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114530452512020 = 2253710711312800503
BaseRepresentation
bin11010000010101000110010…
…111100000001110100010100
3120000112000010011020002110022
4122002220302330001310110
5110002431331320341040
61043330321420044312
733060360244502246
oct3202506274016424
9500460104202408
10114530452512020
1133547101705266
1210a18928993698
134bba238278c2c
14203d436a62096
15d392eea126b5
hex682a32f01d14

114530452512020 has 96 divisors (see below), whose sum is σ = 251529289175808. Its totient is φ = 43766657206272.

The previous prime is 114530452512019. The next prime is 114530452512059. The reversal of 114530452512020 is 20215254035411.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2547089 + ... + 15347591.

It is an arithmetic number, because the mean of its divisors is an integer number (2620096762248).

Almost surely, 2114530452512020 is an apocalyptic number.

114530452512020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114530452512020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125764644587904).

114530452512020 is an abundant number, since it is smaller than the sum of its proper divisors (136998836663788).

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

114530452512020 is a wasteful number, since it uses less digits than its factorization.

114530452512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800769 (or 12800767 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 114530452512020 in words is "one hundred fourteen trillion, five hundred thirty billion, four hundred fifty-two million, five hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 107 113 148 185 214 226 370 428 452 535 565 740 1070 1130 2140 2260 3959 4181 7918 8362 12091 15836 16724 19795 20905 24182 39590 41810 48364 60455 79180 83620 120910 241820 447367 894734 1789468 2236835 4473670 8947340 12800503 25601006 51202012 64002515 128005030 256010060 473618611 947237222 1369653821 1446456839 1894474444 2368093055 2739307642 2892913678 4736186110 5478615284 5785827356 6848269105 7232284195 9472372220 13696538210 14464568390 27393076420 28929136780 50677191377 53518903043 101354382754 107037806086 154770881773 202708765508 214075612172 253385956885 267594515215 309541763546 506771913770 535189030430 619083527092 773854408865 1013543827540 1070378060860 1547708817730 3095417635460 5726522625601 11453045251202 22906090502404 28632613128005 57265226256010 114530452512020