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10120411500 = 2235355712113
BaseRepresentation
bin10010110110011100…
…10011100101101100
3222010022100011122120
421123032103211230
5131211311132000
64352123312540
7505536035613
oct113316234554
928108304576
1010120411500
114323787a51
121b6537b750
13c53929794
146c014887a
153e37456a0
hex25b39396c

10120411500 has 96 divisors (see below), whose sum is σ = 29525985216. Its totient is φ = 2693708800.

The previous prime is 10120411489. The next prime is 10120411507. The reversal of 10120411500 is 511402101.

It is a happy number.

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 10120411500.

It is not an unprimeable number, because it can be changed into a prime (10120411507) 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, 829444 + ... + 841556.

It is an arithmetic number, because the mean of its divisors is an integer number (307562346).

Almost surely, 210120411500 is an apocalyptic number.

10120411500 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 10120411500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762992608).

10120411500 is an abundant number, since it is smaller than the sum of its proper divisors (19405573716).

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

10120411500 is a wasteful number, since it uses less digits than its factorization.

10120411500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12692 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10120411500 its reverse (511402101), we get a palindrome (10631813601).

The spelling of 10120411500 in words is "ten billion, one hundred twenty million, four hundred eleven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 557 750 1114 1500 1671 2228 2785 3342 5570 6684 8355 11140 12113 13925 16710 24226 27850 33420 36339 41775 48452 55700 60565 69625 72678 83550 121130 139250 145356 167100 181695 208875 242260 278500 302825 363390 417750 605650 726780 835500 908475 1211300 1514125 1816950 3028250 3633900 4542375 6056500 6746941 9084750 13493882 18169500 20240823 26987764 33734705 40481646 67469410 80963292 101204115 134938820 168673525 202408230 337347050 404816460 506020575 674694100 843367625 1012041150 1686735250 2024082300 2530102875 3373470500 5060205750 10120411500