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100201331230 = 257111354118503
BaseRepresentation
bin101110101010001110…
…1101111101000011110
3100120122012111000202221
41131110131233220132
53120203020044410
6114010514135554
710145040156010
oct1352435575036
9316565430687
10100201331230
113954a048250
12175052815ba
1395ab441950
144bc7aac1b0
152916c584da
hex175476fa1e

100201331230 has 128 divisors (see below), whose sum is σ = 242625632256. Its totient is φ = 28774310400.

The previous prime is 100201331227. The next prime is 100201331233. The reversal of 100201331230 is 32133102001.

100201331230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100201331227) and next prime (100201331233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201331233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5406159 + ... + 5424661.

It is an arithmetic number, because the mean of its divisors is an integer number (1895512752).

Almost surely, 2100201331230 is an apocalyptic number.

100201331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201331230 is an abundant number, since it is smaller than the sum of its proper divisors (142424301026).

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

100201331230 is a wasteful number, since it uses less digits than its factorization.

100201331230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100201331230 its reverse (32133102001), we get a palindrome (132334433231).

The spelling of 100201331230 in words is "one hundred billion, two hundred one million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 541 715 770 910 1001 1082 1430 2002 2705 3787 5005 5410 5951 7033 7574 10010 11902 14066 18503 18935 29755 35165 37006 37870 41657 49231 59510 70330 77363 83314 92515 98462 129521 154726 185030 203533 208285 240539 246155 259042 386815 407066 416570 481078 492310 541541 647605 773630 1017665 1083082 1202695 1295210 1424731 1683773 2035330 2405390 2645929 2707705 2849462 3367546 5291858 5415410 7123655 8418865 10010123 13229645 14247310 16837730 18521503 20020246 26459290 37043006 50050615 70070861 92607515 100101230 110111353 130131599 140141722 185215030 220222706 260263198 350354305 550556765 650657995 700708610 770779471 910921193 1101113530 1301315990 1431447589 1541558942 1821842386 2862895178 3853897355 4554605965 7157237945 7707794710 9109211930 10020133123 14314475890 20040266246 50100665615 100201331230