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214360033122 = 2358918612663
BaseRepresentation
bin1100011110100011011…
…0101000011101100010
3202111022010012221200000
43013220312220131202
512003002132024442
6242250423240430
721326020134534
oct3075066503542
9674263187600
10214360033122
1182a00717674
12356648a9116
13172a23b7bb1
14a537317854
155898ec3d4c
hex31e8da8762

214360033122 has 96 divisors (see below), whose sum is σ = 487504967040. Its totient is φ = 70586017920.

The previous prime is 214360033103. The next prime is 214360033141. The reversal of 214360033122 is 221330063412.

214360033122 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 600 + 3 + 31 + 22 = 666.

214360033122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214360033103) and next prime (214360033141).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80494363 + ... + 80497025.

It is an arithmetic number, because the mean of its divisors is an integer number (5078176740).

Almost surely, 2214360033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214360033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243752483520).

214360033122 is an abundant number, since it is smaller than the sum of its proper divisors (273144933918).

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

214360033122 is a wasteful number, since it uses less digits than its factorization.

214360033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 214360033122 its reverse (221330063412), we get a palindrome (435690096534).

The spelling of 214360033122 in words is "two hundred fourteen billion, three hundred sixty million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1602 1861 2403 2663 3722 4806 5326 5583 7209 7989 11166 14418 15978 16749 21627 23967 33498 43254 47934 50247 71901 100494 143802 150741 165629 215703 237007 301482 331258 431406 452223 474014 496887 647109 711021 904446 993774 1294218 1422042 1490661 2133063 2981322 4266126 4471983 4955843 6399189 8943966 9911686 12798378 13415949 14867529 19197567 26831898 29735058 38395134 40247847 44602587 57592701 80495694 89205174 115185402 133807761 267615522 401423283 441070027 802846566 882140054 1204269849 1323210081 2408539698 2646420162 3969630243 7939260486 11908890729 23817781458 35726672187 71453344374 107180016561 214360033122