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10222000120 = 2351106923087
BaseRepresentation
bin10011000010100011…
…10101011111111000
3222101101111102001001
421201101311133320
5131413313000440
64410152534344
7511211365423
oct114121653770
928341442031
1010222000120
114376063a92
121b933b13b4
13c6b9a83a7
146cd8309ba
153ec610b9a
hex2614757f8

10222000120 has 32 divisors (see below), whose sum is σ = 23002574400. Its totient is φ = 4088253568.

The previous prime is 10222000111. The next prime is 10222000123. The reversal of 10222000120 is 2100022201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10222000097 and 10222000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222000123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431217 + ... + 454303.

It is an arithmetic number, because the mean of its divisors is an integer number (718830450).

Almost surely, 210222000120 is an apocalyptic number.

10222000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222000120 is an abundant number, since it is smaller than the sum of its proper divisors (12780574280).

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

10222000120 is a wasteful number, since it uses less digits than its factorization.

10222000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34167 (or 34163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10222000120 its reverse (2100022201), we get a palindrome (12322022321).

The spelling of 10222000120 in words is "ten billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 11069 22138 23087 44276 46174 55345 88552 92348 110690 115435 184696 221380 230870 442760 461740 923480 255550003 511100006 1022200012 1277750015 2044400024 2555500030 5111000060 10222000120