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135397976031 = 35975744261
BaseRepresentation
bin111111000011001011…
…0010010011111011111
3110221111010011211200000
41332012112102133133
54204243340213111
6142111224305343
712532200543543
oct1760626223737
9427433154600
10135397976031
115247069a44a
12222a8612253
13c9ca3166a6
1467a6365a23
1537c6bcdc56
hex1f865927df

135397976031 has 24 divisors (see below), whose sum is σ = 204909314064. Its totient is φ = 89334731520.

The previous prime is 135397976003. The next prime is 135397976033. The reversal of 135397976031 is 130679793531.

135397976031 is a `hidden beast` number, since 1 + 3 + 539 + 7 + 9 + 76 + 0 + 31 = 666.

It is not a de Polignac number, because 135397976031 - 27 = 135397975903 is a prime.

It is a super-2 number, since 2×1353979760312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135397976033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848560 + ... + 2895701.

It is an arithmetic number, because the mean of its divisors is an integer number (8537888086).

Almost surely, 2135397976031 is an apocalyptic number.

135397976031 is a deficient number, since it is larger than the sum of its proper divisors (69511338033).

135397976031 is an frugal number, since it uses more digits than its factorization.

135397976031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744373 (or 5744361 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 135397976031 in words is "one hundred thirty-five billion, three hundred ninety-seven million, nine hundred seventy-six thousand, thirty-one".

Divisors: 1 3 9 27 81 97 243 291 873 2619 7857 23571 5744261 17232783 51698349 155095047 465285141 557193317 1395855423 1671579951 5014739853 15044219559 45132658677 135397976031