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11133020106 = 2331319382171
BaseRepresentation
bin10100101111001010…
…00110011111001010
31001201212202000112000
422113211012133022
5140300023120411
65040415131430
7542613052365
oct122745063712
931655660460
1011133020106
1147a333286a
1221a8513b76
13108565c980
147788190dc
154525b7956
hex2979467ca

11133020106 has 64 divisors (see below), whose sum is σ = 26781498240. Its totient is φ = 3407754240.

The previous prime is 11133020089. The next prime is 11133020137. The reversal of 11133020106 is 60102033111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94401 + ... + 176571.

It is an arithmetic number, because the mean of its divisors is an integer number (418460910).

Almost surely, 211133020106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133020106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390749120).

11133020106 is an abundant number, since it is smaller than the sum of its proper divisors (15648478134).

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

11133020106 is a wasteful number, since it uses less digits than its factorization.

11133020106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82388 (or 82382 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133020106 its reverse (60102033111), we get a palindrome (71235053217).

The spelling of 11133020106 in words is "eleven billion, one hundred thirty-three million, twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 193 234 351 386 579 702 1158 1737 2509 3474 5018 5211 7527 10422 15054 22581 45162 67743 82171 135486 164342 246513 493026 739539 1068223 1479078 2136446 2218617 3204669 4437234 6409338 9614007 15859003 19228014 28842021 31718006 47577009 57684042 95154018 142731027 206167039 285462054 412334078 428193081 618501117 856386162 1237002234 1855503351 3711006702 5566510053 11133020106