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1122102012133 = 37436183139301
BaseRepresentation
bin10000010101000010011…
…111011110100011100101
310222021100012220022112201
4100111002133132203211
5121341031103342013
62215253032214501
7144032506505464
oct20250237364345
93867305808481
101122102012133
113a2976372923
1216157983a431
1381a76ac686b
143c44aa009db
151e2c60303dd
hex105427de8e5

1122102012133 has 32 divisors (see below), whose sum is σ = 1213010612352. Its totient is φ = 1036258272000.

The previous prime is 1122102012127. The next prime is 1122102012137. The reversal of 1122102012133 is 3312102012211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122102012133 is a prime.

It is a super-2 number, since 2×11221020121332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122102012133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122102012137) 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, 7985583 + ... + 8124883.

It is an arithmetic number, because the mean of its divisors is an integer number (37906581636).

Almost surely, 21122102012133 is an apocalyptic number.

It is an amenable number.

1122102012133 is a deficient number, since it is larger than the sum of its proper divisors (90908600219).

1122102012133 is a wasteful number, since it uses less digits than its factorization.

1122102012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139525.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1122102012133 its reverse (3312102012211), we get a palindrome (4434204024344).

The spelling of 1122102012133 in words is "one trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred thirty-three".

Divisors: 1 37 43 61 83 1591 2257 2623 3071 3569 5063 97051 132053 139301 187331 217709 5154137 5989943 8055233 8497361 11561983 221627891 314402357 365386523 427793371 497165269 705280963 13519301351 18395114953 26095395631 30327081409 1122102012133