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12101131210995 = 3251933893581843
BaseRepresentation
bin1011000000011000001110…
…1000001001000011110011
31120211212010122021220210200
42300012003220021003303
53041231104042222440
641423103302530243
72356164212065161
oct260060350110363
946755118256720
1012101131210995
113946074102522
121435344436983
1369a19368a238
142db9aad84231
1515eba1608c30
hexb0183a090f3

12101131210995 has 48 divisors (see below), whose sum is σ = 21138180729120. Its totient is φ = 6403989639168.

The previous prime is 12101131210897. The next prime is 12101131211009. The reversal of 12101131210995 is 59901213110121.

It is not a de Polignac number, because 12101131210995 - 216 = 12101131145459 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587544 + ... + 5169386.

It is an arithmetic number, because the mean of its divisors is an integer number (440378765190).

Almost surely, 212101131210995 is an apocalyptic number.

12101131210995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12101131210995 is a deficient number, since it is larger than the sum of its proper divisors (9037049518125).

12101131210995 is a wasteful number, since it uses less digits than its factorization.

12101131210995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582436 (or 3582433 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 36.

The spelling of 12101131210995 in words is "twelve trillion, one hundred one billion, one hundred thirty-one million, two hundred ten thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 15 45 193 389 579 965 1167 1737 1945 2895 3501 5835 8685 17505 75077 225231 375385 675693 1126155 3378465 3581843 10745529 17909215 32236587 53727645 161182935 691295699 1393336927 2073887097 3456478495 4180010781 6221661291 6966684635 10369435485 12540032343 20900053905 31108306455 62700161715 268914026911 806742080733 1344570134555 2420226242199 4033710403665 12101131210995