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13022021213000 = 2353102409127157
BaseRepresentation
bin1011110101111110110011…
…1100101101101101001000
31201002220010001022001111222
42331133230330231231020
53201323044412304000
643410122311341212
72512544553000512
oct275375474555510
951086101261458
1013022021213000
114170676544a88
121563908681808
13735c82026977
143303aa928bb2
15178aecaa5a85
hexbd7ecf2db48

13022021213000 has 64 divisors (see below), whose sum is σ = 30472066825200. Its totient is φ = 5208716659200.

The previous prime is 13022021212979. The next prime is 13022021213053. The reversal of 13022021213000 is 31212022031.

It can be written as a sum of positive squares in 8 ways, for example, as 2588565645604 + 10433455567396 = 1608902^2 + 3230086^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13022021213000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102345422 + ... + 102472578.

Almost surely, 213022021213000 is an apocalyptic number.

13022021213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022021213000 is an abundant number, since it is smaller than the sum of its proper divisors (17450045612200).

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

13022021213000 is a wasteful number, since it uses less digits than its factorization.

13022021213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229587 (or 229573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13022021213000 its reverse (31212022031), we get a palindrome (13053233235031).

The spelling of 13022021213000 in words is "thirteen trillion, twenty-two billion, twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 102409 127157 204818 254314 409636 508628 512045 635785 819272 1017256 1024090 1271570 2048180 2543140 2560225 3178925 4096360 5086280 5120450 6357850 10240900 12715700 12801125 15894625 20481800 25431400 25602250 31789250 51204500 63578500 102409000 127157000 13022021213 26044042426 52088084852 65110106065 104176169704 130220212130 260440424260 325550530325 520880848520 651101060650 1302202121300 1627752651625 2604404242600 3255505303250 6511010606500 13022021213000