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201430123302024 = 2336172031692521
BaseRepresentation
bin101101110011001100011010…
…111100100100110010001000
3222102012112100121221011000000
4231303030122330210302020
5202400212343031131044
61552223415435043000
760266563142646531
oct5563143274446210
9872175317834000
10201430123302024
1159200043371271
121a7126108a0460
138851a1896ca06
1437a53acbb3688
1518449d6a81d69
hexb7331af24c88

201430123302024 has 112 divisors (see below), whose sum is σ = 599572780167420. Its totient is φ = 63193764142080.

The previous prime is 201430123301951. The next prime is 201430123302029. The reversal of 201430123302024 is 420203321034102.

201430123302024 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 301 + 2 + 330 + 2 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199987169789124 + 1442953512900 = 14141682^2 + 1201230^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201430123302029) 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 27 ways as a sum of consecutive naturals, for example, 1015747117 + ... + 1015945404.

Almost surely, 2201430123302024 is an apocalyptic number.

201430123302024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201430123302024 is an abundant number, since it is smaller than the sum of its proper divisors (398142656865396).

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

201430123302024 is a wasteful number, since it uses less digits than its factorization.

201430123302024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031692562 (or 2031692543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201430123302024 its reverse (420203321034102), we get a palindrome (621633444336126).

The spelling of 201430123302024 in words is "two hundred one trillion, four hundred thirty billion, one hundred twenty-three million, three hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 5508 5832 8262 11016 12393 16524 24786 33048 49572 99144 2031692521 4063385042 6095077563 8126770084 12190155126 16253540168 18285232689 24380310252 34538772857 36570465378 48760620504 54855698067 69077545714 73140930756 103616318571 109711396134 138155091428 146281861512 164567094201 207232637142 219422792268 276310182856 310848955713 329134188402 414465274284 438845584536 493701282603 621697911426 658268376804 828930548568 932546867139 987402565206 1243395822852 1316536753608 1481103847809 1865093734278 1974805130412 2486791645704 2797640601417 2962207695618 3730187468556 3949610260824 5595281202834 5924415391236 7460374937112 8392921804251 11190562405668 11848830782472 16785843608502 22381124811336 25178765412753 33571687217004 50357530825506 67143374434008 100715061651012 201430123302024