Search a number
-
+
9930611310 = 235886137357
BaseRepresentation
bin10010011111110100…
…10001101001101110
3221122002012022201220
421033322101221232
5130314214030220
64321223244210
7501042542364
oct111772215156
927562168656
109930611310
114236631294
121b118a9666
13c23503c89
146a2c5d634
153d1c53540
hex24fe91a6e

9930611310 has 32 divisors (see below), whose sum is σ = 23836794912. Its totient is φ = 2647793280.

The previous prime is 9930611281. The next prime is 9930611311. The reversal of 9930611310 is 131160399.

It is a happy number.

It is a super-2 number, since 2×99306113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930611311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247152 + ... + 284508.

It is an arithmetic number, because the mean of its divisors is an integer number (744899841).

Almost surely, 29930611310 is an apocalyptic number.

9930611310 is an abundant number, since it is smaller than the sum of its proper divisors (13906183602).

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

9930611310 is a wasteful number, since it uses less digits than its factorization.

9930611310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46228.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 9930611310 is about 99652.4526040378. The cubic root of 9930611310 is about 2149.4400063098.

The spelling of 9930611310 in words is "nine billion, nine hundred thirty million, six hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 8861 17722 26583 37357 44305 53166 74714 88610 112071 132915 186785 224142 265830 373570 560355 1120710 331020377 662040754 993061131 1655101885 1986122262 3310203770 4965305655 9930611310