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202102013123120 = 24511297919357881
BaseRepresentation
bin101101111100111110001010…
…101100110101101000110000
3222111120202121210011111112202
4231330332022230311220300
5202442214410324414440
61553500214425442332
760366250201130645
oct5574761254655060
9874522553144482
10202102013123120
1159439a8968a450
121a8008833403a8
1388a01a44232a6
1437c9b0aa47dcc
15185720cdac615
hexb7cf8ab35a30

202102013123120 has 80 divisors (see below), whose sum is σ = 530280203778720. Its totient is φ = 70957446604800.

The previous prime is 202102013123111. The next prime is 202102013123287. The reversal of 202102013123120 is 21321310201202.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202102013123092 and 202102013123101.

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, 3959653421 + ... + 3959704460.

It is an arithmetic number, because the mean of its divisors is an integer number (6628502547234).

Almost surely, 2202102013123120 is an apocalyptic number.

202102013123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102013123120 is an abundant number, since it is smaller than the sum of its proper divisors (328178190655600).

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

202102013123120 is a wasteful number, since it uses less digits than its factorization.

202102013123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919357934 (or 7919357928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202102013123120 its reverse (21321310201202), we get a palindrome (223423323324322).

The spelling of 202102013123120 in words is "two hundred two trillion, one hundred two billion, thirteen million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 7919357881 15838715762 31677431524 39596789405 63354863048 79193578810 87112936691 126709726096 158387157620 174225873382 229661378549 316774315240 348451746764 435564683455 459322757098 633548630480 696903493528 871129366910 918645514196 1148306892745 1393806987056 1742258733820 1837291028392 2296613785490 2526275164039 3484517467640 3674582056784 4593227570980 5052550328078 6969034935280 9186455141960 10105100656156 12631375820195 18372910283920 20210201312312 25262751640390 40420402624624 50525503280780 101051006561560 202102013123120