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10066113253053 = 321113163214322391
BaseRepresentation
bin1001001001111011001100…
…0110101100111010111101
31022122022101201222111020100
42102132303012230322331
52304410344443044203
633224150353311313
72056152445621224
oct222366306547275
938568351874210
1010066113253053
113231018565630
121166a68b65539
135802cc2853c0
1426b2b9871cbb
15126c991eeea3
hex927b31acebd

10066113253053 has 96 divisors (see below), whose sum is σ = 17195473870848. Its totient is φ = 5593982083200.

The previous prime is 10066113253043. The next prime is 10066113253061. The reversal of 10066113253053 is 35035231166001.

10066113253053 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 113 + 2 + 530 + 5 + 3 = 666.

It is not a de Polignac number, because 10066113253053 - 210 = 10066113252029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10066113252999 and 10066113253017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066113253013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449549488 + ... + 449571878.

It is an arithmetic number, because the mean of its divisors is an integer number (179119519488).

Almost surely, 210066113253053 is an apocalyptic number.

10066113253053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10066113253053 is a deficient number, since it is larger than the sum of its proper divisors (7129360617795).

10066113253053 is a wasteful number, since it uses less digits than its factorization.

10066113253053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24727 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10066113253053 in words is "ten trillion, sixty-six billion, one hundred thirteen million, two hundred fifty-three thousand, fifty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 163 429 489 1287 1467 1793 2119 2143 5379 6357 6429 16137 19071 19287 22391 23309 23573 27859 67173 69927 70719 83577 201519 209781 212157 246301 250731 291083 306449 349309 738903 873249 919347 1047927 2216709 2619747 2758041 3143781 3201913 3649733 3842399 4541017 9605739 10949199 11527197 13623051 28817217 32847597 34581591 40147063 40869153 47446529 47983913 49951187 120441189 142339587 143951739 149853561 361323567 427018761 431855217 449560683 521911819 527823043 623790869 1565735457 1583469129 1871372607 4697206371 4750407387 5614117821 6861699559 7821377819 20585098677 23464133457 61755296031 70392400371 86035156009 101677911647 258105468027 305033734941 774316404081 915101204823 1118457028117 3355371084351 10066113253053