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5101005252 = 2237233126209
BaseRepresentation
bin1001100000000101…
…10010100111000100
3111011111102220201110
410300002302213010
540421324132002
62202100125020
7240256554300
oct46002624704
914144386643
105101005252
112188425822
12ba4396770
13633a64b05
14365674d00
151ecc58e6c
hex1300b29c4

5101005252 has 72 divisors (see below), whose sum is σ = 13887945120. Its totient is φ = 1452971520.

The previous prime is 5101005223. The next prime is 5101005263. The reversal of 5101005252 is 2525001015.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 181524 + ... + 207732.

Almost surely, 25101005252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101005252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943972560).

5101005252 is an abundant number, since it is smaller than the sum of its proper divisors (8786939868).

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

5101005252 is a wasteful number, since it uses less digits than its factorization.

5101005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26561 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 5101005252 is about 71421.3221104174. The cubic root of 5101005252 is about 1721.4137074725.

Adding to 5101005252 its reverse (2525001015), we get a palindrome (7626006267).

The spelling of 5101005252 in words is "five billion, one hundred one million, five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 331 588 662 993 1324 1986 2317 3972 4634 6951 9268 13902 16219 26209 27804 32438 48657 52418 64876 78627 97314 104836 157254 183463 194628 314508 366926 550389 733852 1100778 1284241 2201556 2568482 3852723 5136964 7705446 8675179 15410892 17350358 26025537 34700716 52051074 60726253 104102148 121452506 182178759 242905012 364357518 425083771 728715036 850167542 1275251313 1700335084 2550502626 5101005252