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10011122002220 = 2252111255192951
BaseRepresentation
bin1001000110101110010101…
…0111101110100100101100
31022110001110022020111122112
42101223211113232210230
52303010234213032340
633143013532103152
72052164635660613
oct221534527564454
938401408214575
1010011122002220
11320a769420999
121158280604ab8
1357807742b221
142687802ba87a
1512562b581065
hex91ae55ee92c

10011122002220 has 48 divisors (see below), whose sum is σ = 21041786658816. Its totient is φ = 4000939800000.

The previous prime is 10011122002183. The next prime is 10011122002223. The reversal of 10011122002220 is 2220022111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011122002195 and 10011122002204.

It is not an unprimeable number, because it can be changed into a prime (10011122002223) by changing a digit.

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, 107656745 + ... + 107749695.

It is an arithmetic number, because the mean of its divisors is an integer number (438370555392).

Almost surely, 210011122002220 is an apocalyptic number.

10011122002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122002220 is an abundant number, since it is smaller than the sum of its proper divisors (11030664656596).

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

10011122002220 is a wasteful number, since it uses less digits than its factorization.

10011122002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97622 (or 97620 counting only the distinct ones).

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

Adding to 10011122002220 its reverse (2220022111001), we get a palindrome (12231144113221).

The spelling of 10011122002220 in words is "ten trillion, eleven billion, one hundred twenty-two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2111 2551 4222 5102 8444 10204 10555 12755 21110 25510 42220 51020 92951 185902 371804 464755 929510 1859020 5385161 10770322 21540644 26925805 53851610 107703220 196219561 237118001 392439122 474236002 784878244 948472004 981097805 1185590005 1962195610 2371180010 3924391220 4742360020 500556100111 1001112200222 2002224400444 2502780500555 5005561001110 10011122002220