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102210112022220 = 223253715346863667
BaseRepresentation
bin10111001111010110100101…
…011010110110011011001100
3111101220012011110000000110200
4113033112211122312123030
5101344102302134202340
61001214402141333500
730346302600312546
oct2717264532663314
9441805143000420
10102210112022220
112a627079696114
12b569007867290
1345054ab979587
141b34dd2746696
15bc3abd85b330
hex5cf5a56b66cc

102210112022220 has 72 divisors (see below), whose sum is σ = 318416727383664. Its totient is φ = 26519380414848.

The previous prime is 102210112022219. The next prime is 102210112022281. The reversal of 102210112022220 is 22220211012201.

It is a happy number.

102210112022220 is a `hidden beast` number, since 10 + 221 + 0 + 11 + 202 + 2 + 220 = 666.

It is a super-3 number, since 3×1022101120222203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102210112022193 and 102210112022202.

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, 7673425174 + ... + 7673438493.

Almost surely, 2102210112022220 is an apocalyptic number.

102210112022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210112022220 is an abundant number, since it is smaller than the sum of its proper divisors (216206615361444).

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

102210112022220 is a wasteful number, since it uses less digits than its factorization.

102210112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346863719 (or 15346863714 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102210112022220 its reverse (22220211012201), we get a palindrome (124430323034421).

The spelling of 102210112022220 in words is "one hundred two trillion, two hundred ten billion, one hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15346863667 30693727334 46040591001 61387454668 76734318335 92081182002 138121773003 153468636670 184162364004 230202955005 276243546006 306937273340 460405910010 552487092012 567833955679 690608865015 920811820020 1135667911358 1381217730030 1703501867037 2271335822716 2762435460060 2839169778395 3407003734074 5110505601111 5678339556790 6814007468148 8517509335185 10221011202222 11356679113580 17035018670370 20442022404444 25552528005555 34070037340740 51105056011110 102210112022220