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233130011100 = 223527293828079
BaseRepresentation
bin1101100100011110100…
…0011010100111011100
3211021202020020121220120
43121013220122213130
512304422240323400
6255033133114540
722562115253440
oct3310750324734
9737666217816
10233130011100
118a9628a4968
1239222928a50
1318ca3cb933c
14b3d80d6820
1560e6c73ca0
hex3647a1a9dc

233130011100 has 144 divisors (see below), whose sum is σ = 797465625600. Its totient is φ = 51449368320.

The previous prime is 233130011099. The next prime is 233130011111. The reversal of 233130011100 is 1110031332.

It is a super-2 number, since 2×2331300111002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233130011100.

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, 1853140 + ... + 1974939.

Almost surely, 2233130011100 is an apocalyptic number.

233130011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130011100 is an abundant number, since it is smaller than the sum of its proper divisors (564335614500).

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

233130011100 is a wasteful number, since it uses less digits than its factorization.

233130011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828132 (or 3828125 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 233130011100 its reverse (1110031332), we get a palindrome (234240042432).

The spelling of 233130011100 in words is "two hundred thirty-three billion, one hundred thirty million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 3828079 7656158 11484237 15312316 19140395 22968474 26796553 38280790 45936948 53593106 57421185 76561580 80389659 95701975 107186212 111014291 114842370 133982765 160779318 191403950 222028582 229684740 267965530 287105925 321558636 333042873 382807900 401948295 444057164 535931060 555071455 574211850 666085746 669913825 777100037 803896590 1110142910 1148423700 1332171492 1339827650 1554200074 1607793180 1665214365 2009741475 2220285820 2331300111 2679655300 2775357275 3108400148 3330428730 3885500185 4019482950 4662600222 5550714550 6660857460 7771000370 8038965900 8326071825 9325200444 11101429100 11656500555 15542000740 16652143650 19427500925 23313001110 33304287300 38855001850 46626002220 58282502775 77710003700 116565005550 233130011100