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101233132 = 2271113131193
BaseRepresentation
bin1100000100010…
…11000111101100
321001111011202021
412002023013230
5201403430012
614013435524
72336316220
oct602130754
9231434667
10101233132
1152163a50
1229a9bba4
1317c85b80
14d632780
158d4a007
hex608b1ec

101233132 has 96 divisors (see below), whose sum is σ = 240920064. Its totient is φ = 35942400.

The previous prime is 101233123. The next prime is 101233157. The reversal of 101233132 is 231332101.

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, 524428 + ... + 524620.

It is an arithmetic number, because the mean of its divisors is an integer number (2509584).

Almost surely, 2101233132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120460032).

101233132 is an abundant number, since it is smaller than the sum of its proper divisors (139686932).

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

101233132 is a wasteful number, since it uses less digits than its factorization.

101233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 101233132 is about 10061.4676861778. The cubic root of 101233132 is about 466.0589915924.

Adding to 101233132 its reverse (231332101), we get a palindrome (332565233).

The spelling of 101233132 in words is "one hundred one million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 131 143 154 182 193 262 286 308 364 386 524 572 772 917 1001 1351 1441 1703 1834 2002 2123 2509 2702 2882 3406 3668 4004 4246 5018 5404 5764 6812 8492 10036 10087 11921 14861 17563 18733 20174 23842 25283 27599 29722 35126 37466 40348 47684 50566 55198 59444 70252 74932 101132 110396 131131 176981 193193 262262 278113 328679 353962 386386 524524 556226 657358 707924 772772 1112452 1314716 1946791 2300753 3615469 3893582 4601506 7230938 7787164 9203012 14461876 25308283 50616566 101233132