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1056125005110 = 23457223835271
BaseRepresentation
bin11110101111001011111…
…01001010110100110110
310201222001011112002120000
433113211331022310312
5114300421000130420
62125102132052130
7136205522265360
oct17274575126466
93658034462500
101056125005110
1137799a039a3a
12150826164046
1378790c91436
143918c405d30
151c713bd7690
hexf5e5f4ad36

1056125005110 has 160 divisors (see below), whose sum is σ = 3260046569472. Its totient is φ = 240317202240.

The previous prime is 1056125005097. The next prime is 1056125005127. The reversal of 1056125005110 is 115005216501.

1056125005110 is a `hidden beast` number, since 1 + 0 + 561 + 2 + 50 + 0 + 51 + 1 + 0 = 666.

It is a super-2 number, since 2×10561250051102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 846775 + ... + 1682045.

Almost surely, 21056125005110 is an apocalyptic number.

1056125005110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056125005110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630023284736).

1056125005110 is an abundant number, since it is smaller than the sum of its proper divisors (2203921564362).

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

1056125005110 is a wasteful number, since it uses less digits than its factorization.

1056125005110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835520 (or 835511 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1056125005110 in words is "one trillion, fifty-six billion, one hundred twenty-five million, five thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 223 270 315 378 405 446 567 630 669 810 945 1115 1134 1338 1561 1890 2007 2230 2835 3122 3345 4014 4683 5670 6021 6690 7805 9366 10035 12042 14049 15610 18063 20070 23415 28098 30105 36126 42147 46830 60210 70245 84294 90315 126441 140490 180630 210735 252882 421470 632205 835271 1264410 1670542 2505813 4176355 5011626 5846897 7517439 8352710 11693794 12529065 15034878 17540691 22552317 25058130 29234485 35081382 37587195 45104634 52622073 58468970 67656951 75174390 87703455 105244146 112761585 135313902 157866219 175406910 186265433 225523170 263110365 315732438 338284755 372530866 473598657 526220730 558796299 676569510 789331095 931327165 947197314 1117592598 1303858031 1578662190 1676388897 1862654330 2367993285 2607716062 2793981495 3352777794 3911574093 4735986570 5029166691 5587962990 6519290155 7823148186 8381944485 10058333382 11734722279 13038580310 15087500073 16763888970 19557870465 23469444558 25145833455 30175000146 35204166837 39115740930 50291666910 58673611395 70408333674 75437500365 105612500511 117347222790 150875000730 176020834185 211225001022 352041668370 528062502555 1056125005110