Search a number
-
+
2513012100 = 2235212836529
BaseRepresentation
bin1001010111001001…
…1000010110000100
320111010200020112020
42111302120112010
520121312341400
61053210323140
7116163151614
oct22562302604
96433606466
102513012100
11107a591205
125a17294b0
13310837011
1419ba7aa44
15ea94b2a0
hex95c98584

2513012100 has 72 divisors (see below), whose sum is σ = 7277763360. Its totient is φ = 669511680.

The previous prime is 2513012093. The next prime is 2513012101. The reversal of 2513012100 is 12103152.

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 2513012100.

It is not an unprimeable number, because it can be changed into a prime (2513012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381636 + ... + 388164.

Almost surely, 22513012100 is an apocalyptic number.

2513012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513012100 is an abundant number, since it is smaller than the sum of its proper divisors (4764751260).

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

2513012100 is a wasteful number, since it uses less digits than its factorization.

2513012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2513012100 is about 50129.9521244535. The cubic root of 2513012100 is about 1359.5594197147.

Adding to 2513012100 its reverse (12103152), we get a palindrome (2525115252).

The spelling of 2513012100 in words is "two billion, five hundred thirteen million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1283 2566 3849 5132 6415 6529 7698 12830 13058 15396 19245 19587 25660 26116 32075 32645 38490 39174 64150 65290 76980 78348 96225 97935 128300 130580 163225 192450 195870 326450 384900 391740 489675 652900 979350 1958700 8376707 16753414 25130121 33506828 41883535 50260242 83767070 100520484 125650605 167534140 209417675 251301210 418835350 502602420 628253025 837670700 1256506050 2513012100