Search a number
-
+
10215010500 = 2235341916253
BaseRepresentation
bin10011000001101110…
…01011000011000100
3222100220100022002020
421200313023003010
5131410020314000
64405343043140
7511065104502
oct114067130304
928326308066
1010215010500
11437211a642
121b90ba04b0
13c6a3cbb16
146cc931672
153ebbceba0
hex260dcb0c4

10215010500 has 96 divisors (see below), whose sum is σ = 29818938240. Its totient is φ = 2717334400.

The previous prime is 10215010483. The next prime is 10215010501. The reversal of 10215010500 is 501051201.

It is a super-2 number, since 2×102150105002 (a number of 21 digits) contains 22 as substring.

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 10215010500.

It is not an unprimeable number, because it can be changed into a prime (10215010501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620374 + ... + 636626.

It is an arithmetic number, because the mean of its divisors is an integer number (310613940).

Almost surely, 210215010500 is an apocalyptic number.

10215010500 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 10215010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909469120).

10215010500 is an abundant number, since it is smaller than the sum of its proper divisors (19603927740).

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

10215010500 is a wasteful number, since it uses less digits than its factorization.

10215010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16694 (or 16682 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 10215010500 its reverse (501051201), we get a palindrome (10716061701).

The spelling of 10215010500 in words is "ten billion, two hundred fifteen million, ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 419 500 750 838 1257 1500 1676 2095 2514 4190 5028 6285 8380 10475 12570 16253 20950 25140 31425 32506 41900 48759 52375 62850 65012 81265 97518 104750 125700 157125 162530 195036 209500 243795 314250 325060 406325 487590 628500 812650 975180 1218975 1625300 2031625 2437950 4063250 4875900 6094875 6810007 8126500 12189750 13620014 20430021 24379500 27240028 34050035 40860042 68100070 81720084 102150105 136200140 170250175 204300210 340500350 408600420 510750525 681000700 851250875 1021501050 1702501750 2043002100 2553752625 3405003500 5107505250 10215010500