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122931140 = 225191013203
BaseRepresentation
bin1110101001111…
…00011111000100
322120022112211012
413110330133010
5222432244030
620110501352
73021616553
oct724743704
9276275735
10122931140
1163433a92
1235204858
131c612127
141247dd9a
15abd4095
hex753c7c4

122931140 has 48 divisors (see below), whose sum is σ = 274518720. Its totient is φ = 46108800.

The previous prime is 122931103. The next prime is 122931143. The reversal of 122931140 is 41139221.

122931140 = T1561 + T1562 + ... + T1655.

It is a super-2 number, since 2×1229311402 = 30224130363399200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122931143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36779 + ... + 39981.

It is an arithmetic number, because the mean of its divisors is an integer number (5719140).

Almost surely, 2122931140 is an apocalyptic number.

122931140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122931140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137259360).

122931140 is an abundant number, since it is smaller than the sum of its proper divisors (151587580).

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

122931140 is a wasteful number, since it uses less digits than its factorization.

122931140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 122931140 is about 11087.4316232390. The cubic root of 122931140 is about 497.2261600808.

The spelling of 122931140 in words is "one hundred twenty-two million, nine hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3203 3838 6406 7676 9595 12812 16015 19190 32030 38380 60857 64060 121714 243428 304285 323503 608570 647006 1217140 1294012 1617515 3235030 6146557 6470060 12293114 24586228 30732785 61465570 122931140