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102212021212220 = 22573318122008247
BaseRepresentation
bin10111001111011000010111…
…001101110101010000111100
3111101220101002111110220210102
4113033120113031311100330
5101344120204412242340
61001215315422100232
730346401112206263
oct2717302715652074
9441811074426712
10102212021212220
112a627969348897
12b56945b11a678
13450572437a0ba
141b351341235da
15bc3b81282215
hex5cf61737543c

102212021212220 has 48 divisors (see below), whose sum is σ = 217654001882688. Its totient is φ = 40312064033280.

The previous prime is 102212021212127. The next prime is 102212021212241. The reversal of 102212021212220 is 22212120212201.

It is a super-2 number, since 2×1022120212122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102212021212192 and 102212021212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6359864 + ... + 15648383.

It is an arithmetic number, because the mean of its divisors is an integer number (4534458372556).

Almost surely, 2102212021212220 is an apocalyptic number.

102212021212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212021212220 is an abundant number, since it is smaller than the sum of its proper divisors (115441980670468).

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

102212021212220 is a wasteful number, since it uses less digits than its factorization.

102212021212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22011510 (or 22011508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102212021212220 its reverse (22212120212201), we get a palindrome (124424141424421).

The spelling of 102212021212220 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 3181 6362 12724 15905 31810 63620 232213 464426 928852 1161065 2322130 4644260 22008247 44016494 88032988 110041235 220082470 440164940 1606602031 3213204062 6426408124 8033010155 16066020310 32132040620 70008233707 140016467414 280032934828 350041168535 700082337070 1400164674140 5110601060611 10221202121222 20442404242444 25553005303055 51106010606110 102212021212220