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10122112000220 = 2251156518141851
BaseRepresentation
bin1001001101001011110011…
…1000111110000011011100
31022211122221101111120222012
42103102330320332003130
52311320041133001340
633310011205010352
72063204241253613
oct223227470760334
938748841446865
1010122112000220
113252844383170
1211758969b39b8
13585684a7285c
1426dcacb6687a
15128475531565
hex934bce3e0dc

10122112000220 has 48 divisors (see below), whose sum is σ = 23192944742016. Its totient is φ = 3680116200000.

The previous prime is 10122112000181. The next prime is 10122112000241. The reversal of 10122112000220 is 2200021122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122112000195 and 10122112000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827706 + ... + 5314145.

It is an arithmetic number, because the mean of its divisors is an integer number (483186348792).

Almost surely, 210122112000220 is an apocalyptic number.

10122112000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122112000220 is an abundant number, since it is smaller than the sum of its proper divisors (13070832741796).

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

10122112000220 is a wasteful number, since it uses less digits than its factorization.

10122112000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147522 (or 8147520 counting only the distinct ones).

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

Adding to 10122112000220 its reverse (2200021122101), we get a palindrome (12322133122321).

The spelling of 10122112000220 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 5651 11302 22604 28255 56510 62161 113020 124322 248644 310805 621610 1243220 8141851 16283702 32567404 40709255 81418510 89560361 162837020 179120722 358241444 447801805 895603610 1791207220 46009600001 92019200002 184038400004 230048000005 460096000010 506105600011 920192000020 1012211200022 2024422400044 2530528000055 5061056000110 10122112000220