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10120760706 = 2371993593373
BaseRepresentation
bin10010110110011111…
…01000110110000010
3222010022222220200010
421123033220312002
5131211403320311
64352135005350
7505542021660
oct113317506602
928108886603
1010120760706
1143239a6351
121b65509856
13c53a1c704
146c01d9c30
153e37b3da6
hex25b3e8d82

10120760706 has 64 divisors (see below), whose sum is σ = 23321088000. Its totient is φ = 2868250176.

The previous prime is 10120760677. The next prime is 10120760717. The reversal of 10120760706 is 60706702101.

It is a happy number.

10120760706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101207607062 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998836 + ... + 3002208.

It is an arithmetic number, because the mean of its divisors is an integer number (364392000).

Almost surely, 210120760706 is an apocalyptic number.

10120760706 is an abundant number, since it is smaller than the sum of its proper divisors (13200327294).

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

10120760706 is a wasteful number, since it uses less digits than its factorization.

10120760706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943.

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 10120760706 in words is "ten billion, one hundred twenty million, seven hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 21 42 199 359 398 597 718 1077 1194 1393 2154 2513 2786 3373 4179 5026 6746 7539 8358 10119 15078 20238 23611 47222 70833 71441 141666 142882 214323 428646 500087 671227 1000174 1210907 1342454 1500261 2013681 2421814 3000522 3632721 4027362 4698589 7265442 8476349 9397178 14095767 16952698 25429047 28191534 50858094 240970493 481940986 722911479 1445822958 1686793451 3373586902 5060380353 10120760706