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1122013509024 = 25353363160733
BaseRepresentation
bin10000010100111101001…
…101110111010110100000
310222021010001100220002210
4100110331031313112200
5121340340424242044
62215240151242120
7144030353316102
oct20247515672640
93867101326083
101122013509024
113a2930414161
12161554079340
1381a6167a065
143c43cd63572
151e2bd39c1b9
hex1053d3775a0

1122013509024 has 96 divisors (see below), whose sum is σ = 3001732763904. Its totient is φ = 366840714240.

The previous prime is 1122013509007. The next prime is 1122013509047. The reversal of 1122013509024 is 4209053102211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1122013508982 and 1122013509000.

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, 18444162 + ... + 18504894.

It is an arithmetic number, because the mean of its divisors is an integer number (31268049624).

Almost surely, 21122013509024 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 1122013509024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500866381952).

1122013509024 is an abundant number, since it is smaller than the sum of its proper divisors (1879719254880).

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

1122013509024 is a wasteful number, since it uses less digits than its factorization.

1122013509024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64430 (or 64422 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1122013509024 in words is "one trillion, one hundred twenty-two billion, thirteen million, five hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 3631 5088 7262 10893 14524 21786 29048 43572 58096 60733 87144 116192 121466 174288 182199 192443 242932 348576 364398 384886 485864 577329 728796 769772 971728 1154658 1457592 1539544 1943456 2309316 2915184 3079088 3218849 4618632 5830368 6158176 6437698 9237264 9656547 12875396 18474528 19313094 25750792 38626188 51501584 77252376 103003168 154504752 220521523 309009504 441043046 661564569 882086092 1323129138 1764172184 2646258276 3528344368 5292516552 7056688736 10585033104 11687640719 21170066208 23375281438 35062922157 46750562876 70125844314 93501125752 140251688628 187002251504 280503377256 374004503008 561006754512 1122013509024