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130022404032 = 2636789113567
BaseRepresentation
bin111100100010111110…
…0000110111111000000
3110102121111002111011210
41321011330012333000
54112241213412112
6135421555210120
712252035125143
oct1710574067700
9412544074153
10130022404032
1150162291664
12212482a6940
13c35171a261
14641645c05a
1535aecdbb3c
hex1e45f06fc0

130022404032 has 112 divisors (see below), whose sum is σ = 353078369280. Its totient is φ = 42213844992.

The previous prime is 130022404009. The next prime is 130022404049. The reversal of 130022404032 is 230404220031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088113 + ... + 1201679.

It is an arithmetic number, because the mean of its divisors is an integer number (3152485440).

Almost surely, 2130022404032 is an apocalyptic number.

130022404032 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 130022404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176539184640).

130022404032 is an abundant number, since it is smaller than the sum of its proper divisors (223055965248).

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

130022404032 is a wasteful number, since it uses less digits than its factorization.

130022404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113738 (or 113728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 130022404032 its reverse (230404220031), we get a palindrome (360426624063).

The spelling of 130022404032 in words is "one hundred thirty billion, twenty-two million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 89 96 134 178 192 201 267 268 356 402 534 536 712 804 1068 1072 1424 1608 2136 2144 2848 3216 4272 4288 5696 5963 6432 8544 11926 12864 17088 17889 23852 35778 47704 71556 95408 113567 143112 190816 227134 286224 340701 381632 454268 572448 681402 908536 1144896 1362804 1817072 2725608 3634144 5451216 7268288 7608989 10107463 10902432 15217978 20214926 21804864 22826967 30322389 30435956 40429852 45653934 60644778 60871912 80859704 91307868 121289556 121743824 161719408 182615736 242579112 243487648 323438816 365231472 485158224 486975296 646877632 677200021 730462944 970316448 1354400042 1460925888 1940632896 2031600063 2708800084 4063200126 5417600168 8126400252 10835200336 16252800504 21670400672 32505601008 43340801344 65011202016 130022404032