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131361620250 = 2353773342757
BaseRepresentation
bin111101001010111000…
…0110100000100011010
3110120001211001201110110
41322111300310010122
54123012033322000
6140202515225150
712330156230460
oct1722560640432
9416054051413
10131361620250
115078a234623
12215608a81b6
13c5060060a3
14650226a830
15363c676850
hex1e95c3411a

131361620250 has 128 divisors (see below), whose sum is σ = 379852641792. Its totient is φ = 29614118400.

The previous prime is 131361620233. The next prime is 131361620287. The reversal of 131361620250 is 52026163131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211872 + ... + 554628.

It is an arithmetic number, because the mean of its divisors is an integer number (2967598764).

Almost surely, 2131361620250 is an apocalyptic number.

131361620250 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 131361620250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189926320896).

131361620250 is an abundant number, since it is smaller than the sum of its proper divisors (248491021542).

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

131361620250 is a wasteful number, since it uses less digits than its factorization.

131361620250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342857 (or 342847 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 131361620250 its reverse (52026163131), we get a palindrome (183387783381).

The spelling of 131361620250 in words is "one hundred thirty-one billion, three hundred sixty-one million, six hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 125 146 150 175 210 219 250 350 365 375 438 511 525 730 750 875 1022 1050 1095 1533 1750 1825 2190 2555 2625 3066 3650 5110 5250 5475 7665 9125 10950 12775 15330 18250 25550 27375 38325 54750 63875 76650 127750 191625 342757 383250 685514 1028271 1713785 2056542 2399299 3427570 4798598 5141355 7197897 8568925 10282710 11996495 14395794 17137850 23992990 25021261 25706775 35989485 42844625 50042522 51413550 59982475 71978970 75063783 85689250 119964950 125106305 128533875 150127566 175148827 179947425 250212610 257067750 299912375 350297654 359894850 375318915 525446481 599824750 625531525 750637830 875744135 899737125 1050892962 1251063050 1751488270 1799474250 1876594575 2627232405 3127657625 3753189150 4378720675 5254464810 6255315250 8757441350 9382972875 13136162025 18765945750 21893603375 26272324050 43787206750 65680810125 131361620250