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231301982100 = 223527602918269
BaseRepresentation
bin1101011101101010101…
…1000010011110010100
3211010000211111010112210
43113122223002132110
512242201301411400
6254131512113420
722465610260020
oct3273253023624
9733024433483
10231301982100
118a104a366a2
12389b2695870
1318a72364487
14b2a3405380
15603b530950
hex35daac2794

231301982100 has 144 divisors (see below), whose sum is σ = 765007286400. Its totient is φ = 52857361920.

The previous prime is 231301982057. The next prime is 231301982111. The reversal of 231301982100 is 1289103132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12651766 + ... + 12670034.

It is an arithmetic number, because the mean of its divisors is an integer number (5312550600).

Almost surely, 2231301982100 is an apocalyptic number.

231301982100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382503643200).

231301982100 is an abundant number, since it is smaller than the sum of its proper divisors (533705304300).

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

231301982100 is a wasteful number, since it uses less digits than its factorization.

231301982100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24322 (or 24315 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 231301982100 in words is "two hundred thirty-one billion, three hundred one million, nine hundred eighty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6029 12058 18087 18269 24116 30145 36174 36538 42203 54807 60290 72348 73076 84406 90435 91345 109614 120580 126609 127883 150725 168812 180870 182690 211015 219228 253218 255766 274035 301450 361740 365380 383649 422030 452175 456725 506436 511532 548070 602900 633045 639415 767298 844060 904350 913450 1055075 1096140 1266090 1278830 1370175 1534596 1808700 1826900 1918245 2110150 2532180 2557660 2740350 3165225 3197075 3836490 4220300 5480700 6330450 6394150 7672980 9591225 12660900 12788300 19182450 38364900 110143801 220287602 330431403 440575204 550719005 660862806 771006607 1101438010 1321725612 1542013214 1652157015 2202876020 2313019821 2753595025 3084026428 3304314030 3855033035 4626039642 5507190050 6608628060 7710066070 8260785075 9252079284 11014380100 11565099105 15420132140 16521570150 19275165175 23130198210 33043140300 38550330350 46260396420 57825495525 77100660700 115650991050 231301982100