Search a number
-
+
232030013320100 = 225223574117572307
BaseRepresentation
bin110100110000011110110010…
…100001010110101110100100
31010102112212000120112022010202
4310300132302201112232210
5220403034431402220400
62141253041103210032
766605421014356052
oct6460366241265644
91112485016468122
10232030013320100
1167a28415566866
1222034b79ba6918
139c6144b00c3a8
1441424539751d2
151bc5976c014d5
hexd307b2856ba4

232030013320100 has 72 divisors (see below), whose sum is σ = 525488202727488. Its totient is φ = 88761232067200.

The previous prime is 232030013320081. The next prime is 232030013320109. The reversal of 232030013320100 is 1023310030232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (232030013320109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4418147 + ... + 21990453.

It is an arithmetic number, because the mean of its divisors is an integer number (7298447260104).

Almost surely, 2232030013320100 is an apocalyptic number.

232030013320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232030013320100 is an abundant number, since it is smaller than the sum of its proper divisors (293458189407388).

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

232030013320100 is a wasteful number, since it uses less digits than its factorization.

232030013320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17578085 (or 17578078 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 232030013320100 its reverse (1023310030232), we get a palindrome (233053323350332).

The spelling of 232030013320100 in words is "two hundred thirty-two trillion, thirty billion, thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 5741 11482 22964 28705 57410 114820 132043 143525 264086 287050 528172 574100 660215 1320430 2640860 3301075 6602150 13204300 17572307 35144614 70289228 87861535 175723070 351446140 404163061 439307675 808326122 878615350 1616652244 1757230700 2020815305 4041630610 8083261220 10104076525 20208153050 40416306100 100882614487 201765228974 403530457948 504413072435 1008826144870 2017652289740 2320300133201 2522065362175 4640600266402 5044130724350 9281200532804 10088261448700 11601500666005 23203001332010 46406002664020 58007503330025 116015006660050 232030013320100