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10100222220 = 22351131493657
BaseRepresentation
bin10010110100000010…
…10010100100001100
3222001220100110011110
421122001102210030
5131141124102340
64350122452020
7505202321004
oct113201224414
928056313143
1010100222220
1143133484a0
121b5a664010
13c4c6ab16a
146bb5b1004
153e1aa8680
hex25a05290c

10100222220 has 96 divisors (see below), whose sum is σ = 31846864896. Its totient is φ = 2369548800.

The previous prime is 10100222219. The next prime is 10100222233. The reversal of 10100222220 is 2222200101.

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 = 10100222196 and 10100222205.

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, 226369 + ... + 267288.

It is an arithmetic number, because the mean of its divisors is an integer number (331738176).

Almost surely, 210100222220 is an apocalyptic number.

10100222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222220 is an abundant number, since it is smaller than the sum of its proper divisors (21746642676).

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

10100222220 is a wasteful number, since it uses less digits than its factorization.

10100222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493711 (or 493709 counting only the distinct ones).

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

Adding to 10100222220 its reverse (2222200101), we get a palindrome (12322422321).

The spelling of 10100222220 in words is "ten billion, one hundred million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 493657 987314 1480971 1974628 2468285 2961942 4936570 5430227 5923884 7404855 9873140 10860454 14809710 15303367 16290681 21720908 27151135 29619420 30606734 32581362 45910101 54302270 61213468 65162724 76516835 81453405 91820202 108604540 153033670 162906810 168337037 183640404 229550505 306067340 325813620 336674074 459101010 505011111 673348148 841685185 918202020 1010022222 1683370370 2020044444 2525055555 3366740740 5050111110 10100222220