Search a number
-
+
132114001113220 = 22574380927127129
BaseRepresentation
bin11110000010100000110000…
…000110110011000010000100
3122022202222022220001201121111
4132002200300012303002010
5114304023433241110340
61144552200110254404
736553631051531230
oct3602406006630204
9568688286051544
10132114001113220
1139106262472765
12129986b37b7404
1358943b2237769
14248a4cd3955c0
1510418c5a63aea
hex7828301b3084

132114001113220 has 96 divisors (see below), whose sum is σ = 324848466835200. Its totient is φ = 44188138358784.

The previous prime is 132114001113203. The next prime is 132114001113221. The reversal of 132114001113220 is 22311100411231.

It is a junction number, because it is equal to n+sod(n) for n = 132114001113191 and 132114001113200.

It is not an unprimeable number, because it can be changed into a prime (132114001113221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8693385 + ... + 18433744.

It is an arithmetic number, because the mean of its divisors is an integer number (3383838196200).

Almost surely, 2132114001113220 is an apocalyptic number.

132114001113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114001113220 is an abundant number, since it is smaller than the sum of its proper divisors (192734465721980).

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

132114001113220 is a wasteful number, since it uses less digits than its factorization.

132114001113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127997 (or 27127995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 132114001113220 its reverse (22311100411231), we get a palindrome (154425101524451).

The spelling of 132114001113220 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 809 860 1204 1505 1618 3010 3236 4045 5663 6020 8090 11326 16180 22652 28315 34787 56630 69574 113260 139148 173935 243509 347870 487018 695740 974036 1217545 2435090 4870180 27127129 54254258 108508516 135635645 189889903 271271290 379779806 542542580 759559612 949449515 1166466547 1898899030 2332933094 3797798060 4665866188 5832332735 8165265829 11664665470 16330531658 21945847361 23329330940 32661063316 40826329145 43891694722 81652658290 87783389444 109729236805 153620931527 163305316580 219458473610 307241863054 438916947220 614483726108 768104657635 943671436523 1536209315270 1887342873046 3072418630540 3774685746092 4718357182615 6605700055661 9436714365230 13211400111322 18873428730460 26422800222644 33028500278305 66057000556610 132114001113220