Search a number
-
+
102331420433100 = 223252647175736597
BaseRepresentation
bin10111010001000111100011…
…111101101101101011001100
3111102022210021122011210021100
4113101013203331231223030
5101403044222112324400
61001350223333503100
730361125664636125
oct2721074375555314
9442283248153240
10102331420433100
112a67356a072741
12b5886217a1a90
134513a71c55061
141b3ac1d75d04c
15bc6d1d614100
hex5d11e3f6dacc

102331420433100 has 108 divisors (see below), whose sum is σ = 321247907036784. Its totient is φ = 27246201843840.

The previous prime is 102331420433087. The next prime is 102331420433101. The reversal of 102331420433100 is 1334024133201.

It is a happy number.

102331420433100 is a `hidden beast` number, since 1 + 0 + 233 + 1 + 420 + 4 + 3 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1023314204331002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102331420433101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87285999 + ... + 88450598.

It is an arithmetic number, because the mean of its divisors is an integer number (2974517657748).

Almost surely, 2102331420433100 is an apocalyptic number.

102331420433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102331420433100 is an abundant number, since it is smaller than the sum of its proper divisors (218916486603684).

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

102331420433100 is a wasteful number, since it uses less digits than its factorization.

102331420433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175737264 (or 175737254 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102331420433100 its reverse (1334024133201), we get a palindrome (103665444566301).

The spelling of 102331420433100 in words is "one hundred two trillion, three hundred thirty-one billion, four hundred twenty million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 647 900 1294 1941 2588 3235 3882 5823 6470 7764 9705 11646 12940 16175 19410 23292 29115 32350 38820 48525 58230 64700 97050 116460 145575 194100 291150 582300 175736597 351473194 527209791 702946388 878682985 1054419582 1581629373 1757365970 2108839164 2636048955 3163258746 3514731940 4393414925 5272097910 6326517492 7908146865 8786829850 10544195820 13180244775 15816293730 17573659700 26360489550 31632587460 39540734325 52720979100 79081468650 113701578259 158162937300 227403156518 341104734777 454806313036 568507891295 682209469554 1023314204331 1137015782590 1364418939108 1705523673885 2046628408662 2274031565180 2842539456475 3411047347770 4093256817324 5116571021655 5685078912950 6822094695540 8527618369425 10233142043310 11370157825900 17055236738850 20466284086620 25582855108275 34110473477700 51165710216550 102331420433100