Search a number
-
+
101332022132100 = 223522314685800309
BaseRepresentation
bin10111000010100100110011…
…001011101111110110000100
3111021210020122211221211122110
4113002210303023233312010
5101240210440131211400
6555303142135501020
730225665654353434
oct2702446313576604
9437706584854573
10101332022132100
112a31873a856151
12b4469a9227770
13447075152b536
141b046d31c22c4
15baad29b03e50
hex5c29332efd84

101332022132100 has 72 divisors (see below), whose sum is σ = 305934592057920. Its totient is φ = 25847008542080.

The previous prime is 101332022132069. The next prime is 101332022132119. The reversal of 101332022132100 is 1231220233101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7342893255 + ... + 7342907054.

It is an arithmetic number, because the mean of its divisors is an integer number (4249091556360).

Almost surely, 2101332022132100 is an apocalyptic number.

101332022132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332022132100 is an abundant number, since it is smaller than the sum of its proper divisors (204602569925820).

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

101332022132100 is a wasteful number, since it uses less digits than its factorization.

101332022132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685800349 (or 14685800342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101332022132100 its reverse (1231220233101), we get a palindrome (102563242365201).

The spelling of 101332022132100 in words is "one hundred one trillion, three hundred thirty-two billion, twenty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 14685800309 29371600618 44057400927 58743201236 73429001545 88114801854 146858003090 176229603708 220287004635 293716006180 337773407107 367145007725 440574009270 675546814214 734290015450 881148018540 1013320221321 1101435023175 1351093628428 1468580030900 1688867035535 2026640442642 2202870046350 3377734071070 4053280885284 4405740092700 5066601106605 6755468142140 8444335177675 10133202213210 16888670355350 20266404426420 25333005533025 33777340710700 50666011066050 101332022132100