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1106011056060 = 2232523211615323
BaseRepresentation
bin10000000110000011011…
…001010110011110111100
310220201210210221001110200
4100012003121112132330
5121110102312243220
62204032223203500
7142622661601221
oct20060331263674
93821723831420
101106011056060
11397069453419
1215a428a46590
13803b1245491
143b761953948
151db8356e890
hex101836567bc

1106011056060 has 108 divisors (see below), whose sum is σ = 3507107697912. Its totient is φ = 282112940736.

The previous prime is 1106011056053. The next prime is 1106011056103. The reversal of 1106011056060 is 606501106011.

1106011056060 is a `hidden beast` number, since 1 + 1 + 0 + 601 + 1 + 0 + 56 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×11060110560602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5712442 + ... + 5902881.

Almost surely, 21106011056060 is an apocalyptic number.

1106011056060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106011056060 is an abundant number, since it is smaller than the sum of its proper divisors (2401096641852).

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

1106011056060 is a wasteful number, since it uses less digits than its factorization.

1106011056060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615384 (or 11615356 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1106011056060 in words is "one trillion, one hundred six billion, eleven million, fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 529 690 828 1035 1058 1380 1587 2070 2116 2645 3174 4140 4761 5290 6348 7935 9522 10580 15870 19044 23805 31740 47610 95220 11615323 23230646 34845969 46461292 58076615 69691938 104537907 116153230 139383876 174229845 209075814 232306460 267152429 348459690 418151628 522689535 534304858 696919380 801457287 1045379070 1068609716 1335762145 1602914574 2090758140 2404371861 2671524290 3205829148 4007286435 4808743722 5343048580 6144505867 8014572870 9617487444 12021859305 12289011734 16029145740 18433517601 24043718610 24578023468 30722529335 36867035202 48087437220 55300552803 61445058670 73734070404 92167588005 110601105606 122890117340 184335176010 221202211212 276502764015 368670352020 553005528030 1106011056060