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31421332032 = 2632941137639
BaseRepresentation
bin11101010000110110…
…110111101001000000
310000002210210001101020
4131100312313221000
51003322330111112
622233524105440
72161435626006
oct352066675100
9100083701336
1031421332032
1112364582902
12610ab35280
132c699a237c
141741110a76
15c3d7d448c
hex750db7a40

31421332032 has 112 divisors (see below), whose sum is σ = 88100611200. Its totient is φ = 9865891840.

The previous prime is 31421332031. The next prime is 31421332037. The reversal of 31421332032 is 23023312413.

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

It is a junction number, because it is equal to n+sod(n) for n = 31421331993 and 31421332011.

It is not an unprimeable number, because it can be changed into a prime (31421332031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159469 + ... + 297107.

It is an arithmetic number, because the mean of its divisors is an integer number (786612600).

Almost surely, 231421332032 is an apocalyptic number.

31421332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31421332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44050305600).

31421332032 is an abundant number, since it is smaller than the sum of its proper divisors (56679279168).

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

31421332032 is a wasteful number, since it uses less digits than its factorization.

31421332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137724 (or 137714 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31421332032 its reverse (23023312413), we get a palindrome (54444644445).

The spelling of 31421332032 in words is "thirty-one billion, four hundred twenty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 164 174 192 232 246 328 348 464 492 656 696 928 984 1189 1312 1392 1856 1968 2378 2624 2784 3567 3936 4756 5568 7134 7872 9512 14268 19024 28536 38048 57072 76096 114144 137639 228288 275278 412917 550556 825834 1101112 1651668 2202224 3303336 3991531 4404448 5643199 6606672 7983062 8808896 11286398 11974593 13213344 15966124 16929597 22572796 23949186 26426688 31932248 33859194 45145592 47898372 63864496 67718388 90291184 95796744 127728992 135436776 163652771 180582368 191593488 255457984 270873552 327305542 361164736 383186976 490958313 541747104 654611084 766373952 981916626 1083494208 1309222168 1963833252 2618444336 3927666504 5236888672 7855333008 10473777344 15710666016 31421332032