Search a number
-
+
230132221031100 = 223525095115055787
BaseRepresentation
bin110100010100110111010101…
…010010010011001010111100
31010011211102111011112010120110
4310110313111102103022330
5220130441242040443400
62133241141032150020
766321334654152513
oct6424672522231274
91104742434463513
10230132221031100
1167366588268023
12219891bb238310
139b544b5788b2b
1440b865d42d67a
151b91401b9ee50
hexd14dd54932bc

230132221031100 has 72 divisors (see below), whose sum is σ = 665862338832768. Its totient is φ = 61367383736000.

The previous prime is 230132221031099. The next prime is 230132221031113. The reversal of 230132221031100 is 1130122231032.

230132221031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7757407 + ... + 22813193.

It is an arithmetic number, because the mean of its divisors is an integer number (9248088039344).

Almost surely, 2230132221031100 is an apocalyptic number.

230132221031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230132221031100 is an abundant number, since it is smaller than the sum of its proper divisors (435730117801668).

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

230132221031100 is a wasteful number, since it uses less digits than its factorization.

230132221031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15106755 (or 15106748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 230132221031100 its reverse (1130122231032), we get a palindrome (231262343262132).

The spelling of 230132221031100 in words is "two hundred thirty trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 50951 101902 152853 203804 254755 305706 509510 611412 764265 1019020 1273775 1528530 2547550 3057060 3821325 5095100 7642650 15055787 15285300 30111574 45167361 60223148 75278935 90334722 150557870 180669444 225836805 301115740 376394675 451673610 752789350 903347220 1129184025 1505578700 2258368050 4516736100 767107403437 1534214806874 2301322210311 3068429613748 3835537017185 4602644420622 7671074034370 9205288841244 11506611051555 15342148068740 19177685085925 23013222103110 38355370171850 46026444206220 57533055257775 76710740343700 115066110515550 230132221031100