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2013032110302 = 2338911316572237
BaseRepresentation
bin11101010010110010000…
…100000101100011011110
321010102222200001122111000
4131102302010011203132
5230440142210012202
64140435120211130
7265302545420523
oct35226204054336
97112880048430
102013032110302
117067a4168184
12286180469aa6
13117a9c499745
146d6075b714a
153756c17391c
hex1d4b21058de

2013032110302 has 128 divisors (see below), whose sum is σ = 4568495644800. Its totient is φ = 656909180928.

The previous prime is 2013032110283. The next prime is 2013032110381. The reversal of 2013032110302 is 2030112303102.

2013032110302 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 321 + 10 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899879128 + ... + 899881364.

It is an arithmetic number, because the mean of its divisors is an integer number (35691372225).

Almost surely, 22013032110302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013032110302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284247822400).

2013032110302 is an abundant number, since it is smaller than the sum of its proper divisors (2555463534498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013032110302 is a wasteful number, since it uses less digits than its factorization.

2013032110302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013032110302 its reverse (2030112303102), we get a palindrome (4043144413404).

The spelling of 2013032110302 in words is "two trillion, thirteen billion, thirty-two million, one hundred ten thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 89 113 178 226 267 339 534 678 801 1017 1602 1657 2034 2237 2403 3051 3314 4474 4806 4971 6102 6711 9942 10057 13422 14913 20114 20133 29826 30171 40266 44739 60342 60399 89478 90513 120798 147473 181026 187241 199093 252781 271539 294946 374482 398186 442419 505562 543078 561723 597279 758343 884838 1123446 1194558 1327257 1516686 1685169 1791837 2275029 2654514 3370338 3583674 3706709 3981771 4550058 5055507 5375511 6825087 7413418 7963542 10111014 10751022 11120127 13650174 16664449 22240254 22497509 33328898 33360381 44995018 49993347 66720762 67492527 99986694 100081143 134985054 149980041 200162286 202477581 299960082 329897101 404955162 418858117 449940123 607432743 659794202 837716234 899880246 989691303 1214865486 1256574351 1979382606 2513148702 2969073909 3769723053 5938147818 7539446106 8907221727 11309169159 17814443454 22618338318 37278372413 74556744826 111835117239 223670234478 335505351717 671010703434 1006516055151 2013032110302