Search a number
-
+
100180812 = 22353672351
BaseRepresentation
bin1011111100010…
…10001101001100
320222111201020110
411332022031030
5201121241222
613535120020
72324344224
oct576121514
9228451213
10100180812
1151605366
1229673010
13179a7bb4
14d43b084
158bdd30c
hex5f8a34c

100180812 has 48 divisors (see below), whose sum is σ = 241823232. Its totient is φ = 32260800.

The previous prime is 100180807. The next prime is 100180823. The reversal of 100180812 is 218081001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41437 + ... + 43787.

It is an arithmetic number, because the mean of its divisors is an integer number (5037984).

Almost surely, 2100180812 is an apocalyptic number.

100180812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100180812 is an abundant number, since it is smaller than the sum of its proper divisors (141642420).

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

100180812 is a wasteful number, since it uses less digits than its factorization.

100180812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 100180812 is about 10009.0365170680. The cubic root of 100180812 is about 464.4384665757.

It can be divided in two parts, 1001808 and 12, that added together give a triangular number (1001820 = T1415).

The spelling of 100180812 in words is "one hundred million, one hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 53 67 106 134 159 201 212 268 318 402 636 804 2351 3551 4702 7053 7102 9404 10653 14106 14204 21306 28212 42612 124603 157517 249206 315034 373809 472551 498412 630068 747618 945102 1495236 1890204 8348401 16696802 25045203 33393604 50090406 100180812