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31332402001104 = 24322340954113229
BaseRepresentation
bin1110001111111001001001…
…01100001111010011010000
311002221100101222010102011020
413013330210230033103100
513101322224403013404
6150345523510115440
76412456062466251
oct707744454172320
9132840358112136
1031332402001104
119a8aaa7106256
12362051a04bb80
13146382c4381b9
147a46d3da0b28
15395063646ed9
hex1c7f24b0f4d0

31332402001104 has 160 divisors (see below), whose sum is σ = 81660623385600. Its totient is φ = 10351923793920.

The previous prime is 31332402001073. The next prime is 31332402001211. The reversal of 31332402001104 is 40110020423313.

It is a happy number.

31332402001104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2368456762 + ... + 2368469990.

It is an arithmetic number, because the mean of its divisors is an integer number (510378896160).

Almost surely, 231332402001104 is an apocalyptic number.

It is an amenable number.

31332402001104 is an abundant number, since it is smaller than the sum of its proper divisors (50328221384496).

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

31332402001104 is a wasteful number, since it uses less digits than its factorization.

31332402001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31332402001104 its reverse (40110020423313), we get a palindrome (71442422424417).

The spelling of 31332402001104 in words is "thirty-one trillion, three hundred thirty-two billion, four hundred two million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 223 409 446 541 669 818 892 1082 1227 1338 1623 1636 1784 2164 2454 2676 3246 3272 3568 4328 4908 5352 6492 6544 8656 9816 10704 12984 13229 19632 25968 26458 39687 52916 79374 91207 105832 120643 158748 182414 211664 221269 241286 273621 317496 361929 364828 442538 482572 547242 634992 663807 723858 729656 885076 965144 1094484 1327614 1447716 1459312 1770152 1930288 2188968 2655228 2895432 2950067 3540304 4377936 5310456 5410661 5790864 5900134 7156889 8850201 10620912 10821322 11800268 14313778 16231983 17700402 21470667 21642644 23600536 28627556 32463966 35400804 42941334 43285288 47201072 49342987 57255112 64927932 70801608 85882668 86570576 98685974 114510224 129855864 141603216 148028961 171765336 197371948 259711728 296057922 343530672 394743896 592115844 789487792 1184231688 1206577403 1595986247 2368463376 2413154806 2927167601 3191972494 3619732209 4787958741 4826309612 5854335202 6383944988 7239464418 8781502803 9575917482 9652619224 11708670404 12767889976 14478928836 17563005606 19151834964 19305238448 23417340808 25535779952 28957857672 35126011212 38303669928 46834681616 57915715344 70252022424 76607339856 140504044848 652758375023 1305516750046 1958275125069 2611033500092 3916550250138 5222067000184 7833100500276 10444134000368 15666201000552 31332402001104