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131003032132 = 227219477310253
BaseRepresentation
bin111101000000001100…
…0111010001001000100
3110112010211022120001001
41322000120322021010
54121243234012012
6140103145343044
712315243254200
oct1720030721104
9415124276031
10131003032132
1150615884005
1221480797a84
13c479933b7b
1464aa7a5b00
15361ae43357
hex1e8063a244

131003032132 has 144 divisors (see below), whose sum is σ = 290649219840. Its totient is φ = 51339391488.

The previous prime is 131003032129. The next prime is 131003032133. The reversal of 131003032132 is 231230300131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (131003032133) 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, 12771918 + ... + 12782170.

It is an arithmetic number, because the mean of its divisors is an integer number (2018397360).

Almost surely, 2131003032132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145324609920).

131003032132 is an abundant number, since it is smaller than the sum of its proper divisors (159646187708).

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

131003032132 is a wasteful number, since it uses less digits than its factorization.

131003032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131003032132 its reverse (231230300131), we get a palindrome (362233332263).

The spelling of 131003032132 in words is "one hundred thirty-one billion, three million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 47 49 73 76 94 98 133 146 188 196 266 292 329 511 532 658 893 931 1022 1316 1387 1786 1862 2044 2303 2774 3431 3572 3577 3724 4606 5548 6251 6862 7154 9212 9709 10253 12502 13724 14308 19418 20506 24017 25004 38836 41012 43757 48034 65189 67963 71771 87514 96068 130378 135926 143542 168119 175028 194807 260756 271852 287084 336238 389614 456323 481891 502397 672476 748469 779228 912646 963782 1004794 1363649 1496938 1825292 1927564 2009588 2727298 2993876 3194261 3373237 5239283 5454596 6388522 6746474 9155929 9545543 10478566 12777044 13492948 14220911 18311858 19091086 20957132 23612659 28441822 35178043 36623716 36674981 38182172 47225318 56883644 64091503 70356086 73349962 94450636 99546377 128183006 140712172 146699924 199092754 246246301 256366012 398185508 448640521 492492602 668382817 696824639 897281042 984985204 1336765634 1393649278 1723724107 1794562084 2673531268 2787298556 3447448214 4678679719 6894896428 9357359438 18714718876 32750758033 65501516066 131003032132