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204011020142320 = 245139144712678863
BaseRepresentation
bin101110011000110000000100…
…011000101100011011110000
3222202100021002202122222210211
4232120300010120230123300
5203220004032124023240
62001521211355233504
760654211156064506
oct5630600430543360
9882307082588724
10204011020142320
115a00565134aa56
121aa6a851a48894
1389ab206215091
143854286798676
15188bbdc766bea
hexb98c0462c6f0

204011020142320 has 80 divisors (see below), whose sum is σ = 478068231674880. Its totient is φ = 80961329740032.

The previous prime is 204011020142291. The next prime is 204011020142357. The reversal of 204011020142320 is 23241020110402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 204011020142291 and 204011020142300.

It is a congruent number.

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, 9751209 + ... + 22430071.

It is an arithmetic number, because the mean of its divisors is an integer number (5975852895936).

Almost surely, 2204011020142320 is an apocalyptic number.

204011020142320 is a gapful number since it is divisible by the number (20) 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 204011020142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239034115837440).

204011020142320 is an abundant number, since it is smaller than the sum of its proper divisors (274057211532560).

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

204011020142320 is a wasteful number, since it uses less digits than its factorization.

204011020142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680462 (or 12680456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 204011020142320 its reverse (23241020110402), we get a palindrome (227252040252722).

The spelling of 204011020142320 in words is "two hundred four trillion, eleven billion, twenty million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 1447 2224 2780 2894 5560 5788 7235 11120 11576 14470 23152 28940 57880 115760 201133 402266 804532 1005665 1609064 2011330 3218128 4022660 8045320 12678863 16090640 25357726 50715452 63394315 101430904 126788630 202861808 253577260 507154520 1014309040 1762361957 3524723914 7049447828 8811809785 14098895656 17623619570 18346314761 28197791312 35247239140 36692629522 70494478280 73385259044 91731573805 140988956560 146770518088 183463147610 293541036176 366926295220 733852590440 1467705180880 2550137751779 5100275503558 10200551007116 12750688758895 20401102014232 25501377517790 40802204028464 51002755035580 102005510071160 204011020142320