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132531122130 = 23511253688867
BaseRepresentation
bin111101101101101111…
…0000110111111010010
3110200002022200120102220
41323123132012333102
54132410431402010
6140514533521510
712401146644111
oct1733336067722
9420068616386
10132531122130
115122a3aa700
12218284a3296
13c6613ac934
1465b36dbc78
1536aa18a970
hex1edb786fd2

132531122130 has 96 divisors (see below), whose sum is σ = 356216398272. Its totient is φ = 31522508160.

The previous prime is 132531122063. The next prime is 132531122131. The reversal of 132531122130 is 31221135231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132531122130.

It is not an unprimeable number, because it can be changed into a prime (132531122131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152044 + ... + 536823.

It is an arithmetic number, because the mean of its divisors is an integer number (3710587482).

Almost surely, 2132531122130 is an apocalyptic number.

132531122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132531122130 is an abundant number, since it is smaller than the sum of its proper divisors (223685276142).

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

132531122130 is a wasteful number, since it uses less digits than its factorization.

132531122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688952 (or 688941 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 132531122130 its reverse (31221135231), we get a palindrome (163752257361).

The spelling of 132531122130 in words is "one hundred thirty-two billion, five hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 121 159 165 242 265 318 330 363 530 583 605 726 795 1166 1210 1590 1749 1815 2915 3498 3630 5830 6413 8745 12826 17490 19239 32065 38478 64130 96195 192390 688867 1377734 2066601 3444335 4133202 6888670 7577537 10333005 15155074 20666010 22732611 36509951 37887685 45465222 73019902 75775370 83352907 109529853 113663055 166705814 182549755 219059706 227326110 250058721 365099510 401609461 416764535 500117442 547649265 803218922 833529070 1095298530 1204828383 1250293605 2008047305 2409656766 2500587210 4016094610 4417704071 6024141915 8835408142 12048283830 13253112213 22088520355 26506224426 44177040710 66265561065 132531122130