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31044303240030 = 233510091062710723
BaseRepresentation
bin1110000111100000100001…
…01010101011101101011110
311001220210202212110222001000
413003300100222223231132
513032112213112140110
6150005320033531130
76352606526435313
oct703602052535536
9131823685428030
1031044303240030
1199898a6945a03
123594716413aa6
131442608172502
147947a36ccd0a
1538c800beb1c0
hex1c3c10aabb5e

31044303240030 has 128 divisors (see below), whose sum is σ = 82882381478400. Its totient is φ = 8268726799872.

The previous prime is 31044303239993. The next prime is 31044303240031. The reversal of 31044303240030 is 3004230344013.

31044303240030 is a `hidden beast` number, since 310 + 4 + 4 + 303 + 2 + 40 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31044303239976 and 31044303240003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044303240031) 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 63 ways as a sum of consecutive naturals, for example, 2895108249 + ... + 2895118971.

It is an arithmetic number, because the mean of its divisors is an integer number (647518605300).

Almost surely, 231044303240030 is an apocalyptic number.

31044303240030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31044303240030 is an abundant number, since it is smaller than the sum of its proper divisors (51838078238370).

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

31044303240030 is a wasteful number, since it uses less digits than its factorization.

31044303240030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375 (or 22369 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31044303240030 its reverse (3004230344013), we get a palindrome (34048533584043).

The spelling of 31044303240030 in words is "thirty-one trillion, forty-four billion, three hundred three million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1009 2018 3027 5045 6054 9081 10090 10627 10723 15135 18162 21254 21446 27243 30270 31881 32169 45405 53135 53615 54486 63762 64338 90810 95643 96507 106270 107230 136215 159405 160845 191286 193014 272430 286929 289521 318810 321690 478215 482535 573858 579042 956430 965070 1434645 1447605 2869290 2895210 10722643 10819507 21445286 21639014 32167929 32458521 53613215 54097535 64335858 64917042 96503787 97375563 107226430 108195070 113953321 160839645 162292605 193007574 194751126 227906642 289511361 292126689 321679290 324585210 341859963 482518935 486877815 569766605 579022722 584253378 683719926 965037870 973755630 1025579889 1139533210 1447556805 1460633445 1709299815 2051159778 2895113610 2921266890 3076739667 3418599630 5127899445 6153479334 10255798890 15383698335 30767396670 114978900889 229957801778 344936702667 574894504445 689873405334 1034810108001 1149789008890 1724683513335 2069620216002 3104430324003 3449367026670 5174050540005 6208860648006 10348101080010 15522151620015 31044303240030