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102212110000220 = 225112167009252899
BaseRepresentation
bin10111001111011000011100…
…100000100010000001011100
3111101220101022200112211000212
4113033120130200202001130
5101344120400130001340
61001215332313111552
730346403240663363
oct2717303440420134
9441811280484025
10102212110000220
112a627a04481600
12b5694849b85b8
13450573989648c
141b35141c367da
15bc3b88e6ea65
hex5cf61c82205c

102212110000220 has 72 divisors (see below), whose sum is σ = 235934926794000. Its totient is φ = 37167670481920.

The previous prime is 102212110000219. The next prime is 102212110000223. The reversal of 102212110000220 is 22000011212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212110000195 and 102212110000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110000223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404035331 + ... + 404288229.

It is an arithmetic number, because the mean of its divisors is an integer number (3276873983250).

Almost surely, 2102212110000220 is an apocalyptic number.

102212110000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212110000220 is an abundant number, since it is smaller than the sum of its proper divisors (133722816793780).

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

102212110000220 is a wasteful number, since it uses less digits than its factorization.

102212110000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419939 (or 419926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212110000220 its reverse (22000011212201), we get a palindrome (124212121212421).

The spelling of 102212110000220 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 167009 252899 334018 505798 668036 835045 1011596 1264495 1670090 1837099 2528990 2781889 3340180 3674198 5057980 5563778 7348396 9185495 11127556 13909445 18370990 20208089 27818890 30600779 36741980 40416178 55637780 61201558 80832356 101040445 122403116 153003895 202080890 306007790 404161780 612015580 42236409091 84472818182 168945636364 211182045455 422364090910 464600500001 844728181820 929201000002 1858402000004 2323002500005 4646005000010 5110605500011 9292010000020 10221211000022 20442422000044 25553027500055 51106055000110 102212110000220