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10000202220120 = 2335719136223211
BaseRepresentation
bin1001000110000101101010…
…0000000100001001011000
31022102000021021202002200110
42101201122200010021120
52302320403232020440
633134010211204320
72051330222236320
oct221413240041130
938360237662613
1010000202220120
1132060754a2a92
1211561335a66a0
1357702700c1b8
14268025d2c280
151251dca8a080
hex9185a804258

10000202220120 has 128 divisors (see below), whose sum is σ = 34304335971840. Its totient is φ = 2284565283840.

The previous prime is 10000202220109. The next prime is 10000202220133. The reversal of 10000202220120 is 2102220200001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000202220096 and 10000202220105.

It is a congruent 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, 1504686 + ... + 4718525.

It is an arithmetic number, because the mean of its divisors is an integer number (268002624780).

Almost surely, 210000202220120 is an apocalyptic number.

10000202220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000202220120 is an abundant number, since it is smaller than the sum of its proper divisors (24304133751720).

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

10000202220120 is a wasteful number, since it uses less digits than its factorization.

10000202220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225145 (or 6225141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000202220120 its reverse (2102220200001), we get a palindrome (12102422420121).

The spelling of 10000202220120 in words is "ten trillion, two hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1913 3826 5739 7652 9565 11478 13391 15304 19130 22956 26782 28695 38260 40173 45912 53564 57390 66955 76520 80346 107128 114780 133910 160692 200865 229560 267820 321384 401730 535640 803460 1606920 6223211 12446422 18669633 24892844 31116055 37339266 43562477 49785688 62232110 74678532 87124954 93348165 124464220 130687431 149357064 174249908 186696330 217812385 248928440 261374862 348499816 373392660 435624770 522749724 653437155 746785320 871249540 1045499448 1306874310 1742499080 2613748620 5227497240 11905002643 23810005286 35715007929 47620010572 59525013215 71430015858 83335018501 95240021144 119050026430 142860031716 166670037002 178575039645 238100052860 250005055503 285720063432 333340074004 357150079290 416675092505 476200105720 500010111006 666680148008 714300158580 833350185010 1000020222012 1250025277515 1428600317160 1666700370020 2000040444024 2500050555030 3333400740040 5000101110060 10000202220120