Search a number
-
+
10202031300 = 2235259357347
BaseRepresentation
bin10011000000001011…
…01010010011000100
3222022222220212222010
421200011222103010
5131343210000200
64404200534220
7510546556326
oct114005522304
928288825863
1010202031300
11436586512a
121b88781370
13c67806216
146cad13616
153ea9b9150
hex26016a4c4

10202031300 has 72 divisors (see below), whose sum is σ = 29568170016. Its totient is φ = 2715906560.

The previous prime is 10202031277. The next prime is 10202031337. The reversal of 10202031300 is 313020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149227 + ... + 206573.

It is an arithmetic number, because the mean of its divisors is an integer number (410669028).

Almost surely, 210202031300 is an apocalyptic number.

10202031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784085008).

10202031300 is an abundant number, since it is smaller than the sum of its proper divisors (19366138716).

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

10202031300 is a wasteful number, since it uses less digits than its factorization.

10202031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57957 (or 57950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10202031300 its reverse (313020201), we get a palindrome (10515051501).

The spelling of 10202031300 in words is "ten billion, two hundred two million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 1186 1779 2372 2965 3558 5930 7116 8895 11860 14825 17790 29650 35580 44475 57347 59300 88950 114694 172041 177900 229388 286735 344082 573470 688164 860205 1146940 1433675 1720410 2867350 3440820 4301025 5734700 8602050 17204100 34006771 68013542 102020313 136027084 170033855 204040626 340067710 408081252 510101565 680135420 850169275 1020203130 1700338550 2040406260 2550507825 3400677100 5101015650 10202031300