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201302020203102 = 232713424332896213
BaseRepresentation
bin101101110001010101000111…
…011010000010001001011110
3222101202021200220100110110200
4231301111013122002021132
5202341113014132444402
61552044512121044330
760254406501404160
oct5561250732021136
9871667626313420
10201302020203102
1159160786520a85
121a6b181b3266a6
138842911a85370
14379d0d9606930
1518414da51821c
hexb7154768225e

201302020203102 has 96 divisors (see below), whose sum is σ = 536818223218368. Its totient is φ = 53089373196288.

The previous prime is 201302020203079. The next prime is 201302020203113.

201302020203102 is a `hidden beast` number, since 2 + 0 + 130 + 20 + 202 + 0 + 310 + 2 = 666.

201302020203102 is nontrivially palindromic in base 10.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68057148 + ... + 70953360.

It is an arithmetic number, because the mean of its divisors is an integer number (5591856491858).

Almost surely, 2201302020203102 is an apocalyptic number.

201302020203102 is an abundant number, since it is smaller than the sum of its proper divisors (335516203015266).

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

201302020203102 is a wasteful number, since it uses less digits than its factorization.

201302020203102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938674 (or 2938671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 201302020203102 in words is "two hundred one trillion, three hundred two billion, twenty million, two hundred three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 42433 84866 127299 254598 297031 381897 551629 594062 763794 891093 1103258 1654887 1782186 2673279 2896213 3309774 3861403 4964661 5346558 5792426 7722806 8688639 9929322 11584209 17377278 20273491 23168418 26065917 34752627 37650769 40546982 52131834 60820473 69505254 75301538 112952307 121640946 182461419 225904614 263555383 338856921 364922838 527110766 677713842 790666149 1581332298 2371998447 4743996894 122895006229 245790012458 368685018687 737370037374 860265043603 1106055056061 1597635080977 1720530087206 2212110112122 2580795130809 3195270161954 4792905242931 5161590261618 7742385392427 9585810485862 11183445566839 14378715728793 15484770784854 22366891133678 28757431457586 33550336700517 67100673401034 100651010101551 201302020203102