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1002232133312 = 261923265713487
BaseRepresentation
bin11101001010110011011…
…00001011011011000000
310112210221021120112202012
432211121230023123000
5112410032411231222
62044230304512052
7132260150400224
oct16453154133300
93483837515665
101002232133312
11357053a02773
121422a561b628
137368286b197
1436718a8a784
151b10c6ce1e2
hexe959b0b6c0

1002232133312 has 112 divisors (see below), whose sum is σ = 2185483299840. Its totient is φ = 453896036352.

The previous prime is 1002232133311. The next prime is 1002232133317. The reversal of 1002232133312 is 2133312322001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1002232133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74304233 + ... + 74317719.

Almost surely, 21002232133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002232133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092741649920).

1002232133312 is an abundant number, since it is smaller than the sum of its proper divisors (1183251166528).

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

1002232133312 is a wasteful number, since it uses less digits than its factorization.

1002232133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16198 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1002232133312 its reverse (2133312322001), we get a palindrome (3135544455313).

The spelling of 1002232133312 in words is "one trillion, two billion, two hundred thirty-two million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 2657 3496 5314 6992 10628 13487 13984 21256 26974 27968 42512 50483 53948 61111 85024 100966 107896 122222 170048 201932 215792 244444 256253 310201 403864 431584 488888 512506 620402 807728 863168 977776 1025012 1161109 1240804 1615456 1955552 2050024 2322218 2481608 3230912 3911104 4100048 4644436 4963216 5893819 8200096 9288872 9926432 11787638 16400192 18577744 19852864 23575276 35834959 37155488 47150552 71669918 74310976 94301104 143339836 188602208 286679672 377204416 573359344 680864221 824204057 1146718688 1361728442 1648408114 2293437376 2723456884 3296816228 5446913768 6593632456 10893827536 13187264912 15659877083 21787655072 26374529824 31319754166 43575310144 52749059648 62639508332 125279016664 250558033328 501116066656 1002232133312