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22121100301013 = 759267735175689
BaseRepresentation
bin1010000011110011110000…
…10100110101001011010101
32220022202102111220001100122
411001321320110311023111
510344413003134113023
6115014143154521325
74442124326061020
oct501717024651325
986282374801318
1022121100301013
11705956247341a
122593273896245
13c4601a98a14c
1456694a2301b7
1528564970e2c8
hex141e785352d5

22121100301013 has 32 divisors (see below), whose sum is σ = 25731192364800. Its totient is φ = 18624036201984.

The previous prime is 22121100300979. The next prime is 22121100301061. The reversal of 22121100301013 is 31010300112122.

It is a cyclic number.

It is not a de Polignac number, because 22121100301013 - 228 = 22120831865557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22121100300982 and 22121100301000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121100303013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3888395873 + ... + 3888401561.

It is an arithmetic number, because the mean of its divisors is an integer number (804099761400).

Almost surely, 222121100301013 is an apocalyptic number.

It is an amenable number.

22121100301013 is a deficient number, since it is larger than the sum of its proper divisors (3610092063787).

22121100301013 is a wasteful number, since it uses less digits than its factorization.

22121100301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 22121100301013 its reverse (31010300112122), we get a palindrome (53131400413135).

The spelling of 22121100301013 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred million, three hundred one thousand, thirteen".

Divisors: 1 7 59 413 2677 3517 5689 18739 24619 39823 157943 207503 335651 1105601 1452521 2349557 9415009 15229453 20008213 65905063 106606171 140057491 555485531 898537727 1180484567 3888398717 6289764089 8263391969 53561986201 374933903407 3160157185859 22121100301013