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20301134022 = 232131914833079
BaseRepresentation
bin10010111010000010…
…101011100011000110
31221101211011110110200
4102322002223203012
5313034042242042
613154243431330
71316036535441
oct227202534306
957354143420
1020301134022
118678508514
123b26985546
131bb6bb1950
14da82b2658
157dc400c4c
hex4ba0ab8c6

20301134022 has 96 divisors (see below), whose sum is σ = 49912262400. Its totient is φ = 5911828416.

The previous prime is 20301134017. The next prime is 20301134047. The reversal of 20301134022 is 22043110302.

20301134022 is a `hidden beast` number, since 2 + 0 + 301 + 1 + 340 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20301133986 and 20301134004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6591879 + ... + 6594957.

It is an arithmetic number, because the mean of its divisors is an integer number (519919400).

Almost surely, 220301134022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301134022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956131200).

20301134022 is an abundant number, since it is smaller than the sum of its proper divisors (29611128378).

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

20301134022 is a wasteful number, since it uses less digits than its factorization.

20301134022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4599 counting only the distinct ones).

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

Adding to 20301134022 its reverse (22043110302), we get a palindrome (42344244324).

The spelling of 20301134022 in words is "twenty billion, three hundred one million, one hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 1483 2223 2966 3079 4446 4449 6158 8898 9237 13347 18474 19279 26694 27711 28177 38558 40027 55422 56354 57837 58501 80054 84531 115674 117002 120081 169062 173511 175503 240162 253593 347022 351006 360243 366301 507186 526509 720486 732602 760513 1053018 1098903 1521026 2197806 2281539 3296709 4563078 4566157 6593418 6844617 9132314 13689234 13698471 27396942 41095413 59360041 82190826 86756983 118720082 173513966 178080123 260270949 356160246 520541898 534240369 780812847 1068480738 1127840779 1561625694 2255681558 3383522337 6767044674 10150567011 20301134022