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245100121013340 = 223252365539034477
BaseRepresentation
bin110111101110101011010001…
…101001011011110001011100
31012010211100020212000122122100
4313232223101221123301130
5224111210021434411330
62225141235143045100
7102424620325613535
oct6756532151336134
91163740225018570
10245100121013340
11711074176240aa
12235a6066740790
13a69bac451a558
144474ca2a0768c
151d5093b16d060
hexdeead1a5bc5c

245100121013340 has 144 divisors (see below), whose sum is σ = 775913639312448. Its totient is φ = 62508744410112.

The previous prime is 245100121013323. The next prime is 245100121013381. The reversal of 245100121013340 is 43310121001542.

245100121013340 is a `hidden beast` number, since 2 + 4 + 5 + 100 + 1 + 210 + 1 + 3 + 340 = 666.

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, 22612182 + ... + 31646658.

It is an arithmetic number, because the mean of its divisors is an integer number (5388289161892).

Almost surely, 2245100121013340 is an apocalyptic number.

245100121013340 is a gapful number since it is divisible by the number (20) 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 245100121013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387956819656224).

245100121013340 is an abundant number, since it is smaller than the sum of its proper divisors (530813518299108).

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

245100121013340 is a wasteful number, since it uses less digits than its factorization.

245100121013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041068 (or 9041063 counting only the distinct ones).

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

Adding to 245100121013340 its reverse (43310121001542), we get a palindrome (288410242014882).

The spelling of 245100121013340 in words is "two hundred forty-five trillion, one hundred billion, one hundred twenty-one million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 6553 13106 19659 26212 32765 39318 58977 65530 78636 98295 117954 131060 150719 196590 235908 294885 301438 393180 452157 589770 602876 753595 904314 1179540 1356471 1507190 1808628 2260785 2712942 3014380 4521570 5425884 6782355 9034477 9043140 13564710 18068954 27103431 27129420 36137908 45172385 54206862 81310293 90344770 108413724 135517155 162620586 180689540 207792971 271034310 325241172 406551465 415585942 542068620 623378913 813102930 831171884 1038964855 1246757826 1626205860 1870136739 2077929710 2493515652 3116894565 3740273478 4155859420 6233789130 7480546956 9350683695 12467578260 18701367390 37402734780 59202927781 118405855562 177608783343 236811711124 296014638905 355217566686 532826350029 592029277810 710435133372 888043916715 1065652700058 1184058555620 1361667338963 1776087833430 2131305400116 2664131750145 2723334677926 3552175666860 4085002016889 5328263500290 5446669355852 6808336694815 8170004033778 10656527000580 12255006050667 13616673389630 16340008067556 20425010084445 24510012101334 27233346779260 40850020168890 49020024202668 61275030253335 81700040337780 122550060506670 245100121013340