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102202011221100 = 223527184726349553
BaseRepresentation
bin10111001111001111000010…
…100100101111110001101100
3111101212102020212220200102120
4113033033002210233301230
5101343434204333033400
61001210542241152540
730345565053532560
oct2717170244576154
9441772225820376
10102202011221100
112a6236a1a2a35a
12b56752692b750
1345047ba5a212b
141b3486491d6a0
15bc379759dca0
hex5cf3c292fc6c

102202011221100 has 144 divisors (see below), whose sum is σ = 338130967899648. Its totient is φ = 23347811036160.

The previous prime is 102202011220997. The next prime is 102202011221113. The reversal of 102202011221100 is 1122110202201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102202011221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9296077 + ... + 17053476.

Almost surely, 2102202011221100 is an apocalyptic number.

102202011221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202011221100 is an abundant number, since it is smaller than the sum of its proper divisors (235928956678548).

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

102202011221100 is a wasteful number, since it uses less digits than its factorization.

102202011221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26351424 (or 26351417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202011221100 its reverse (1122110202201), we get a palindrome (103324121423301).

The spelling of 102202011221100 in words is "one hundred two trillion, two hundred two billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1847 2100 3694 5541 7388 9235 11082 12929 18470 22164 25858 27705 36940 38787 46175 51716 55410 64645 77574 92350 110820 129290 138525 155148 184700 193935 258580 277050 323225 387870 554100 646450 775740 969675 1292900 1939350 3878700 26349553 52699106 79048659 105398212 131747765 158097318 184446871 263495530 316194636 368893742 395243295 526991060 553340613 658738825 737787484 790486590 922234355 1106681226 1317477650 1580973180 1844468710 1976216475 2213362452 2634955300 2766703065 3688937420 3952432950 4611171775 5533406130 7904865900 9222343550 11066812260 13833515325 18444687100 27667030650 48667624391 55334061300 97335248782 146002873173 194670497564 243338121955 292005746346 340673370737 486676243910 584011492692 681346741474 730014365865 973352487820 1022020112211 1216690609775 1362693482948 1460028731730 1703366853685 2044040224422 2433381219550 2920057463460 3406733707370 3650071829325 4088080448844 4866762439100 5110100561055 6813467414740 7300143658650 8516834268425 10220201122110 14600287317300 17033668536850 20440402244220 25550502805275 34067337073700 51101005610550 102202011221100