Search a number
-
+
107071120706 = 211171018533323
BaseRepresentation
bin110001110110111101…
…1111010010101000010
3101020100222012111022012
41203231323322111002
53223240201330311
6121104321412522
710510215336524
oct1435573722502
9336328174265
10107071120706
1141454946810
1218901a9a142
13a134787334
14527a211a14
152bb9e0178b
hex18edefa542

107071120706 has 64 divisors (see below), whose sum is σ = 187626450816. Its totient is φ = 45285504000.

The previous prime is 107071120703. The next prime is 107071120721. The reversal of 107071120706 is 607021170701.

It is a happy number.

107071120706 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070711207062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107071120703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32219561 + ... + 32222883.

It is an arithmetic number, because the mean of its divisors is an integer number (2931663294).

Almost surely, 2107071120706 is an apocalyptic number.

107071120706 is a deficient number, since it is larger than the sum of its proper divisors (80555330110).

107071120706 is a wasteful number, since it uses less digits than its factorization.

107071120706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307.

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 107071120706 in words is "one hundred seven billion, seventy-one million, one hundred twenty thousand, seven hundred six".

Divisors: 1 2 11 17 22 34 101 187 202 374 853 1111 1706 1717 2222 3323 3434 6646 9383 14501 18766 18887 29002 36553 37774 56491 73106 86153 112982 159511 172306 319022 335623 621401 671246 947683 1242802 1464601 1895366 2834519 2929202 3691853 5669038 5705591 7383706 11411182 16110611 31179709 32221222 48186823 62359418 62761501 96373646 125523002 286286419 530055053 572572838 1060110106 3149150609 4866869123 6298301218 9733738246 53535560353 107071120706