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131141101201400 = 2352719235288817
BaseRepresentation
bin11101110100010110101010…
…110000001010011111111000
3122012022222002211020102100002
4131310112222300022133320
5114142103433401421100
61142525220140532132
736423426511655513
oct3564265260123770
9565288084212302
10131141101201400
11388706a0872164
1212860035551048
1358237255c4474
1424553981a5d7a
1510264335532d5
hex7745aac0a7f8

131141101201400 has 48 divisors (see below), whose sum is σ = 309197469626640. Its totient is φ = 51717617369600.

The previous prime is 131141101201399. The next prime is 131141101201403. The reversal of 131141101201400 is 4102101141131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141101201403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4617630209 + ... + 4617658608.

It is an arithmetic number, because the mean of its divisors is an integer number (6441613950555).

Almost surely, 2131141101201400 is an apocalyptic number.

131141101201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141101201400 is an abundant number, since it is smaller than the sum of its proper divisors (178056368425240).

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

131141101201400 is a wasteful number, since it uses less digits than its factorization.

131141101201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235288904 (or 9235288895 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 131141101201400 its reverse (4102101141131), we get a palindrome (135243202342531).

The spelling of 131141101201400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 9235288817 18470577634 36941155268 46176444085 73882310536 92352888170 184705776340 230882220425 369411552680 461764440850 655705506007 923528881700 1311411012014 1847057763400 2622822024028 3278527530035 5245644048056 6557055060070 13114110120140 16392637650175 26228220240280 32785275300350 65570550600700 131141101201400