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213002010342 = 23311852142083
BaseRepresentation
bin1100011001011111101…
…0001011111011100110
3202100210110212020122000
43012113322023323212
511442212003312332
6241503552150130
721250250133462
oct3062772137346
9670713766560
10213002010342
1182374099aa0
1235345b38346
1317116c45c14
14a448c114a2
155819b71b7c
hex3197e8bee6

213002010342 has 64 divisors (see below), whose sum is σ = 516441381120. Its totient is φ = 64536955200.

The previous prime is 213002010301. The next prime is 213002010427. The reversal of 213002010342 is 243010200312.

213002010342 is a `hidden beast` number, since 2 + 1 + 300 + 20 + 1 + 0 + 342 = 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5040433 + ... + 5082515.

It is an arithmetic number, because the mean of its divisors is an integer number (8069396580).

Almost surely, 2213002010342 is an apocalyptic number.

213002010342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213002010342 is an abundant number, since it is smaller than the sum of its proper divisors (303439370778).

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

213002010342 is a wasteful number, since it uses less digits than its factorization.

213002010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50626 (or 50620 counting only the distinct ones).

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

Adding to 213002010342 its reverse (243010200312), we get a palindrome (456012210654).

The spelling of 213002010342 in words is "two hundred thirteen billion, two million, ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 8521 17042 25563 42083 51126 76689 84166 93731 126249 153378 187462 230067 252498 281193 378747 460134 462913 562386 757494 843579 925826 1136241 1388739 1687158 2272482 2530737 2777478 4166217 5061474 8332434 12498651 24997302 358589243 717178486 1075767729 2151535458 3227303187 3944481673 6454606374 7888963346 9681909561 11833445019 19363819122 23666890038 35500335057 71000670114 106501005171 213002010342