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1122126096 = 243713318287
BaseRepresentation
bin100001011100010…
…0100100100010000
32220012110220121210
41002320210210100
54244231013341
6303203020120
736543625440
oct10270444420
92805426553
101122126096
11526457a43
1227396a640
1314b629a50
14a905c120
15687a6c16
hex42e24910

1122126096 has 160 divisors (see below), whose sum is σ = 3683319808. Its totient is φ = 286364160.

The previous prime is 1122126091. The next prime is 1122126097. The reversal of 1122126096 is 6906212211.

It is not an unprimeable number, because it can be changed into a prime (1122126091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131265 + ... + 139551.

Almost surely, 21122126096 is an apocalyptic number.

1122126096 is a gapful number since it is divisible by the number (16) 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 1122126096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841659904).

1122126096 is an abundant number, since it is smaller than the sum of its proper divisors (2561193712).

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

1122126096 is a wasteful number, since it uses less digits than its factorization.

1122126096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1122126096 is about 33498.1506355202. The cubic root of 1122126096 is about 1039.1555324367.

The spelling of 1122126096 in words is "one billion, one hundred twenty-two million, one hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8287 8463 9672 10416 11284 16574 16926 19344 22568 24861 33148 33852 45136 49722 58009 66296 67704 99444 107731 116018 132592 135408 174027 198888 215462 232036 256897 323193 348054 397776 430924 464072 513794 646386 696108 754117 770691 861848 928144 1027588 1292772 1392216 1508234 1541382 1723696 1798279 2055176 2262351 2585544 2784432 3016468 3082764 3339661 3596558 4110352 4524702 5171088 5394837 6032936 6165528 6679322 7193116 9049404 10018983 10789674 12065872 12331056 13358644 14386232 18098808 20037966 21579348 23377627 26717288 28772464 36197616 40075932 43158696 46755254 53434576 70132881 80151864 86317392 93510508 140265762 160303728 187021016 280531524 374042032 561063048 1122126096