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201351214030356 = 2232132291878766973
BaseRepresentation
bin101101110010000010111011…
…100101100101111000010100
3222101220222200022012210222200
4231302002323211211320110
5202342414241242432411
61552123245403324500
760261100534134105
oct5562027345457024
9871828608183880
10201351214030356
115917a630117565
121a6bb26a220730
1388474517c06a0
1437a1644c423ac
151842919216e56
hexb720bb965e14

201351214030356 has 72 divisors (see below), whose sum is σ = 550516298721480. Its totient is φ = 61683677224704.

The previous prime is 201351214030289. The next prime is 201351214030363. The reversal of 201351214030356 is 653030412153102.

201351214030356 is a `hidden beast` number, since 2 + 0 + 13 + 51 + 214 + 0 + 30 + 356 = 666.

201351214030356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101288524208400 + 100062689821956 = 10064220^2 + 10003134^2 .

It is a super-2 number, since 2×2013512140303562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201351214030356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939276315 + ... + 939490658.

It is an arithmetic number, because the mean of its divisors is an integer number (7646059704465).

Almost surely, 2201351214030356 is an apocalyptic number.

201351214030356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

201351214030356 is an abundant number, since it is smaller than the sum of its proper divisors (349165084691124).

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

201351214030356 is a wasteful number, since it uses less digits than its factorization.

201351214030356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878767225 (or 1878767220 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 201351214030356 its reverse (653030412153102), we get a palindrome (854381626183458).

The spelling of 201351214030356 in words is "two hundred one trillion, three hundred fifty-one billion, two hundred fourteen million, thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172 1878766973 3757533946 5636300919 7515067892 11272601838 16908902757 22545203676 24423970649 33817805514 48847941298 67635611028 73271911947 97695882596 146543823894 219815735841 293087647788 430237636817 439631471682 860475273634 879262943364 1290712910451 1720950547268 2581425820902 3872138731353 5162851641804 5593089278621 7744277462706 11186178557242 15488554925412 16779267835863 22372357114484 33558535671726 50337803507589 67117071343452 100675607015178 201351214030356