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2302104012032 = 28112233231259
BaseRepresentation
bin100001100000000000000…
…101111000010100000000
322011002010120211202121202
4201200000011320110000
5300204202111341112
64521323314240332
7325215166144316
oct41400005702400
98132116752552
102302104012032
11808353776500
123121b5b860a8
1313911a256cc6
147d5cb2040b6
153ed3a2476c2
hex21800178500

2302104012032 has 108 divisors (see below), whose sum is σ = 5270546961120. Its totient is φ = 1000914478080.

The previous prime is 2302104012017. The next prime is 2302104012079.

2302104012032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2302104011995 and 2302104012013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903182 + ... + 2328077.

Almost surely, 22302104012032 is an apocalyptic number.

2302104012032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2302104012032 is an abundant number, since it is smaller than the sum of its proper divisors (2968442949088).

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

2302104012032 is a wasteful number, since it uses less digits than its factorization.

2302104012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231320 (or 3231295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 2302104012032 in words is "two trillion, three hundred two billion, one hundred four million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 704 736 968 1012 1408 1472 1936 2024 2783 2816 2944 3872 4048 5566 5888 7744 8096 11132 15488 16192 22264 30976 32384 44528 64768 89056 178112 356224 712448 3231259 6462518 12925036 25850072 35543849 51700144 71087698 74318957 103400288 142175396 148637914 206800576 284350792 297275828 390982339 413601152 568701584 594551656 781964678 817508527 827202304 1137403168 1189103312 1563929356 1635017054 2274806336 2378206624 3127858712 3270034108 4549612672 4756413248 6255717424 6540068216 8992593797 9099225344 9512826496 12511434848 13080136432 17985187594 19025652992 25022869696 26160272864 35970375188 50045739392 52320545728 71940750376 100091478784 104641091456 143881500752 209282182912 287763001504 575526003008 1151052006016 2302104012032