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31212431244 = 22332341929989
BaseRepresentation
bin11101000100011001…
…111110011110001100
32222120020200210101000
4131010121332132030
51002410340244434
622201102420300
72153321200551
oct350431763614
988506623330
1031212431244
1112267670625
126070b91690
132c3561c937
141721492a28
15c2a2bcb99
hex74467e78c

31212431244 has 96 divisors (see below), whose sum is σ = 84643776000. Its totient is φ = 9927707328.

The previous prime is 31212431231. The next prime is 31212431291. The reversal of 31212431244 is 44213421213.

It is a super-2 number, since 2×312124312442 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1025802 + ... + 1055790.

It is an arithmetic number, because the mean of its divisors is an integer number (881706000).

Almost surely, 231212431244 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 31212431244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42321888000).

31212431244 is an abundant number, since it is smaller than the sum of its proper divisors (53431344756).

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

31212431244 is a wasteful number, since it uses less digits than its factorization.

31212431244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30444 (or 30436 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 31212431244 its reverse (44213421213), we get a palindrome (75425852457).

The spelling of 31212431244 in words is "thirty-one billion, two hundred twelve million, four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 419 621 828 838 1242 1257 1676 2484 2514 3771 5028 7542 9637 11313 15084 19274 22626 28911 29989 38548 45252 57822 59978 86733 89967 115644 119956 173466 179934 260199 269901 346932 359868 520398 539802 689747 809703 1040796 1079604 1379494 1619406 2069241 2758988 3238812 4138482 6207723 8276964 12415446 12565391 18623169 24830892 25130782 37246338 37696173 50261564 74492676 75392346 113088519 150784692 226177038 289003993 339265557 452354076 578007986 678531114 867011979 1156015972 1357062228 1734023958 2601035937 3468047916 5202071874 7803107811 10404143748 15606215622 31212431244