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132111012 = 2231117113521
BaseRepresentation
bin1111101111111…
…01101010100100
3100012120221020110
413313331222210
5232310023022
621035333020
73162632205
oct767755244
9305527213
10132111012
1168633a60
12382b1170
13214a75c7
141378d5ac
15b8e900c
hex7dfdaa4

132111012 has 96 divisors (see below), whose sum is σ = 359904384. Its totient is φ = 37273600.

The previous prime is 132110983. The next prime is 132111041. The reversal of 132111012 is 210111231.

It is an interprime number because it is at equal distance from previous prime (132110983) and next prime (132111041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253312 + ... + 253832.

It is an arithmetic number, because the mean of its divisors is an integer number (3749004).

Almost surely, 2132111012 is an apocalyptic number.

132111012 is a gapful number since it is divisible by the number (12) 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 132111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179952192).

132111012 is an abundant number, since it is smaller than the sum of its proper divisors (227793372).

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

132111012 is a wasteful number, since it uses less digits than its factorization.

132111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

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

The square root of 132111012 is about 11493.9554549337. The cubic root of 132111012 is about 509.3070327068.

Adding to 132111012 its reverse (210111231), we get a palindrome (342222243).

It can be divided in two parts, 132 and 111012, that multiplied together give a square (14653584 = 38282).

The spelling of 132111012 in words is "one hundred thirty-two million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 113 132 187 204 226 339 374 452 521 561 678 748 1042 1122 1243 1356 1563 1921 2084 2244 2486 3126 3729 3842 4972 5731 5763 6252 7458 7684 8857 11462 11526 14916 17193 17714 21131 22924 23052 26571 34386 35428 42262 53142 58873 63393 68772 84524 97427 106284 117746 126786 176619 194854 235492 253572 292281 353238 389708 584562 647603 706476 1000841 1169124 1295206 1942809 2001682 2590412 3002523 3885618 4003364 6005046 7771236 11009251 12010092 22018502 33027753 44037004 66055506 132111012