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103400110020 = 22353194159077
BaseRepresentation
bin110000001001100100…
…0000111011111000100
3100212220010112211100110
41200103020013133010
53143230412010040
6115300143113020
710320231301464
oct1402310073704
9325803484313
10103400110020
113a940737089
12180585a2770
13999b07366c
14500c859ba4
152a529b4980
hex18132077c4

103400110020 has 96 divisors (see below), whose sum is σ = 299182334976. Its totient is φ = 26655091200.

The previous prime is 103400109977. The next prime is 103400110061. The reversal of 103400110020 is 20011004301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103400109978 and 103400110005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720722 + ... + 1779798.

It is an arithmetic number, because the mean of its divisors is an integer number (3116482656).

Almost surely, 2103400110020 is an apocalyptic number.

103400110020 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 103400110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149591167488).

103400110020 is an abundant number, since it is smaller than the sum of its proper divisors (195782224956).

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

103400110020 is a wasteful number, since it uses less digits than its factorization.

103400110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60061 (or 60059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103400110020 its reverse (20011004301), we get a palindrome (123411114321).

The spelling of 103400110020 in words is "one hundred three billion, four hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 941 1860 1882 2823 3764 4705 5646 9410 11292 14115 18820 28230 29171 56460 58342 59077 87513 116684 118154 145855 175026 177231 236308 291710 295385 350052 354462 437565 583420 590770 708924 875130 886155 1181540 1750260 1772310 1831387 3544620 3662774 5494161 7325548 9156935 10988322 18313870 21976644 27470805 36627740 54941610 55591457 109883220 111182914 166774371 222365828 277957285 333548742 555914570 667097484 833871855 1111829140 1667743710 1723335167 3335487420 3446670334 5170005501 6893340668 8616675835 10340011002 17233351670 20680022004 25850027505 34466703340 51700055010 103400110020