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1031013312 = 26372109589
BaseRepresentation
bin111101011101000…
…000001111000000
32122212000220101020
4331131000033000
54102414411222
6250150105440
734356316500
oct7535001700
92585026336
101031013312
11489a8661a
1224934b280
131357a8464
149ad01a00
15607aa65c
hex3d7403c0

1031013312 has 84 divisors (see below), whose sum is σ = 3173288040. Its totient is φ = 294572544.

The previous prime is 1031013299. The next prime is 1031013317. The reversal of 1031013312 is 2133101301.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 1031013291 and 1031013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45387 + ... + 64202.

Almost surely, 21031013312 is an apocalyptic number.

1031013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031013312 is an abundant number, since it is smaller than the sum of its proper divisors (2142274728).

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

1031013312 is a wasteful number, since it uses less digits than its factorization.

1031013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109618 (or 109601 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1031013312 is about 32109.3960080223. The cubic root of 1031013312 is about 1010.2327052601.

Adding to 1031013312 its reverse (2133101301), we get a palindrome (3164114613).

The spelling of 1031013312 in words is "one billion, thirty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 109589 219178 328767 438356 657534 767123 876712 1315068 1534246 1753424 2301369 2630136 3068492 3506848 4602738 5260272 5369861 6136984 7013696 9205476 10520544 10739722 12273968 16109583 18410952 21041088 21479444 24547936 32219166 36821904 42958888 49095872 64438332 73643808 85917776 128876664 147287616 171835552 257753328 343671104 515506656 1031013312