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132211201030020 = 22335734976508209
BaseRepresentation
bin11110000011111011010001…
…101011000011011110000100
3122100010021012220212002211000
4132003323101223003132010
5114312122014430430040
61145104553130013300
736563641545303660
oct3603732153033604
9570107186762730
10132211201030020
1139143501273912
12129b34bb877230
1358a06028bb128
1424910b05ad8a0
1510441b4049130
hex783ed1ac3784

132211201030020 has 96 divisors (see below), whose sum is σ = 470084270342400. Its totient is φ = 30219703091712.

The previous prime is 132211201030009. The next prime is 132211201030061. The reversal of 132211201030020 is 20030102112231.

132211201030020 is a `hidden beast` number, since 1 + 3 + 221 + 120 + 1 + 0 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132211201029975 and 132211201030002.

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, 17488250325 + ... + 17488257884.

It is an arithmetic number, because the mean of its divisors is an integer number (4896711149400).

Almost surely, 2132211201030020 is an apocalyptic number.

132211201030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211201030020 is an abundant number, since it is smaller than the sum of its proper divisors (337873069312380).

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

132211201030020 is a wasteful number, since it uses less digits than its factorization.

132211201030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34976508234 (or 34976508226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132211201030020 its reverse (20030102112231), we get a palindrome (152241303142251).

The spelling of 132211201030020 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred one million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 34976508209 69953016418 104929524627 139906032836 174882541045 209859049254 244835557463 314788573881 349765082090 419718098508 489671114926 524647623135 629577147762 699530164180 734506672389 944365721643 979342229852 1049295246270 1224177787315 1259154295524 1469013344778 1573942869405 1888731443286 2098590492540 2203520017167 2448355574630 2938026689556 3147885738810 3672533361945 3777462886572 4407040034334 4721828608215 4896711149260 6295771477620 6610560051501 7345066723890 8814080068668 9443657216430 11017600085835 13221120103002 14690133447780 18887314432860 22035200171670 26442240206004 33052800257505 44070400343340 66105600515010 132211201030020