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31021324131 = 3747791313037
BaseRepresentation
bin11100111001000000…
…111101011101100011
32222001221002112200210
4130321000331131203
51002012424333011
622130114345203
72145510622140
oct347100753543
988057075623
1031021324131
1112179801a66
126018b8b203
132c04b5a2c5
141703d473c7
15c1861d6a6
hex73903d763

31021324131 has 64 divisors (see below), whose sum is σ = 49276846080. Its totient is φ = 16993342080.

The previous prime is 31021324121. The next prime is 31021324163. The reversal of 31021324131 is 13142312013.

It is not a de Polignac number, because 31021324131 - 27 = 31021324003 is a prime.

It is a super-2 number, since 2×310213241312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31021324098 and 31021324107.

It is not an unprimeable number, because it can be changed into a prime (31021324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10212945 + ... + 10215981.

It is an arithmetic number, because the mean of its divisors is an integer number (769950720).

Almost surely, 231021324131 is an apocalyptic number.

31021324131 is a deficient number, since it is larger than the sum of its proper divisors (18255521949).

31021324131 is a wasteful number, since it uses less digits than its factorization.

31021324131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31021324131 its reverse (13142312013), we get a palindrome (44163636144).

The spelling of 31021324131 in words is "thirty-one billion, twenty-one million, three hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 79 131 141 237 329 393 553 917 987 1659 2751 3037 3713 6157 9111 10349 11139 18471 21259 25991 31047 43099 63777 72443 77973 129297 142739 217329 239923 397847 428217 486403 719769 999173 1193541 1459209 1679461 2784929 2997519 3404821 5038383 8354787 10214463 11276381 18698809 31429913 33829143 56096427 78934667 94289739 130891663 220009391 236804001 392674989 660028173 1477205911 4431617733 10340441377 31021324131