Search a number
-
+
3133100832 = 253269312119
BaseRepresentation
bin1011101010111111…
…0101001100100000
322002100111000100120
42322233311030200
522404033211312
61234521120240
7140432626521
oct27257651440
98070430316
103133100832
111368610034
12735329080
133ac147524
1421a172848
151350d628c
hexbabf5320

3133100832 has 48 divisors (see below), whose sum is σ = 8228122560. Its totient is φ = 1043892992.

The previous prime is 3133100821. The next prime is 3133100843. The reversal of 3133100832 is 2380013313.

It is an interprime number because it is at equal distance from previous prime (3133100821) and next prime (3133100843).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252469 + ... + 264587.

It is an arithmetic number, because the mean of its divisors is an integer number (171419220).

Almost surely, 23133100832 is an apocalyptic number.

3133100832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3133100832 is an abundant number, since it is smaller than the sum of its proper divisors (5095021728).

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

3133100832 is a wasteful number, since it uses less digits than its factorization.

3133100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3133100832 is about 55974.1085860239. The cubic root of 3133100832 is about 1463.2710844791.

The spelling of 3133100832 in words is "three billion, one hundred thirty-three million, one hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2693 5386 8079 10772 12119 16158 21544 24238 32316 36357 43088 48476 64632 72714 86176 96952 129264 145428 193904 258528 290856 387808 581712 1163424 32636467 65272934 97909401 130545868 195818802 261091736 391637604 522183472 783275208 1044366944 1566550416 3133100832