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10013031232029 = 3271927109308573
BaseRepresentation
bin1001000110110101011100…
…1010110111001000011101
31022110020101100210102120200
42101231113022313020131
52303023141443411104
633143531213334113
72052263151111360
oct221552712671035
938406340712520
1010013031232029
113210559100571
121158713a97339
135782bcb43bc7
142688c1aa80d7
151256ddeb3b39
hex91b572b721d

10013031232029 has 48 divisors (see below), whose sum is σ = 17400117571200. Its totient is φ = 5420370814848.

The previous prime is 10013031232021. The next prime is 10013031232031. The reversal of 10013031232029 is 92023213031001.

10013031232029 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 0 + 312 + 320 + 29 = 666.

It is not a de Polignac number, because 10013031232029 - 23 = 10013031232021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013031231993 and 10013031232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013031232021) 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 47 ways as a sum of consecutive naturals, for example, 32295187 + ... + 32603759.

It is an arithmetic number, because the mean of its divisors is an integer number (362502449400).

Almost surely, 210013031232029 is an apocalyptic number.

10013031232029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10013031232029 is a deficient number, since it is larger than the sum of its proper divisors (7387086339171).

10013031232029 is a wasteful number, since it uses less digits than its factorization.

10013031232029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335714 (or 335711 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10013031232029 in words is "ten trillion, thirteen billion, thirty-one million, two hundred thirty-two thousand, twenty-nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 27109 81327 189763 243981 308573 515071 569289 925719 1545213 1707867 2160011 2777157 3605497 4635639 5862887 6480033 10816491 17588661 19440099 32449473 41040209 52765983 123120627 369361881 8365105457 25095316371 58555738199 75285949113 158937003683 175667214597 476811011049 527001643791 1112559025781 1430433033147 3337677077343 10013031232029