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100231001202112 = 2611541580745319
BaseRepresentation
bin10110110010100011011001…
…001110001101110111000000
3111010212222201210211110020221
4112302203121032031313000
5101114141042301431422
6553101253012112424
730053310435023554
oct2662433116156700
9433788653743227
10100231001202112
1129a33802186370
12b2a9533605714
1343c09870985a1
141aa72c62bd864
15b8c3896da3c7
hex5b28d938ddc0

100231001202112 has 112 divisors (see below), whose sum is σ = 217420636308480. Its totient is φ = 45466498022400.

The previous prime is 100231001202103. The next prime is 100231001202119. The reversal of 100231001202112 is 211202100132001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231001202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211654589 + ... + 2211699907.

Almost surely, 2100231001202112 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 100231001202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108710318154240).

100231001202112 is an abundant number, since it is smaller than the sum of its proper divisors (117189635106368).

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

100231001202112 is a wasteful number, since it uses less digits than its factorization.

100231001202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51690 (or 51680 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100231001202112 its reverse (211202100132001), we get a palindrome (311433101334113).

The spelling of 100231001202112 in words is "one hundred trillion, two hundred thirty-one billion, one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 541 704 1082 2164 4328 5807 5951 8656 11614 11902 17312 23228 23804 34624 45319 46456 47608 63877 90638 92912 95216 127754 181276 185824 190432 255508 362552 371648 380864 498509 511016 725104 997018 1022032 1450208 1994036 2044064 2900416 3141587 3988072 4088128 6283174 7976144 12566348 15952288 24517579 25132696 31904576 34557457 49035158 50265392 69114914 98070316 100530784 138229828 196140632 201061568 263167433 269693369 276459656 392281264 526334866 539386738 552919312 784562528 1052669732 1078773476 1105838624 1569125056 2105339464 2157546952 2211677248 2894841763 4210678928 4315093904 5789683526 8421357856 8630187808 11579367052 16842715712 17260375616 23158734104 46317468208 92634936416 142373581253 185269872832 284747162506 569494325012 1138988650024 1566109393783 2277977300048 3132218787566 4555954600096 6264437575132 9111909200192 12528875150264 25057750300528 50115500601056 100231001202112