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10012211220 = 22351115170017
BaseRepresentation
bin10010101001100011…
…00011100000010100
3221211202202000202210
421110301203200110
5131001111224340
64333300233420
7503053251114
oct112461434024
927752660683
1010012211220
1142786a5530
121b3509b870
13c373a464b
146ada21044
153d8ec1180
hex254c63814

10012211220 has 48 divisors (see below), whose sum is σ = 30582756288. Its totient is φ = 2427202560.

The previous prime is 10012211219. The next prime is 10012211221. The reversal of 10012211220 is 2211221001.

It is an interprime number because it is at equal distance from previous prime (10012211219) and next prime (10012211221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012211196 and 10012211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7584349 + ... + 7585668.

It is an arithmetic number, because the mean of its divisors is an integer number (637140756).

Almost surely, 210012211220 is an apocalyptic number.

10012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012211220 is an abundant number, since it is smaller than the sum of its proper divisors (20570545068).

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

10012211220 is a wasteful number, since it uses less digits than its factorization.

10012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170040 (or 15170038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012211220 its reverse (2211221001), we get a palindrome (12223432221).

The spelling of 10012211220 in words is "ten billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15170017 30340034 45510051 60680068 75850085 91020102 151700170 166870187 182040204 227550255 303400340 333740374 455100510 500610561 667480748 834350935 910201020 1001221122 1668701870 2002442244 2503052805 3337403740 5006105610 10012211220