Search a number
-
+
100202220031232 = 281135583174727
BaseRepresentation
bin10110110010001000100101…
…101110110000110100000000
3111010210020102222222111010002
4112302020211232300310000
5101113203121311444412
6553040133035455132
730051241265064434
oct2662104556606400
9433706388874102
10100202220031232
1129a22582a39730
12b2a3a408b74a8
1343bb04b38b167
141aa5b55aa69c4
15b8b752abadc2
hex5b2225bb0d00

100202220031232 has 36 divisors (see below), whose sum is σ = 218196027432096. Its totient is φ = 45546463649280.

The previous prime is 100202220031183. The next prime is 100202220031279. The reversal of 100202220031232 is 232130022202001.

It is a happy number.

100202220031232 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17791584548 + ... + 17791590179.

Almost surely, 2100202220031232 is an apocalyptic number.

It is an amenable number.

100202220031232 is an abundant number, since it is smaller than the sum of its proper divisors (117993807400864).

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

100202220031232 is an equidigital number, since it uses as much as digits as its factorization.

100202220031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35583174754 (or 35583174740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100202220031232 its reverse (232130022202001), we get a palindrome (332332242233233).

The spelling of 100202220031232 in words is "one hundred trillion, two hundred two billion, two hundred twenty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 35583174727 71166349454 142332698908 284665397816 391414921997 569330795632 782829843994 1138661591264 1565659687988 2277323182528 3131319375976 4554646365056 6262638751952 9109292730112 12525277503904 25050555007808 50101110015616 100202220031232