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1061106000600 = 2335215791120019
BaseRepresentation
bin11110111000011101101…
…10001010001011011000
310202102220022010212211110
433130032312022023120
5114341121114004400
62131244304100320
7136443124121202
oct17341666121330
93672808125743
101061106000600
1137a015746638
121517963046a0
13790a5bc7a49
1439501b5b772
151c906137e50
hexf70ed8a2d8

1061106000600 has 96 divisors (see below), whose sum is σ = 3291514776000. Its totient is φ = 282782144640.

The previous prime is 1061106000587. The next prime is 1061106000623. The reversal of 1061106000600 is 60006011601.

It is a super-2 number, since 2×10611060006002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387391 + ... + 1507409.

It is an arithmetic number, because the mean of its divisors is an integer number (34286612250).

Almost surely, 21061106000600 is an apocalyptic number.

1061106000600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061106000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645757388000).

1061106000600 is an abundant number, since it is smaller than the sum of its proper divisors (2230408775400).

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

1061106000600 is a wasteful number, since it uses less digits than its factorization.

1061106000600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121617 (or 1121608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1061106000600 in words is "one trillion, sixty-one billion, one hundred six million, six hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1579 3158 4737 6316 7895 9474 12632 15790 18948 23685 31580 37896 39475 47370 63160 78950 94740 118425 157900 189480 236850 315800 473700 947400 1120019 2240038 3360057 4480076 5600095 6720114 8960152 11200190 13440228 16800285 22400380 26880456 28000475 33600570 44800760 56000950 67201140 84001425 112001900 134402280 168002850 224003800 336005700 672011400 1768510001 3537020002 5305530003 7074040004 8842550005 10611060006 14148080008 17685100010 21222120012 26527650015 35370200020 42444240024 44212750025 53055300030 70740400040 88425500050 106110600060 132638250075 176851000100 212221200120 265276500150 353702000200 530553000300 1061106000600