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101330100310232 = 231729372131325849
BaseRepresentation
bin10111000010100011000000…
…101000100101000011011000
3111021210001200220201011122202
4113002203000220211003120
5101240143021134411412
6555302223324305332
730225600230216303
oct2702430050450330
9437701626634582
10101330100310232
112a317943a55a12
12b4465516a2248
134470506327231
141b0458dc77b3a
15baac660353c2
hex5c28c0a250d8

101330100310232 has 128 divisors (see below), whose sum is σ = 213832415160000. Its totient is φ = 44774956154880.

The previous prime is 101330100310217. The next prime is 101330100310289. The reversal of 101330100310232 is 232013001033101.

101330100310232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 310809644 + ... + 311135492.

Almost surely, 2101330100310232 is an apocalyptic number.

It is an amenable number.

101330100310232 is an abundant number, since it is smaller than the sum of its proper divisors (112502314849768).

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

101330100310232 is a wasteful number, since it uses less digits than its factorization.

101330100310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328069 (or 328065 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101330100310232 its reverse (232013001033101), we get a palindrome (333343101343333).

The spelling of 101330100310232 in words is "one hundred one trillion, three hundred thirty billion, one hundred million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 29 34 37 58 68 74 116 136 148 232 296 493 629 986 1073 1258 1972 2131 2146 2516 3944 4262 4292 5032 8524 8584 17048 18241 36227 36482 61799 72454 72964 78847 123598 144908 145928 157694 247196 289816 315388 325849 494392 630776 651698 1050583 1303396 1340399 2101166 2286563 2606792 2680798 4202332 4573126 5361596 5539433 8404664 9146252 9449621 10723192 11078866 12056413 18292504 18899242 22157732 24112826 37798484 38871571 44315464 48225652 75596968 77743142 96451304 155486284 160643557 204959021 310972568 321287114 349635977 409918042 642574228 694384219 699271954 819836084 1285148456 1388768438 1398543908 1639672168 2777536876 2797087816 5555073752 5943811609 11804531723 11887623218 20137142351 23609063446 23775246436 25692216103 40274284702 47218126892 47550492872 51384432206 80548569404 94436253784 102768864412 161097138808 205537728824 342331419967 436767673751 684662839934 745074266987 873535347502 1369325679868 1490148533974 1747070695004 2738651359736 2980297067948 3494141390008 5960594135896 12666262538779 25332525077558 50665050155116 101330100310232