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131141134200 = 233521291716921
BaseRepresentation
bin111101000100010011…
…1101110011101111000
3110112111110011212110110
41322020213232131320
54122034112243300
6140125001344320
712321541151136
oct1721047563570
9415443155413
10131141134200
115068682a14a
12214baa980a0
13c49c42837b
1464c0c74756
153628122550
hex1e889ee778

131141134200 has 96 divisors (see below), whose sum is σ = 406593016560. Its totient is φ = 34966195200.

The previous prime is 131141134169. The next prime is 131141134213. The reversal of 131141134200 is 2431141131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7741740 + ... + 7758660.

Almost surely, 2131141134200 is an apocalyptic number.

131141134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141134200 is an abundant number, since it is smaller than the sum of its proper divisors (275451882360).

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

131141134200 is a wasteful number, since it uses less digits than its factorization.

131141134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29857 (or 29848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131141134200 its reverse (2431141131), we get a palindrome (133572275331).

The spelling of 131141134200 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 12917 16921 25834 33842 38751 50763 51668 64585 67684 77502 84605 101526 103336 129170 135368 155004 169210 193755 203052 253815 258340 310008 322925 338420 387510 406104 423025 507630 516680 645850 676840 775020 846050 968775 1015260 1269075 1291700 1550040 1692100 1937550 2030520 2538150 2583400 3384200 3875100 5076300 7750200 10152600 218568557 437137114 655705671 874274228 1092842785 1311411342 1748548456 2185685570 2622822684 3278528355 4371371140 5245645368 5464213925 6557056710 8742742280 10928427850 13114113420 16392641775 21856855700 26228226840 32785283550 43713711400 65570567100 131141134200