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202101002101200 = 24352808920820559
BaseRepresentation
bin101101111100111101001110…
…011100000110000111010000
3222111120200000022202021012110
4231330331032130012013100
5202442210323014214300
61553455530232025320
760366213143443116
oct5574751634060720
9874520008667173
10202101002101200
115943960aa18744
121a800640832240
1388a0072b27377
1437c9a5266bab6
15185719e250550
hexb7cf4e7061d0

202101002101200 has 120 divisors (see below), whose sum is σ = 647476942057600. Its totient is φ = 53886935393280.

The previous prime is 202101002101169. The next prime is 202101002101231. The reversal of 202101002101200 is 2101200101202.

It is an interprime number because it is at equal distance from previous prime (202101002101169) and next prime (202101002101231).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703480 + ... + 20117079.

Almost surely, 2202101002101200 is an apocalyptic number.

202101002101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101002101200 is an abundant number, since it is smaller than the sum of its proper divisors (445375939956400).

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

202101002101200 is a wasteful number, since it uses less digits than its factorization.

202101002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20828669 (or 20828658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202101002101200 its reverse (2101200101202), we get a palindrome (204202202202402).

It can be divided in two parts, 202101002 and 101200, that added together give a palindrome (202202202).

The spelling of 202101002101200 in words is "two hundred two trillion, one hundred one billion, two million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 8089 16178 24267 32356 40445 48534 64712 80890 97068 121335 129424 161780 194136 202225 242670 323560 388272 404450 485340 606675 647120 808900 970680 1213350 1617800 1941360 2426700 3235600 4853400 9706800 20820559 41641118 62461677 83282236 104102795 124923354 166564472 208205590 249846708 312308385 333128944 416411180 499693416 520513975 624616770 832822360 999386832 1041027950 1249233540 1561541925 1665644720 2082055900 2498467080 3123083850 4164111800 4996934160 6246167700 8328223600 12492335400 24984670800 168417501751 336835003502 505252505253 673670007004 842087508755 1010505010506 1347340014008 1684175017510 2021010021012 2526262526265 2694680028016 3368350035020 4042020042024 4210437543775 5052525052530 6736700070040 8084040084048 8420875087550 10105050105060 12631312631325 13473400140080 16841750175100 20210100210120 25262625262650 33683500350200 40420200420240 50525250525300 67367000700400 101050501050600 202101002101200