Search a number
-
+
3131013210 = 2351316349253
BaseRepresentation
bin1011101010011111…
…0111100001011010
322002012112221200020
42322213313201122
522403014410320
61234404251310
7140406113253
oct27247674132
98065487606
103131013210
111367414626
127346a0b36
133ab896250
14219b8bb2a
15134d22940
hexba9f785a

3131013210 has 64 divisors (see below), whose sum is σ = 8142277248. Its totient is φ = 765967104.

The previous prime is 3131013103. The next prime is 3131013229. The reversal of 3131013210 is 123101313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3131013210.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38944 + ... + 88196.

It is an arithmetic number, because the mean of its divisors is an integer number (127223082).

Almost surely, 23131013210 is an apocalyptic number.

3131013210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071138624).

3131013210 is an abundant number, since it is smaller than the sum of its proper divisors (5011264038).

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

3131013210 is a wasteful number, since it uses less digits than its factorization.

3131013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49439.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3131013210 is about 55955.4573745939. The cubic root of 3131013210 is about 1462.9460140142.

Adding to 3131013210 its reverse (123101313), we get a palindrome (3254114523).

The spelling of 3131013210 in words is "three billion, one hundred thirty-one million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 390 489 815 978 1630 2119 2445 4238 4890 6357 10595 12714 21190 31785 49253 63570 98506 147759 246265 295518 492530 640289 738795 1280578 1477590 1920867 3201445 3841734 6402890 8028239 9604335 16056478 19208670 24084717 40141195 48169434 80282390 104367107 120423585 208734214 240847170 313101321 521835535 626202642 1043671070 1565506605 3131013210