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131193190948 = 22197166488821
BaseRepresentation
bin111101000101110111…
…0010011101000100100
3110112122002010121220011
41322023232103220210
54122140424102243
6140134101220004
712323042503111
oct1721356235044
9415562117804
10131193190948
1150703155156
1221514401604
13c4aa153991
1464c7b45908
15362c9a689d
hex1e8bb93a24

131193190948 has 12 divisors (see below), whose sum is σ = 230753507292. Its totient is φ = 65263617440.

The previous prime is 131193190939. The next prime is 131193190951. The reversal of 131193190948 is 849091391131.

It can be written as a sum of positive squares in 2 ways, for example, as 102686920704 + 28506270244 = 320448^2 + 168838^2 .

It is a super-2 number, since 2×1311931909482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 83243623 + ... + 83245198.

It is an arithmetic number, because the mean of its divisors is an integer number (19229458941).

Almost surely, 2131193190948 is an apocalyptic number.

It is an amenable number.

131193190948 is a deficient number, since it is larger than the sum of its proper divisors (99560316344).

131193190948 is a wasteful number, since it uses less digits than its factorization.

131193190948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166489022 (or 166489020 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The spelling of 131193190948 in words is "one hundred thirty-one billion, one hundred ninety-three million, one hundred ninety thousand, nine hundred forty-eight".

Divisors: 1 2 4 197 394 788 166488821 332977642 665955284 32798297737 65596595474 131193190948