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31023222132 = 22374761128819
BaseRepresentation
bin11100111001001000…
…001100110101110100
32222002001122222021010
4130321020030311310
51002013421102012
622130223152220
72145533015520
oct347110146564
988061588233
1031023222132
111217a888a61
126019745670
132c05373196
1417042bcd80
15c18895c3c
hex73920cd74

31023222132 has 96 divisors (see below), whose sum is σ = 85874503680. Its totient is φ = 8532904320.

The previous prime is 31023222121. The next prime is 31023222199. The reversal of 31023222132 is 23122232013.

It is a happy number.

It is a super-2 number, since 2×310232221322 (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 = 31023222099 and 31023222108.

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, 176419 + ... + 305237.

It is an arithmetic number, because the mean of its divisors is an integer number (894526080).

Almost surely, 231023222132 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 31023222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42937251840).

31023222132 is an abundant number, since it is smaller than the sum of its proper divisors (54851281548).

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

31023222132 is a wasteful number, since it uses less digits than its factorization.

31023222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128941 (or 128939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31023222132 its reverse (23122232013), we get a palindrome (54145454145).

The spelling of 31023222132 in words is "thirty-one billion, twenty-three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 61 84 94 122 141 183 188 244 282 329 366 427 564 658 732 854 987 1281 1316 1708 1974 2562 2867 3948 5124 5734 8601 11468 17202 20069 34404 40138 60207 80276 120414 128819 240828 257638 386457 515276 772914 901733 1545828 1803466 2705199 3606932 5410398 6054493 7857959 10820796 12108986 15715918 18163479 23573877 24217972 31431836 36326958 42381451 47147754 55005713 72653916 84762902 94295508 110011426 127144353 165017139 169525804 220022852 254288706 330034278 369324073 508577412 660068556 738648146 1107972219 1477296292 2215944438 2585268511 4431888876 5170537022 7755805533 10341074044 15511611066 31023222132