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12030111310293 = 336117747411577
BaseRepresentation
bin1010111100001111101010…
…0000101110000111010101
31120121001211010211011012000
42233003322200232013111
53034100131443412133
641330320135545513
72351101241641116
oct257037240560725
946531733734160
1012030111310293
113918a3a234a0a
121423623b2b299
13693585b5855b
142d8390b2020d
1515cde66d5413
hexaf0fa82e1d5

12030111310293 has 32 divisors (see below), whose sum is σ = 18115622133120. Its totient is φ = 7888133911680.

The previous prime is 12030111310213. The next prime is 12030111310303. The reversal of 12030111310293 is 39201311103021.

12030111310293 is a `hidden beast` number, since 1 + 20 + 30 + 1 + 11 + 310 + 293 = 666.

It is not a de Polignac number, because 12030111310293 - 29 = 12030111309781 is a prime.

It is a super-2 number, since 2×120301113102932 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030111310213) 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, 29023521 + ... + 29435097.

It is an arithmetic number, because the mean of its divisors is an integer number (566113191660).

Almost surely, 212030111310293 is an apocalyptic number.

It is an amenable number.

12030111310293 is a deficient number, since it is larger than the sum of its proper divisors (6085510822827).

12030111310293 is a wasteful number, since it uses less digits than its factorization.

12030111310293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429394 (or 429388 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12030111310293 in words is "twelve trillion, thirty billion, one hundred eleven million, three hundred ten thousand, two hundred ninety-three".

Divisors: 1 3 9 27 61 183 549 1647 17747 53241 159723 411577 479169 1082567 1234731 3247701 3704193 9743103 11112579 25106197 29229309 75318591 225955773 677867319 7304257019 21912771057 65738313171 197214939513 445559678159 1336679034477 4010037103431 12030111310293