Search a number
-
+
3131023020210 = 2325180891923221
BaseRepresentation
bin101101100011111111100…
…000111101000010110010
3102002022201101012022222100
4231203333200331002302
5402244313343121320
610354212213321230
7442131445360461
oct55437740750262
912068641168870
103131023020210
11aa794a962058
12426991336216
1319933c641927
14ab7841c29d8
15566a22d4790
hex2d8ff83d0b2

3131023020210 has 48 divisors (see below), whose sum is σ = 8141114119320. Its totient is φ = 834892880640.

The previous prime is 3131023020137. The next prime is 3131023020211. The reversal of 3131023020210 is 120203201313.

3131023020210 is a `hidden beast` number, since 31 + 310 + 2 + 302 + 0 + 21 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2491021420209 + 640001600001 = 1578297^2 + 800001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3131023020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666400 + ... + 2589620.

Almost surely, 23131023020210 is an apocalyptic number.

3131023020210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3131023020210 is an abundant number, since it is smaller than the sum of its proper divisors (5010091099110).

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

3131023020210 is a wasteful number, since it uses less digits than its factorization.

3131023020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941323 (or 1941320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3131023020210 its reverse (120203201313), we get a palindrome (3251226221523).

The spelling of 3131023020210 in words is "three trillion, one hundred thirty-one billion, twenty-three million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 18089 36178 54267 90445 108534 162801 180890 271335 325602 542670 814005 1628010 1923221 3846442 5769663 9616105 11539326 17308989 19232210 28848315 34617978 57696630 86544945 173089890 34789144669 69578289338 104367434007 173945723345 208734868014 313102302021 347891446690 521837170035 626204604042 1043674340070 1565511510105 3131023020210