Search a number
-
+
3131038100 = 225232519631
BaseRepresentation
bin1011101010011111…
…1101100110010100
322002012121012211002
42322213331212110
522403021204400
61234405002432
7140406245651
oct27247754624
98065535732
103131038100
1113674312a3
127346b3418
133ab8a4688
14219b96c28
15134d29ed5
hexba9fd994

3131038100 has 36 divisors (see below), whose sum is σ = 6797148288. Its totient is φ = 1251900000.

The previous prime is 3131038081. The next prime is 3131038117. The reversal of 3131038100 is 18301313.

It is a happy number.

It is a super-2 number, since 2×31310381002 = 19606799167303220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320285 + ... + 329915.

Almost surely, 23131038100 is an apocalyptic number.

It is an amenable number.

3131038100 is an abundant number, since it is smaller than the sum of its proper divisors (3666110188).

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

3131038100 is a wasteful number, since it uses less digits than its factorization.

3131038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3131038100 is about 55955.6797831998. The cubic root of 3131038100 is about 1462.9498905686.

Adding to 3131038100 its reverse (18301313), we get a palindrome (3149339413).

The spelling of 3131038100 in words is "three billion, one hundred thirty-one million, thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3251 6502 9631 13004 16255 19262 32510 38524 48155 65020 81275 96310 162550 192620 240775 325100 481550 963100 31310381 62620762 125241524 156551905 313103810 626207620 782759525 1565519050 3131038100