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1131131200131 = 33237324951607
BaseRepresentation
bin10000011101011100101…
…011000110001010000011
311000010122110220120222000
4100131130223012022003
5122013024041401011
62223345015115043
7144502325363652
oct20353453061203
94003573816860
101131131200131
113a678a08a469
12163279672a83
138288562635a
143ca65c53199
151e653a75356
hex1075cac6283

1131131200131 has 32 divisors (see below), whose sum is σ = 1772562232320. Its totient is φ = 711420190272.

The previous prime is 1131131200127. The next prime is 1131131200151. The reversal of 1131131200131 is 1310021311311.

1131131200131 is a `hidden beast` number, since 11 + 311 + 312 + 0 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 1131131200131 - 22 = 1131131200127 is a prime.

It is a super-2 number, since 2×11311312001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131131200151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12430471 + ... + 12521136.

It is an arithmetic number, because the mean of its divisors is an integer number (55392569760).

Almost surely, 21131131200131 is an apocalyptic number.

1131131200131 is a deficient number, since it is larger than the sum of its proper divisors (641431032189).

1131131200131 is a wasteful number, since it uses less digits than its factorization.

1131131200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24951712 (or 24951706 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131131200131 its reverse (1310021311311), we get a palindrome (2441152511442).

The spelling of 1131131200131 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 69 73 207 219 621 657 1679 1971 5037 15111 45333 24951607 74854821 224564463 573886961 673693389 1721660883 1821467311 5164982649 5464401933 15494947947 16393205799 41893748153 49179617397 125681244459 377043733377 1131131200131