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202122211010220 = 223256118408215939
BaseRepresentation
bin101101111101010000111110…
…100101101010011010101100
3222111122200202102001110212100
4231331100332211222122230
5202443032242004311340
61553513354544335100
760400563545262114
oct5575207645523254
9874580672043770
10202122211010220
1159447603888a26
121a80477b614490
1388a2072ac5587
1437caaa5322044
1518579e11b6830
hexb7d43e96a6ac

202122211010220 has 72 divisors (see below), whose sum is σ = 623154926000880. Its totient is φ = 53015661901440.

The previous prime is 202122211010197. The next prime is 202122211010233. The reversal of 202122211010220 is 22010112221202.

It is a happy number.

202122211010220 is a `hidden beast` number, since 2 + 0 + 212 + 221 + 1 + 0 + 10 + 220 = 666.

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 = 202122211010193 and 202122211010202.

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, 9204096990 + ... + 9204118949.

It is an arithmetic number, because the mean of its divisors is an integer number (8654929527790).

Almost surely, 2202122211010220 is an apocalyptic number.

202122211010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122211010220 is an abundant number, since it is smaller than the sum of its proper divisors (421032714990660).

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

202122211010220 is a wasteful number, since it uses less digits than its factorization.

202122211010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18408216015 (or 18408216010 counting only the distinct ones).

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

Adding to 202122211010220 its reverse (22010112221202), we get a palindrome (224132323231422).

The spelling of 202122211010220 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 18408215939 36816431878 55224647817 73632863756 92041079695 110449295634 165673943451 184082159390 220898591268 276123239085 331347886902 368164318780 552246478170 662695773804 828369717255 1104492956340 1122901172279 1656739434510 2245802344558 3313478869020 3368703516837 4491604689116 5614505861395 6737407033674 10106110550511 11229011722790 13474814067348 16843517584185 20212221101022 22458023445580 33687035168370 40424442202044 50530552752555 67374070336740 101061105505110 202122211010220