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103013310300 = 223521063323027
BaseRepresentation
bin101111111110000010…
…0100101111101011100
3100211220011201100212220
41133330010211331130
53141432401412200
6115153524425340
710304523455505
oct1377404457534
9324804640786
10103013310300
113a76236779a
1217b6ab48250
139938ba44a4
144db332dbac
152a2da5c4a0
hex17fc125f5c

103013310300 has 72 divisors (see below), whose sum is σ = 298333155456. Its totient is φ = 27444288960.

The previous prime is 103013310289. The next prime is 103013310359. The reversal of 103013310300 is 3013310301.

103013310300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030133103002 (a number of 23 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 103013310300.

It is a congruent number.

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, 157387 + ... + 480413.

It is an arithmetic number, because the mean of its divisors is an integer number (4143516048).

Almost surely, 2103013310300 is an apocalyptic number.

103013310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013310300 is an abundant number, since it is smaller than the sum of its proper divisors (195319845156).

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

103013310300 is a wasteful number, since it uses less digits than its factorization.

103013310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324107 (or 324100 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103013310300 its reverse (3013310301), we get a palindrome (106026620601).

Subtracting from 103013310300 its reverse (3013310301), we obtain a palindrome (99999999999).

The spelling of 103013310300 in words is "one hundred three billion, thirteen million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1063 2126 3189 4252 5315 6378 10630 12756 15945 21260 26575 31890 53150 63780 79725 106300 159450 318900 323027 646054 969081 1292108 1615135 1938162 3230270 3876324 4845405 6460540 8075675 9690810 16151350 19381620 24227025 32302700 48454050 96908100 343377701 686755402 1030133103 1373510804 1716888505 2060266206 3433777010 4120532412 5150665515 6867554020 8584442525 10301331030 17168885050 20602662060 25753327575 34337770100 51506655150 103013310300