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102202000012200 = 233521121407741047
BaseRepresentation
bin10111001111001111000001…
…111001111111001110101000
3111101212102020002211012201010
4113033033001321333032220
5101343434144000342300
61001210541201023520
730345564556336554
oct2717170171771650
9441772202735633
10102202000012200
112a623696673a00
12b567523024ba0
1345047b817924a
141b34863242864
15bc37965d7a50
hex5cf3c1e7f3a8

102202000012200 has 144 divisors (see below), whose sum is σ = 348246980454240. Its totient is φ = 24776242409600.

The previous prime is 102202000012187. The next prime is 102202000012207. The reversal of 102202000012200 is 2210000202201.

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

It is not an unprimeable number, because it can be changed into a prime (102202000012207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 703797924 + ... + 703943123.

It is an arithmetic number, because the mean of its divisors is an integer number (2418381808710).

Almost surely, 2102202000012200 is an apocalyptic number.

102202000012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202000012200 is an abundant number, since it is smaller than the sum of its proper divisors (246044980442040).

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

102202000012200 is a wasteful number, since it uses less digits than its factorization.

102202000012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407741088 (or 1407741068 counting only the distinct ones).

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

Adding to 102202000012200 its reverse (2210000202201), we get a palindrome (104412000214401).

It can be divided in two parts, 10220200001 and 2200, that added together give a palindrome (10220202201).

The spelling of 102202000012200 in words is "one hundred two trillion, two hundred two billion, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 1407741047 2815482094 4223223141 5630964188 7038705235 8446446282 11261928376 14077410470 15485151517 16892892564 21116115705 28154820940 30970303034 33785785128 35193526175 42232231410 46455454551 56309641880 61940606068 70387052350 77425757585 84464462820 92910909102 105580578525 123881212136 140774104700 154851515170 168928925640 170336666687 185821818204 211161157050 232277272755 281548209400 309703030340 340673333374 371643636408 387128787925 422322314100 464554545510 511010000061 619406060680 681346666748 774257575850 844644628200 851683333435 929109091020 1022020000122 1161386363775 1362693333496 1548515151700 1703366666870 1858218182040 2044040000244 2322772727550 2555050000305 3097030303400 3406733333740 4088080000488 4258416667175 4645545455100 5110100000610 6813466667480 8516833334350 9291090910200 10220200001220 12775250001525 17033666668700 20440400002440 25550500003050 34067333337400 51101000006100 102202000012200