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219231330100 = 225223991110069
BaseRepresentation
bin1100110000101100110…
…1001001111100110100
3202221212121102110212121
43030023031021330310
512042441210030400
6244414040125324
721560520362536
oct3141315117464
9687777373777
10219231330100
1184a80409142
12365a4166844
131789a693443
14a87a275856
155a819a621a
hex330b349f34

219231330100 has 72 divisors (see below), whose sum is σ = 478294387200. Its totient is φ = 87221097600.

The previous prime is 219231330077. The next prime is 219231330151. The reversal of 219231330100 is 1033132912.

219231330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 21767866 + ... + 21777934.

It is an arithmetic number, because the mean of its divisors is an integer number (6642977600).

Almost surely, 2219231330100 is an apocalyptic number.

219231330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219231330100 is an abundant number, since it is smaller than the sum of its proper divisors (259063057100).

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

219231330100 is a wasteful number, since it uses less digits than its factorization.

219231330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 219231330100 in words is "two hundred nineteen billion, two hundred thirty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 911 956 1195 1822 2390 3644 4555 4780 5975 9110 10069 11950 18220 20138 22775 23900 40276 45550 50345 91100 100690 201380 217729 251725 435458 503450 870916 1006900 1088645 2177290 2406491 4354580 4812982 5443225 9172859 9625964 10886450 12032455 18345718 21772900 24064910 36691436 45864295 48129820 60162275 91728590 120324550 183457180 229321475 240649100 458642950 917285900 2192313301 4384626602 8769253204 10961566505 21923133010 43846266020 54807832525 109615665050 219231330100