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103022011310300 = 225214910729644443
BaseRepresentation
bin10111011011001010101110…
…011000110110000011011100
3111111202210211002202020000122
4113123022232120312003130
5102000403034343412200
61003035354133014112
730462044323352555
oct2733125630660334
9444683732666018
10103022011310300
112a90a431674095
12b67a433184338
134563c1ac57bc4
141b6241319132c
15bd9c8b628385
hex5db2ae6360dc

103022011310300 has 72 divisors (see below), whose sum is σ = 225079478106000. Its totient is φ = 40928356753920.

The previous prime is 103022011310293. The next prime is 103022011310333. The reversal of 103022011310300 is 3013110220301.

103022011310300 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 2×1030220113103002 (a number of 29 digits) contains 22 as substring.

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, 159539879 + ... + 160184321.

Almost surely, 2103022011310300 is an apocalyptic number.

103022011310300 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 103022011310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112539739053000).

103022011310300 is an abundant number, since it is smaller than the sum of its proper divisors (122057466795700).

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

103022011310300 is a wasteful number, since it uses less digits than its factorization.

103022011310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655335 (or 655328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103022011310300 its reverse (3013110220301), we get a palindrome (106035121530601).

The spelling of 103022011310300 in words is "one hundred three trillion, twenty-two billion, eleven million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 10729 14900 21458 42916 53645 107290 214580 268225 536450 644443 1072900 1288886 1598621 2577772 3197242 3222215 6394484 6444430 7993105 12888860 15986210 16111075 31972420 32222150 39965525 64444300 79931050 96022007 159862100 192044014 384088028 480110035 960220070 1920440140 2400550175 4801100350 6914228947 9602200700 13828457894 27656915788 34571144735 69142289470 138284578940 172855723675 345711447350 691422894700 1030220113103 2060440226206 4120880452412 5151100565515 10302201131030 20604402262060 25755502827575 51511005655150 103022011310300