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231322132200 = 23352715430097
BaseRepresentation
bin1101011101101111011…
…1111001111011101000
3211010002020101212021210
43113123313321323220
512242221431212300
6254133512033120
722466243452455
oct3273367717350
9733066355253
10231322132200
118a115349775
12389b93927a0
1318a7659b003
14b2a5d6c82c
15603d1b1050
hex35dbdf9ee8

231322132200 has 96 divisors (see below), whose sum is σ = 727198724160. Its totient is φ = 60817075200.

The previous prime is 231322132157. The next prime is 231322132201. The reversal of 231322132200 is 2231223132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231322132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672449 + ... + 2757648.

It is an arithmetic number, because the mean of its divisors is an integer number (7574986710).

Almost surely, 2231322132200 is an apocalyptic number.

231322132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231322132200 is an abundant number, since it is smaller than the sum of its proper divisors (495876591960).

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

231322132200 is a wasteful number, since it uses less digits than its factorization.

231322132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430187 (or 5430178 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 231322132200 its reverse (2231223132), we get a palindrome (233553355332).

The spelling of 231322132200 in words is "two hundred thirty-one billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600 5430097 10860194 16290291 21720388 27150485 32580582 43440776 54300970 65161164 81451455 108601940 130322328 135752425 162902910 217203880 271504850 325805820 385536887 407257275 543009700 651611640 771073774 814514550 1086019400 1156610661 1542147548 1629029100 1927684435 2313221322 3084295096 3258058200 3855368870 4626442644 5783053305 7710737740 9252885288 9638422175 11566106610 15421475480 19276844350 23132213220 28915266525 38553688700 46264426440 57830533050 77107377400 115661066100 231322132200