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10242310134330 = 2335533499204557
BaseRepresentation
bin1001010100001011100101…
…0000011101101000111010
31100021011012012111110101000
42111002321100131220322
52320302222343244310
633441130300105430
72104660664452521
oct225027120355072
940234165443330
1010242310134330
11329981506638a
121195040b35276
13593acc00cb31
14275a325274b8
1512b65cac34c0
hex950b941da3a

10242310134330 has 128 divisors (see below), whose sum is σ = 27836252640000. Its totient is φ = 2678970108672.

The previous prime is 10242310134323. The next prime is 10242310134373. The reversal of 10242310134330 is 3343101324201.

It is a happy number.

10242310134330 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 310 + 1 + 343 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10242310134294 and 10242310134303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49968412 + ... + 50172968.

It is an arithmetic number, because the mean of its divisors is an integer number (217470723750).

Almost surely, 210242310134330 is an apocalyptic number.

10242310134330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242310134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918126320000).

10242310134330 is an abundant number, since it is smaller than the sum of its proper divisors (17593942505670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10242310134330 is a wasteful number, since it uses less digits than its factorization.

10242310134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208125 (or 208119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10242310134330 its reverse (3343101324201), we get a palindrome (13585411458531).

The spelling of 10242310134330 in words is "ten trillion, two hundred forty-two billion, three hundred ten million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 3499 4770 6998 7155 10497 14310 17495 20994 31491 34990 52485 62982 94473 104970 157455 185447 188946 204557 314910 370894 409114 472365 556341 613671 927235 944730 1022785 1112682 1227342 1669023 1841013 1854470 2045570 2781705 3068355 3338046 3682026 5007069 5523039 5563410 6136710 8345115 9205065 10014138 10841521 11046078 16690230 18410130 21683042 25035345 27615195 32524563 50070690 54207605 55230390 65049126 97573689 108415210 162622815 195147378 292721067 325245630 487868445 585442134 715744943 975736890 1431489886 1463605335 2147234829 2927210670 3578724715 4294469658 6441704487 7157449430 10736174145 12883408974 19325113461 21472348290 32208522435 37934481979 38650226922 64417044870 75868963958 96625567305 113803445937 189672409895 193251134610 227606891874 341410337811 379344819790 569017229685 682820675622 1024231013433 1138034459370 1707051689055 2048462026866 3414103378110 5121155067165 10242310134330