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114122305620 = 223351791180657
BaseRepresentation
bin110101001001000111…
…0000011000001010100
3101220120101020210121000
41222102032003001110
53332210302234440
6124232125023300
711150025410121
oct1522216030124
9356511223530
10114122305620
1144443080364
121a14b3b4b30
13a9b9571abb
145748893748
152e7de7b730
hex1a92383054

114122305620 has 96 divisors (see below), whose sum is σ = 357030979200. Its totient is φ = 30262574592.

The previous prime is 114122305511. The next prime is 114122305639. The reversal of 114122305620 is 26503221411.

114122305620 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 2 + 30 + 5 + 620 = 666.

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 31 ways as a sum of consecutive naturals, for example, 493669 + ... + 686988.

It is an arithmetic number, because the mean of its divisors is an integer number (3719072700).

Almost surely, 2114122305620 is an apocalyptic number.

114122305620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122305620 is an abundant number, since it is smaller than the sum of its proper divisors (242908673580).

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

114122305620 is a wasteful number, since it uses less digits than its factorization.

114122305620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180854 (or 1180846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 114122305620 in words is "one hundred fourteen billion, one hundred twenty-two million, three hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 48330 96660 1180657 2361314 3541971 4722628 5903285 7083942 10625913 11806570 14167884 17709855 21251826 23613140 31877739 35419710 42503652 53129565 63755478 70839420 106259130 127510956 159388695 211337603 212518260 318777390 422675206 634012809 637554780 845350412 1056688015 1268025618 1902038427 2113376030 2536051236 3170064045 3804076854 4226752060 5706115281 6340128090 7608153708 9510192135 11412230562 12680256180 19020384270 22824461124 28530576405 38040768540 57061152810 114122305620