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131148101484 = 22341133582107
BaseRepresentation
bin111101000100100001…
…0010011011101101100
3110112111221021211210000
41322021002103131230
54122042403221414
6140125410544300
712321654320001
oct1721102233554
9415457254700
10131148101484
115068a758834
1221501298090
13c4a09c771a
1464c1b698a8
153628a4bb09
hex1e8909376c

131148101484 has 60 divisors (see below), whose sum is σ = 345881184264. Its totient is φ = 43329154176.

The previous prime is 131148101473. The next prime is 131148101509. The reversal of 131148101484 is 484101841131.

It is a happy number.

131148101484 is a `hidden beast` number, since 1 + 31 + 1 + 48 + 101 + 484 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1754442 + ... + 1827665.

Almost surely, 2131148101484 is an apocalyptic number.

It is an amenable number.

131148101484 is an abundant number, since it is smaller than the sum of its proper divisors (214733082780).

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

131148101484 is a wasteful number, since it uses less digits than its factorization.

131148101484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582236 (or 3582225 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 131148101484 in words is "one hundred thirty-one billion, one hundred forty-eight million, one hundred one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 12204 18306 36612 3582107 7164214 10746321 14328428 21492642 32238963 42985284 64477926 96716889 128955852 193433778 290150667 386867556 404778091 580301334 809556182 1160602668 1214334273 1619112364 2428668546 3643002819 4857337092 7286005638 10929008457 14572011276 21858016914 32787025371 43716033828 65574050742 131148101484