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12150400026331 = 7107152316016653
BaseRepresentation
bin1011000011001111110001…
…0001110000011011011011
31121000120022021021001122001
42300303330101300123123
53043033004401320311
641501452224341431
72362560145105210
oct260637421603333
947016267231561
1012150400026331
113964a57066726
1214429b4474877
136a1a15abc5c8
1430012253db07
151610d6bbb4c1
hexb0cfc4706db

12150400026331 has 32 divisors (see below), whose sum is σ = 14036021273088. Its totient is φ = 10302532454400.

The previous prime is 12150400026311. The next prime is 12150400026377. The reversal of 12150400026331 is 13362000405121.

It is a cyclic number.

It is not a de Polignac number, because 12150400026331 - 213 = 12150400018139 is a prime.

It is a super-2 number, since 2×121504000263312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12150400026331.

It is not an unprimeable number, because it can be changed into a prime (12150400026311) 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 31 ways as a sum of consecutive naturals, for example, 1826300601 + ... + 1826307253.

It is an arithmetic number, because the mean of its divisors is an integer number (438625664784).

Almost surely, 212150400026331 is an apocalyptic number.

12150400026331 is a deficient number, since it is larger than the sum of its proper divisors (1885621246757).

12150400026331 is a wasteful number, since it uses less digits than its factorization.

12150400026331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 12150400026331 in words is "twelve trillion, one hundred fifty billion, four hundred million, twenty-six thousand, three hundred thirty-one".

Divisors: 1 7 107 749 1523 1601 6653 10661 11207 46571 162961 171307 711871 1140727 1199149 2438323 4983097 10132519 10651453 17068261 70927633 74560171 260900561 1084179533 1139705471 1826303927 7589256731 7977938297 16222162919 113555140433 1735771432333 12150400026331