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1122101332131 = 3131943157922303
BaseRepresentation
bin10000010101000010011…
…100111000100010100011
310222021100011121202202110
4100111002130320202203
5121341030420112011
62215253005450403
7144032500644123
oct20250234704243
93867304552673
101122101332131
113a2975a48a3a
12161579570a03
1381a769191b0
143c44a8a4c83
151e2c5e48ba6
hex105427388a3

1122101332131 has 64 divisors (see below), whose sum is σ = 1736642969600. Its totient is φ = 638533736064.

The previous prime is 1122101332129. The next prime is 1122101332139. The reversal of 1122101332131 is 1312331012211.

It is not a de Polignac number, because 1122101332131 - 21 = 1122101332129 is a prime.

It is a super-2 number, since 2×11221013321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1122101332098 and 1122101332107.

It is not an unprimeable number, because it can be changed into a prime (1122101332139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50300526 + ... + 50322828.

It is an arithmetic number, because the mean of its divisors is an integer number (27135046400).

Almost surely, 21122101332131 is an apocalyptic number.

1122101332131 is a deficient number, since it is larger than the sum of its proper divisors (614541637469).

1122101332131 is a wasteful number, since it uses less digits than its factorization.

1122101332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23960.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1122101332131 its reverse (1312331012211), we get a palindrome (2434432344342).

The spelling of 1122101332131 in words is "one trillion, one hundred twenty-two billion, one hundred one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 19 39 43 57 129 247 559 741 817 1579 1677 2451 4737 10621 20527 22303 30001 31863 61581 66909 67897 90003 203691 289939 390013 423757 869817 882661 959029 1170039 1271271 1290043 2647983 2877087 3870129 5508841 12467377 16526523 16770559 18221551 35216437 37402131 50311677 54664653 105649311 236880163 457813681 669112303 710640489 1373441043 1514306791 2007336909 4542920373 8698459939 19685988283 26095379817 28771829029 59057964849 86315487087 374033777377 1122101332131