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131211322004 = 227173106925339
BaseRepresentation
bin111101000110011001…
…1011110001010010100
3110112200100020210000202
41322030303132022110
54122210044301004
6140135550000032
712323352556250
oct1721463361224
9415610223022
10131211322004
11507124092a4
122151a4a6018
13c4b0b31509
1464ca305260
15362e388b1e
hex1e8ccde294

131211322004 has 48 divisors (see below), whose sum is σ = 264196867200. Its totient is φ = 55853870976.

The previous prime is 131211321961. The next prime is 131211322009. The reversal of 131211322004 is 400223112131.

It is a super-2 number, since 2×1312113220042 (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 (131211322009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5165567 + ... + 5190905.

It is an arithmetic number, because the mean of its divisors is an integer number (5504101400).

Almost surely, 2131211322004 is an apocalyptic number.

131211322004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131211322004 is an abundant number, since it is smaller than the sum of its proper divisors (132985545196).

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

131211322004 is a wasteful number, since it uses less digits than its factorization.

131211322004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26592 (or 26590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131211322004 its reverse (400223112131), we get a palindrome (531434434135).

The spelling of 131211322004 in words is "one hundred thirty-one billion, two hundred eleven million, three hundred twenty-two thousand, four".

Divisors: 1 2 4 7 14 28 173 346 692 1069 1211 2138 2422 4276 4844 7483 14966 25339 29932 50678 101356 177373 184937 354746 369874 709492 739748 1294559 2589118 4383647 5178236 8767294 17534588 27087391 30685529 54174782 61371058 108349564 122742116 189611737 379223474 758446948 4686118643 9372237286 18744474572 32802830501 65605661002 131211322004