Search a number
-
+
100432342010 = 257111311638627
BaseRepresentation
bin101110110001000111…
…0111110101111111010
3100121020022011120222202
41131202032332233322
53121141134421020
6114045445350202
710153543551560
oct1354216765772
9317208146882
10100432342010
1139658491050
121756a708362
139617266010
144c0a643a30
15292c18ae75
hex17623bebfa

100432342010 has 128 divisors (see below), whose sum is σ = 242960062464. Its totient is φ = 28867426560.

The previous prime is 100432341973. The next prime is 100432342019. The reversal of 100432342010 is 10243234001.

It is a super-2 number, since 2×1004323420102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100432342019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11637317 + ... + 11645943.

It is an arithmetic number, because the mean of its divisors is an integer number (1898125488).

Almost surely, 2100432342010 is an apocalyptic number.

100432342010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100432342010 is an abundant number, since it is smaller than the sum of its proper divisors (142527720454).

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

100432342010 is a wasteful number, since it uses less digits than its factorization.

100432342010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100432342010 its reverse (10243234001), we get a palindrome (110675576011).

The spelling of 100432342010 in words is "one hundred billion, four hundred thirty-two million, three hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1163 1430 2002 2326 5005 5815 8141 8627 10010 11630 12793 15119 16282 17254 25586 30238 40705 43135 60389 63965 75595 81410 86270 89551 94897 105833 112151 120778 127930 151190 166309 179102 189794 211666 224302 301945 332618 447755 474485 529165 560755 603890 664279 785057 831545 895510 948970 1058330 1121510 1164163 1233661 1328558 1570114 1663090 2328326 2467322 3321395 3925285 5820815 6168305 6642790 7850570 8635627 10033201 11641630 12336610 17271254 20066402 43178135 50166005 70232407 86356270 100332010 110365211 130431613 140464814 220730422 260863226 351162035 551826055 652158065 702324070 772556477 913021291 1103652110 1304316130 1434747743 1545112954 1826042582 2869495486 3862782385 4565106455 7173738715 7725564770 9130212910 10043234201 14347477430 20086468402 50216171005 100432342010