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1100135145552 = 243191583920551
BaseRepresentation
bin10000000000100101001…
…010100010000001010000
310220011122022100212120120
4100000211022202001100
5121011034044124202
62201221202110240
7142324242305622
oct20004512420120
93804568325516
101100135145552
11394623677933
1215926904b380
137c985aa5b61
143b365406c12
151d93c7990bc
hex100252a2050

1100135145552 has 80 divisors (see below), whose sum is σ = 2857523773440. Its totient is φ = 364711536000.

The previous prime is 1100135145533. The next prime is 1100135145553. The reversal of 1100135145552 is 2555415310011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100135145553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53521677 + ... + 53542227.

It is an arithmetic number, because the mean of its divisors is an integer number (35719047168).

Almost surely, 21100135145552 is an apocalyptic number.

1100135145552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100135145552 is an abundant number, since it is smaller than the sum of its proper divisors (1757388627888).

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

1100135145552 is a wasteful number, since it uses less digits than its factorization.

1100135145552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26592 (or 26586 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 1100135145552 in words is "one trillion, one hundred billion, one hundred thirty-five million, one hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 5839 9168 11678 17517 20551 23356 35034 41102 46712 61653 70068 82204 93424 123306 140136 164408 246612 280272 328816 493224 986448 1115249 2230498 3345747 3925241 4460996 6691494 7850482 8921992 11775723 13382988 15700964 17843984 23551446 26765976 31401928 47102892 53531952 62803856 94205784 119997289 188411568 239994578 359991867 479989156 719983734 959978312 1439967468 1919956624 2879934936 5759869872 22919482199 45838964398 68758446597 91677928796 137516893194 183355857592 275033786388 366711715184 550067572776 1100135145552