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12101120303031 = 348314291259593
BaseRepresentation
bin1011000000011000001011…
…1110100001111110110111
31120211212002212202201220000
42300012002332201332313
53041231043244144111
641423102233042343
72356164020264424
oct260060276417667
946755085681800
1012101120303031
113946068a32181
1214353408563b3
1369a19133b316
142db9a9744d4b
1515eba06a1c56
hexb0182fa1fb7

12101120303031 has 40 divisors (see below), whose sum is σ = 18307594184880. Its totient is φ = 7964631980928.

The previous prime is 12101120303023. The next prime is 12101120303047. The reversal of 12101120303031 is 13030302110121.

12101120303031 is a `hidden beast` number, since 1 + 210 + 1 + 120 + 30 + 303 + 1 = 666.

It is not a de Polignac number, because 12101120303031 - 23 = 12101120303023 is a prime.

It is a super-2 number, since 2×121011203030312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101120302995 and 12101120303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101120303011) 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 39 ways as a sum of consecutive naturals, for example, 8977371 + ... + 10236963.

It is an arithmetic number, because the mean of its divisors is an integer number (457689854622).

Almost surely, 212101120303031 is an apocalyptic number.

12101120303031 is a deficient number, since it is larger than the sum of its proper divisors (6206473881849).

12101120303031 is a wasteful number, since it uses less digits than its factorization.

12101120303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261117 (or 1261108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12101120303031 its reverse (13030302110121), we get a palindrome (25131422413152).

The spelling of 12101120303031 in words is "twelve trillion, one hundred one billion, one hundred twenty million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 27 81 83 249 747 1429 2241 4287 6723 12861 38583 115749 118607 355821 1067463 1259593 3202389 3778779 9607167 11336337 34009011 102027033 104546219 313638657 940915971 1799958397 2822747913 5399875191 8468243739 16199625573 48598876719 145796630157 149396546951 448189640853 1344568922559 4033706767677 12101120303031