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214124323020102 = 23411683175929067
BaseRepresentation
bin110000101011111010110100…
…001101100001110101000110
31001002011002022020020210120000
4300223322310031201311012
5211031203103143120402
62035223204522222130
763046654223141625
oct6053726415416506
91032132266223500
10214124323020102
1162254685154040
122002288a654946
139262ab5c19641
143ac395b5d56bc
1519b4ce9722c1c
hexc2beb4361d46

214124323020102 has 80 divisors (see below), whose sum is σ = 524181361822272. Its totient is φ = 64791156426480.

The previous prime is 214124323020089. The next prime is 214124323020169. The reversal of 214124323020102 is 201020323421412.

214124323020102 is a `hidden beast` number, since 2 + 1 + 412 + 4 + 3 + 230 + 2 + 0 + 10 + 2 = 666.

214124323020102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86747428 + ... + 89181639.

Almost surely, 2214124323020102 is an apocalyptic number.

214124323020102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214124323020102 is an abundant number, since it is smaller than the sum of its proper divisors (310057038802170).

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

214124323020102 is a wasteful number, since it uses less digits than its factorization.

214124323020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175929775 (or 175929766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214124323020102 its reverse (201020323421412), we get a palindrome (415144646441514).

The spelling of 214124323020102 in words is "two hundred fourteen trillion, one hundred twenty-four billion, three hundred twenty-three million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 683 891 1366 1782 2049 4098 6147 7513 12294 15026 18441 22539 36882 45078 55323 67617 110646 135234 202851 405702 608553 1217106 175929067 351858134 527787201 1055574402 1583361603 1935219737 3166723206 3870439474 4750084809 5805659211 9500169618 11611318422 14250254427 17416977633 28500508854 34833955266 52250932899 104501865798 120159552761 156752798697 240319105522 313505597394 360478658283 720957316566 1081435974849 1321755080371 2162871949698 2643510160742 3244307924547 3965265241113 6488615849094 7930530482226 9732923773641 11895795723339 19465847547282 23791591446678 35687387170017 71374774340034 107062161510051 214124323020102