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1053118112 = 252331101457
BaseRepresentation
bin111110110001010…
…100111010100000
32201101121221110112
4332301110322200
54124044234422
6252255550452
735045233124
oct7661247240
92641557415
101053118112
114a0504252
1225482b428
1313a247917
149dc17584
15626c4ee2
hex3ec54ea0

1053118112 has 96 divisors (see below), whose sum is σ = 2260306944. Its totient is φ = 481536000.

The previous prime is 1053118051. The next prime is 1053118133. The reversal of 1053118112 is 2118113501.

1053118112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10531181122 = 2218115515644889088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 2304188 + ... + 2304644.

It is an arithmetic number, because the mean of its divisors is an integer number (23544864).

Almost surely, 21053118112 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 1053118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130153472).

1053118112 is an abundant number, since it is smaller than the sum of its proper divisors (1207188832).

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

1053118112 is a wasteful number, since it uses less digits than its factorization.

1053118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 1053118112 is about 32451.7813378557. The cubic root of 1053118112 is about 1017.4014697315.

The spelling of 1053118112 in words is "one billion, fifty-three million, one hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 101 124 184 202 248 368 404 457 496 713 736 808 914 992 1426 1616 1828 2323 2852 3131 3232 3656 4646 5704 6262 7312 9292 10511 11408 12524 14167 14624 18584 21022 22816 25048 28334 37168 42044 46157 50096 56668 72013 74336 84088 92314 100192 113336 144026 168176 184628 226672 288052 325841 336352 369256 453344 576104 651682 738512 1061611 1152208 1303364 1430867 1477024 2123222 2304416 2606728 2861734 4246444 5213456 5723468 8492888 10426912 11446936 16985776 22893872 32909941 33971552 45787744 65819882 131639764 263279528 526559056 1053118112