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232131330200 = 235271115073463
BaseRepresentation
bin1101100000110000011…
…0110000000010011000
3211012011122001101021002
43120030012300002120
512300401110031300
6254350100004132
722525300515350
oct3301406600230
9735148041232
10232131330200
118a4a00a2150
1238ba4390648
1318b751216b3
14b34160db60
1560892535d5
hex360c1b0098

232131330200 has 96 divisors (see below), whose sum is σ = 672879432960. Its totient is φ = 72352617600.

The previous prime is 232131330157. The next prime is 232131330203. The reversal of 232131330200 is 2033131232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232131330203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7521332 + ... + 7552131.

It is an arithmetic number, because the mean of its divisors is an integer number (7009160760).

Almost surely, 2232131330200 is an apocalyptic number.

232131330200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232131330200 is an abundant number, since it is smaller than the sum of its proper divisors (440748102760).

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

232131330200 is a wasteful number, since it uses less digits than its factorization.

232131330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073497 (or 15073488 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 232131330200 its reverse (2033131232), we get a palindrome (234164461432).

The spelling of 232131330200 in words is "two hundred thirty-two billion, one hundred thirty-one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 15073463 30146926 60293852 75367315 105514241 120587704 150734630 165808093 211028482 301469260 331616186 376836575 422056964 527571205 602938520 663232372 753673150 829040465 844113928 1055142410 1160656651 1326464744 1507346300 1658080930 2110284820 2321313302 2637856025 3014692600 3316161860 4145202325 4220569640 4642626604 5275712050 5803283255 6632323720 8290404650 9285253208 10551424100 11606566510 16580809300 21102848200 23213133020 29016416275 33161618600 46426266040 58032832550 116065665100 232131330200