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10122805392 = 2437103367797
BaseRepresentation
bin10010110110101110…
…11100000010010000
3222010110211210110020
421123113130002100
5131212414233032
64352250503440
7505565266110
oct113327340220
928113753406
1010122805392
114325072577
121b66134b80
13c5428729b
146c05ad040
153e3a69b2c
hex25b5dc090

10122805392 has 160 divisors (see below), whose sum is σ = 30296727552. Its totient is φ = 2852762112.

The previous prime is 10122805387. The next prime is 10122805409. The reversal of 10122805392 is 29350822101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12700738 + ... + 12701534.

Almost surely, 210122805392 is an apocalyptic number.

10122805392 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 10122805392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148363776).

10122805392 is an abundant number, since it is smaller than the sum of its proper divisors (20173922160).

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

10122805392 is a wasteful number, since it uses less digits than its factorization.

10122805392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10122805392 in words is "ten billion, one hundred twenty-two million, eight hundred five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 367 412 618 721 734 797 824 1101 1236 1442 1468 1594 1648 2163 2202 2391 2472 2569 2884 2936 3188 4326 4404 4782 4944 5138 5579 5768 5872 6376 7707 8652 8808 9564 10276 11158 11536 12752 15414 16737 17304 17616 19128 20552 22316 30828 33474 34608 37801 38256 41104 44632 61656 66948 75602 82091 89264 113403 123312 133896 151204 164182 226806 246273 264607 267792 292499 302408 328364 453612 492546 529214 574637 584998 604816 656728 793821 877497 907224 985092 1058428 1149274 1169996 1313456 1587642 1723911 1754994 1814448 1970184 2047493 2116856 2298548 2339992 3175284 3447822 3509988 3940368 4094986 4233712 4597096 4679984 6142479 6350568 6895644 7019976 8189972 9194192 12284958 12701136 13791288 14039952 16379944 24569916 27582576 30127397 32759888 49139832 60254794 90382191 98279664 120509588 180764382 210891779 241019176 361528764 421783558 482038352 632675337 723057528 843567116 1265350674 1446115056 1687134232 2530701348 3374268464 5061402696 10122805392