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131367312450 = 2325211193137507
BaseRepresentation
bin111101001011000011…
…0100001110001000010
3110120002012202220200200
41322112012201301002
54123020012444300
6140203241230030
712330255506013
oct1722606416102
9416065686620
10131367312450
1150792472220
1221562792316
13c507249c5a
146502d0d00a
15363cded200
hex1e961a1c42

131367312450 has 144 divisors (see below), whose sum is σ = 387023416416. Its totient is φ = 31681382400.

The previous prime is 131367312443. The next prime is 131367312493. The reversal of 131367312450 is 54213763131.

131367312450 is a `hidden beast` number, since 1 + 3 + 136 + 73 + 1 + 2 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886597 + ... + 1024103.

It is an arithmetic number, because the mean of its divisors is an integer number (2687662614).

Almost surely, 2131367312450 is an apocalyptic number.

131367312450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131367312450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193511708208).

131367312450 is an abundant number, since it is smaller than the sum of its proper divisors (255656103966).

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

131367312450 is a wasteful number, since it uses less digits than its factorization.

131367312450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137729 (or 137721 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 131367312450 in words is "one hundred thirty-one billion, three hundred sixty-seven million, three hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 193 198 225 275 330 386 450 495 550 579 825 965 990 1158 1650 1737 1930 2123 2475 2895 3474 4246 4825 4950 5790 6369 8685 9650 10615 12738 14475 17370 19107 21230 28950 31845 38214 43425 53075 63690 86850 95535 106150 137507 159225 191070 275014 318450 412521 477675 687535 825042 955350 1237563 1375070 1512577 2062605 2475126 3025154 3437675 4125210 4537731 6187815 6875350 7562885 9075462 10313025 12375630 13613193 15125770 20626050 22688655 26538851 27226386 30939075 37814425 45377310 53077702 61878150 68065965 75628850 79616553 113443275 132694255 136131930 159233106 226886550 238849659 265388510 291927361 340329825 398082765 477699318 583854722 663471275 680659650 796165530 875782083 1194248295 1326942550 1459636805 1751564166 1990413825 2388496590 2627346249 2919273610 3980827650 4378910415 5254692498 5971241475 7298184025 8757820830 11942482950 13136731245 14596368050 21894552075 26273462490 43789104150 65683656225 131367312450