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131507404220 = 225171376194561
BaseRepresentation
bin111101001111001110…
…0111011110110111100
3110120102222101022110202
41322132130323312330
54123311343413340
6140225204023032
712333606330563
oct1723634736674
9416388338422
10131507404220
1150854557245
12215a1691a78
13c52a289caa
146517778bda
15364a371c15
hex1e9e73bdbc

131507404220 has 96 divisors (see below), whose sum is σ = 295085488320. Its totient is φ = 49057136640.

The previous prime is 131507404201. The next prime is 131507404241. The reversal of 131507404220 is 22404705131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28830740 + ... + 28835300.

It is an arithmetic number, because the mean of its divisors is an integer number (3073807170).

Almost surely, 2131507404220 is an apocalyptic number.

131507404220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131507404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147542744160).

131507404220 is an abundant number, since it is smaller than the sum of its proper divisors (163578084100).

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

131507404220 is a wasteful number, since it uses less digits than its factorization.

131507404220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 131507404220 in words is "one hundred thirty-one billion, five hundred seven million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 619 685 1238 1370 2329 2476 2740 3095 4561 4658 6190 9122 9316 10523 11645 12380 18244 21046 22805 23290 42092 45610 46580 52615 77537 84803 91220 105230 155074 169606 210460 310148 339212 387685 424015 624857 775370 848030 1249714 1441651 1550740 1696060 2499428 2823259 2883302 3124285 5646518 5766604 6248570 7208255 10622569 11293036 12497140 14116295 14416510 21245138 28232590 28833020 42490276 47995403 53112845 56465180 95990806 106225690 191981612 212451380 239977015 386786483 479954030 773572966 959908060 1547145932 1933932415 3867864830 6575370211 7735729660 13150740422 26301480844 32876851055 65753702110 131507404220