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10211232120 = 233585093601
BaseRepresentation
bin10011000001010001…
…10000100101111000
3222100122020100010020
421200220300211320
5131403033411440
64405130050440
7511021020015
oct114050604570
928318210106
1010211232120
11436aa79911
121b8b879a20
13c696a80ab
146cc22a70c
153eb6d53d0
hex260a30978

10211232120 has 32 divisors (see below), whose sum is σ = 30633696720. Its totient is φ = 2722995200.

The previous prime is 10211232113. The next prime is 10211232127. The reversal of 10211232120 is 2123211201.

It is an interprime number because it is at equal distance from previous prime (10211232113) and next prime (10211232127).

It is a super-2 number, since 2×102112321202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211232127) 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 7 ways as a sum of consecutive naturals, for example, 42546681 + ... + 42546920.

Almost surely, 210211232120 is an apocalyptic number.

10211232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211232120 is an abundant number, since it is smaller than the sum of its proper divisors (20422464600).

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

10211232120 is a wasteful number, since it uses less digits than its factorization.

10211232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85093615 (or 85093611 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10211232120 its reverse (2123211201), we get a palindrome (12334443321).

The spelling of 10211232120 in words is "ten billion, two hundred eleven million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85093601 170187202 255280803 340374404 425468005 510561606 680748808 850936010 1021123212 1276404015 1701872020 2042246424 2552808030 3403744040 5105616060 10211232120