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13021214340300 = 2235237231704929
BaseRepresentation
bin1011110101111011110011…
…0110101111010011001100
31201002211000211000200020220
42331132330312233103030
53201314421332342200
643405510245311340
72512515554461125
oct275367466572314
951084024020226
1013021214340300
1141702a203a641
121563722405550
13735b83b087ba
143303316d104c
15178aa1d224a0
hexbd7bcdaf4cc

13021214340300 has 108 divisors (see below), whose sum is σ = 38720470090680. Its totient is φ = 3378477127680.

The previous prime is 13021214340217. The next prime is 13021214340349. The reversal of 13021214340300 is 304341212031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15441765 + ... + 16263164.

It is an arithmetic number, because the mean of its divisors is an integer number (358522871210).

Almost surely, 213021214340300 is an apocalyptic number.

13021214340300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021214340300 is an abundant number, since it is smaller than the sum of its proper divisors (25699255750380).

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

13021214340300 is a wasteful number, since it uses less digits than its factorization.

13021214340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31705020 (or 31704976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13021214340300 its reverse (304341212031), we get a palindrome (13325555552331).

The spelling of 13021214340300 in words is "thirteen trillion, twenty-one billion, two hundred fourteen million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1369 1850 2220 2738 2775 3700 4107 5476 5550 6845 8214 11100 13690 16428 20535 27380 34225 41070 68450 82140 102675 136900 205350 410700 31704929 63409858 95114787 126819716 158524645 190229574 317049290 380459148 475573935 634098580 792623225 951147870 1173082373 1585246450 1902295740 2346164746 2377869675 3170492900 3519247119 4692329492 4755739350 5865411865 7038494238 9511478700 11730823730 14076988476 17596235595 23461647460 29327059325 35192471190 43404047801 58654118650 70384942380 86808095602 87981177975 117308237300 130212143403 173616191204 175962355950 217020239005 260424286806 351924711900 434040478010 520848573612 651060717015 868080956020 1085101195025 1302121434030 2170202390050 2604242868060 3255303585075 4340404780100 6510607170150 13021214340300