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100223231202112 = 2629538312275423
BaseRepresentation
bin10110110010011100001010…
…000110000001001101000000
3111010212020200022012120001011
4112302130022012001031000
5101114024134141431422
6553053530010050304
730052614046066414
oct2662341206011500
9433766608176034
10100223231202112
1129a30485221367
12b2a7b25419994
1343c00193b4755
141aa6b8a3a6d44
15b8c0824c3077
hex5b270a181340

100223231202112 has 112 divisors (see below), whose sum is σ = 212145841635840. Its totient is φ = 46898789869568.

The previous prime is 100223231202097. The next prime is 100223231202119. The reversal of 100223231202112 is 211202132322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223231202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026833 + ... + 14302255.

It is an arithmetic number, because the mean of its divisors is an integer number (1894159300320).

Almost surely, 2100223231202112 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 100223231202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106072920817920).

100223231202112 is an abundant number, since it is smaller than the sum of its proper divisors (111922610433728).

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

100223231202112 is a wasteful number, since it uses less digits than its factorization.

100223231202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275600 (or 12275590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100223231202112 its reverse (211202132322001), we get a palindrome (311425363524113).

The spelling of 100223231202112 in words is "one hundred trillion, two hundred twenty-three billion, two hundred thirty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 64 83 106 116 166 212 232 332 424 464 664 848 928 1328 1537 1696 1856 2407 2656 3074 3392 4399 4814 5312 6148 8798 9628 12296 17596 19256 24592 35192 38512 49184 70384 77024 98368 127571 140768 154048 255142 281536 510284 1020568 2041136 4082272 8164544 12275423 24550846 49101692 98203384 196406768 355987267 392813536 650597419 711974534 785627072 1018860109 1301194838 1423949068 2037720218 2602389676 2847898136 4075440436 5204779352 5695796272 8150880872 10409558704 11391592544 16301761744 18867325151 20819117408 22783185088 29546943161 32603523488 37734650302 41638234816 53999585777 59093886322 65207046976 75469300604 107999171554 118187772644 150938601208 215998343108 236375545288 301877202416 431996686216 472751090576 603754404832 863993372432 945502181152 1207508809664 1565987987533 1727986744864 1891004362304 3131975975066 3455973489728 6263951950132 12527903900264 25055807800528 50111615601056 100223231202112