Search a number
-
+
100201012023030 = 235531071171502961
BaseRepresentation
bin10110110010000111011101…
…101110100100111011110110
3111010210010022210220022101120
4112302013131232210323312
5101113143133034214110
6553035413124004410
730051166326143562
oct2662073556447366
9433703283808346
10100201012023030
1129a22013063246
12b2a3764230706
1343babb80218c9
141aa5a7d4906a2
15b8b6d19ec870
hex5b21ddba4ef6

100201012023030 has 128 divisors (see below), whose sum is σ = 247521425619456. Its totient is φ = 25948873267200.

The previous prime is 100201012023017. The next prime is 100201012023097. The reversal of 100201012023030 is 30320210102001.

It is a super-2 number, since 2×1002010120230302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 198970750 + ... + 199473710.

It is an arithmetic number, because the mean of its divisors is an integer number (1933761137652).

Almost surely, 2100201012023030 is an apocalyptic number.

100201012023030 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 100201012023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123760712809728).

100201012023030 is an abundant number, since it is smaller than the sum of its proper divisors (147320413596426).

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

100201012023030 is a wasteful number, since it uses less digits than its factorization.

100201012023030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504302.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100201012023030 its reverse (30320210102001), we get a palindrome (130521222125031).

The spelling of 100201012023030 in words is "one hundred trillion, two hundred one billion, twelve million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 107 159 214 265 318 321 530 535 642 795 1070 1171 1590 1605 2342 3210 3513 5671 5855 7026 11342 11710 17013 17565 28355 34026 35130 56710 62063 85065 124126 125297 170130 186189 250594 310315 372378 375891 502961 620630 626485 751782 930945 1005922 1252970 1508883 1861890 1879455 2514805 3017766 3758910 5029610 6640741 7544415 13281482 15088830 19922223 26656933 33203705 39844446 53313866 53816827 66407410 79970799 99611115 107633654 133284665 159941598 161450481 199222230 266569330 269084135 322900962 399853995 538168270 588967331 799707990 807252405 1177934662 1614504810 1766901993 2852291831 2944836655 3533803986 5704583662 5889673310 8556875493 8834509965 14261459155 17113750986 17669019930 28522918310 31215268543 42784377465 62430537086 63019504417 85568754930 93645805629 126039008834 156076342715 187291611258 189058513251 312152685430 315097522085 378117026502 468229028145 630195044170 936458056290 945292566255 1890585132510 3340033734101 6680067468202 10020101202303 16700168670505 20040202404606 33400337341010 50100506011515 100201012023030