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1122131111013 = 331133223113723
BaseRepresentation
bin10000010101000100001…
…110011110110001100101
310222021102020122200201000
4100111010032132301211
5121341111031023023
62215255552023513
7144033312032043
oct20250416366145
93867366580630
101122131111013
113a2990838290
12161587531b99
1381a7cb44633
143c450817393
151e2c887c243
hex1054439ec65

1122131111013 has 32 divisors (see below), whose sum is σ = 1813615764480. Its totient is φ = 680053011120.

The previous prime is 1122131111009. The next prime is 1122131111051. The reversal of 1122131111013 is 3101111312211.

1122131111013 is a `hidden beast` number, since 11 + 221 + 311 + 110 + 13 = 666.

It is not a de Polignac number, because 1122131111013 - 22 = 1122131111009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122131111053) 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, 9810370 + ... + 9924092.

It is an arithmetic number, because the mean of its divisors is an integer number (56675492640).

Almost surely, 21122131111013 is an apocalyptic number.

It is an amenable number.

1122131111013 is a deficient number, since it is larger than the sum of its proper divisors (691484653467).

1122131111013 is a wasteful number, since it uses less digits than its factorization.

1122131111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146966 (or 146960 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1122131111013 its reverse (3101111312211), we get a palindrome (4223242423224).

The spelling of 1122131111013 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred eleven thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 297 33223 99669 113723 299007 341169 365453 897021 1023507 1096359 1250953 3070521 3289077 3752859 9867231 11258577 33775731 3778219229 11334657687 34003973061 41560411519 102011919183 124681234557 374043703671 1122131111013