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103413110401300 = 22527419352584761
BaseRepresentation
bin10111100000110110111101…
…101101011110100100010100
3111120011012022110200120022011
4113200312331231132210110
5102023310022230320200
61003535154351514004
730532231164650560
oct2740667555364424
9446135273616264
10103413110401300
112aa50287935847
12b7221a1528904
134591a784cba8b
141b773151746a0
15be502b8ba5ba
hex5e0dbdb5e914

103413110401300 has 72 divisors (see below), whose sum is σ = 257076601669440. Its totient is φ = 35371303123200.

The previous prime is 103413110401253. The next prime is 103413110401313. The reversal of 103413110401300 is 3104011314301.

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, 175999081 + ... + 176585680.

It is an arithmetic number, because the mean of its divisors is an integer number (3570508356520).

Almost surely, 2103413110401300 is an apocalyptic number.

103413110401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103413110401300 is an abundant number, since it is smaller than the sum of its proper divisors (153663491268140).

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

103413110401300 is a wasteful number, since it uses less digits than its factorization.

103413110401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352585201 (or 352585194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103413110401300 its reverse (3104011314301), we get a palindrome (106517121715601).

The spelling of 103413110401300 in words is "one hundred three trillion, four hundred thirteen billion, one hundred ten million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 419 700 838 1676 2095 2933 4190 5866 8380 10475 11732 14665 20950 29330 41900 58660 73325 146650 293300 352584761 705169522 1410339044 1762923805 2468093327 3525847610 4936186654 7051695220 8814619025 9872373308 12340466635 17629238050 24680933270 35258476100 49361866540 61702333175 123404666350 147733014859 246809332700 295466029718 590932059436 738665074295 1034131104013 1477330148590 2068262208026 2954660297180 3693325371475 4136524416052 5170655520065 7386650742950 10341311040130 14773301485900 20682622080260 25853277600325 51706555200650 103413110401300