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10215442152 = 2332319674733
BaseRepresentation
bin10011000001110001…
…10100011011101000
3222100221011020012100
421200320310123220
5131410123122102
64405400213400
7511101553116
oct114070643350
928327136170
1010215442152
114372394983
121b9116a260
13c6a520436
146cca04ab6
153ebc67a1c
hex260e346e8

10215442152 has 96 divisors (see below), whose sum is σ = 28594874880. Its totient is φ = 3291200640.

The previous prime is 10215442141. The next prime is 10215442163. The reversal of 10215442152 is 25124451201.

It is a happy number.

10215442152 is a `hidden beast` number, since 1 + 0 + 215 + 442 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10215442141) and next prime (10215442163).

It is a super-2 number, since 2×102154421522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155978 + ... + 2160710.

It is an arithmetic number, because the mean of its divisors is an integer number (297863280).

Almost surely, 210215442152 is an apocalyptic number.

10215442152 is a gapful number since it is divisible by the number (12) 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 10215442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297437440).

10215442152 is an abundant number, since it is smaller than the sum of its proper divisors (18379432728).

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

10215442152 is a wasteful number, since it uses less digits than its factorization.

10215442152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10215442152 its reverse (25124451201), we get a palindrome (35339893353).

The spelling of 10215442152 in words is "ten billion, two hundred fifteen million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 967 1116 1934 2232 2901 3868 4733 5802 7736 8703 9466 11604 14199 17406 18932 23208 28398 29977 34812 37864 42597 56796 59954 69624 85194 89931 113592 119908 146723 170388 179862 239816 269793 293446 340776 359724 440169 539586 586892 719448 880338 1079172 1173784 1320507 1760676 2158344 2641014 3521352 4576811 5282028 9153622 10564056 13730433 18307244 27460866 36614488 41191299 54921732 82382598 109843464 141881141 164765196 283762282 329530392 425643423 567524564 851286846 1135049128 1276930269 1702573692 2553860538 3405147384 5107721076 10215442152