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132121100 = 22522921571
BaseRepresentation
bin1111110000000…
…00001000001100
3100012121110002002
413320000020030
5232310333400
621035451432
73163003466
oct770001014
9305543062
10132121100
11686405a1
12382b6b78
13214ac087
1413793136
15b8ebed5
hex7e0020c

132121100 has 54 divisors (see below), whose sum is σ = 297119004. Its totient is φ = 50993600.

The previous prime is 132121091. The next prime is 132121109. The reversal of 132121100 is 1121231.

It is an interprime number because it is at equal distance from previous prime (132121091) and next prime (132121109).

It is not an unprimeable number, because it can be changed into a prime (132121109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83315 + ... + 84885.

Almost surely, 2132121100 is an apocalyptic number.

132121100 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 132121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148559502).

132121100 is an abundant number, since it is smaller than the sum of its proper divisors (164997904).

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

132121100 is a wasteful number, since it uses less digits than its factorization.

132121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 132121100 is about 11494.3942859117. The cubic root of 132121100 is about 509.3199959426.

Adding to 132121100 its reverse (1121231), we get a palindrome (133242331).

The spelling of 132121100 in words is "one hundred thirty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1450 1571 1682 2900 3142 3364 4205 6284 7855 8410 15710 16820 21025 31420 39275 42050 45559 78550 84100 91118 157100 182236 227795 455590 911180 1138975 1321211 2277950 2642422 4555900 5284844 6606055 13212110 26424220 33030275 66060550 132121100