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1010013888 = 263131133581
BaseRepresentation
bin111100001100111…
…001011011000000
32121101112000120210
4330030321123000
54032030421023
6244120034120
734012655622
oct7414713300
92541460523
101010013888
11479143424
12242302940
13131335170
14981d6c12
155da0d593
hex3c3396c0

1010013888 has 112 divisors (see below), whose sum is σ = 2904170976. Its totient is φ = 307937280.

The previous prime is 1010013871. The next prime is 1010013899. The reversal of 1010013888 is 8883100101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280258 + ... + 283838.

It is an arithmetic number, because the mean of its divisors is an integer number (25930098).

Almost surely, 21010013888 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 1010013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452085488).

1010013888 is an abundant number, since it is smaller than the sum of its proper divisors (1894157088).

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

1010013888 is a wasteful number, since it uses less digits than its factorization.

1010013888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1010013888 is about 31780.7156621748. The cubic root of 1010013888 is about 1003.3268822470.

Adding to 1010013888 its reverse (8883100101), we get a palindrome (9893113989).

The spelling of 1010013888 in words is "one billion, ten million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 312 339 416 452 624 678 832 904 1248 1356 1469 1808 2496 2712 2938 3581 3616 4407 5424 5876 7162 7232 8814 10743 10848 11752 14324 17628 21486 21696 23504 28648 35256 42972 46553 47008 57296 70512 85944 93106 94016 114592 139659 141024 171888 186212 229184 279318 282048 343776 372424 404653 558636 687552 744848 809306 1117272 1213959 1489696 1618612 2234544 2427918 2979392 3237224 4469088 4855836 5260489 6474448 8938176 9711672 10520978 12948896 15781467 19423344 21041956 25897792 31562934 38846688 42083912 63125868 77693376 84167824 126251736 168335648 252503472 336671296 505006944 1010013888