Search a number
-
+
132114134342300 = 225211196321250447
BaseRepresentation
bin11110000010100000111000…
…000011000001101010011100
3122022202222200011202110112212
4132002200320003001222130
5114304024221342423200
61144552221230015552
736553634260131215
oct3602407003015234
9568688604673485
10132114134342300
113910632069a740
12129987303475b8
135894403a13c36
14248a502d5640c
1510418d25ce035
hex7828380c1a9c

132114134342300 has 72 divisors (see below), whose sum is σ = 329210723331840. Its totient is φ = 45513003211200.

The previous prime is 132114134342291. The next prime is 132114134342347. The reversal of 132114134342300 is 3243431411231.

It is a congruent number.

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, 3160604324 + ... + 3160646123.

Almost surely, 2132114134342300 is an apocalyptic number.

132114134342300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114134342300 is an abundant number, since it is smaller than the sum of its proper divisors (197096588989540).

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

132114134342300 is a wasteful number, since it uses less digits than its factorization.

132114134342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321250491 (or 6321250484 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 132114134342300 its reverse (3243431411231), we get a palindrome (135357565753531).

The spelling of 132114134342300 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 6321250447 12642500894 25285001788 31606252235 63212504470 69533754917 120103758493 126425008940 139067509834 158031261175 240207516986 278135019668 316062522350 347668774585 480415033972 600518792465 632125044700 695337549170 1201037584930 1321141343423 1390675098340 1738343872925 2402075169860 2642282686846 3002593962325 3476687745850 5284565373692 6005187924650 6605706717115 6953375491700 12010375849300 13211413434230 26422826868460 33028533585575 66057067171150 132114134342300