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214202621124 = 2236127578407
BaseRepresentation
bin1100011101111101111…
…0001001110011000100
3202110220011000121000000
43013133132021303010
512002141332333444
6242223041321300
721322066144452
oct3073736116304
9673804017000
10214202621124
118292a882708
1235620036230
13172788c23bb
14a52045d9d2
15588a27d469
hex31df789cc4

214202621124 has 84 divisors (see below), whose sum is σ = 566451149824. Its totient is φ = 70838539632.

The previous prime is 214202621107. The next prime is 214202621141. The reversal of 214202621124 is 421126202412.

It is a happy number.

214202621124 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 2 + 621 + 12 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214202621107) and next prime (214202621141).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81129 + ... + 659535.

Almost surely, 2214202621124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214202621124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283225574912).

214202621124 is an abundant number, since it is smaller than the sum of its proper divisors (352248528700).

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

214202621124 is a wasteful number, since it uses less digits than its factorization.

214202621124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578556 (or 578539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214202621124 its reverse (421126202412), we get a palindrome (635328823536).

The spelling of 214202621124 in words is "two hundred fourteen billion, two hundred two million, six hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 486 508 729 762 972 1143 1458 1524 2286 2916 3429 4572 6858 10287 13716 20574 30861 41148 61722 92583 123444 185166 370332 578407 1156814 1735221 2313628 3470442 5205663 6940884 10411326 15616989 20822652 31233978 46850967 62467956 73457689 93701934 140552901 146915378 187403868 220373067 281105802 293830756 421658703 440746134 562211604 661119201 843317406 881492268 1322238402 1686634812 1983357603 2644476804 3966715206 5950072809 7933430412 11900145618 17850218427 23800291236 35700436854 53550655281 71400873708 107101310562 214202621124