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103400120310 = 23529571720789
BaseRepresentation
bin110000001001100100…
…0001001111111110110
3100212220010120100110120
41200103020021333312
53143230412322220
6115300143232410
710320231343464
oct1402310117766
9325803510416
10103400120310
113a940743893
12180585a8706
13999b078256
14500c85d834
152a529b7a40
hex1813209ff6

103400120310 has 64 divisors (see below), whose sum is σ = 256774795200. Its totient is φ = 26616622592.

The previous prime is 103400120297. The next prime is 103400120321. The reversal of 103400120310 is 13021004301.

It is a super-2 number, since 2×1034001203102 (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 103400120310.

It is a congruent number.

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, 4963396 + ... + 4984184.

It is an arithmetic number, because the mean of its divisors is an integer number (4012106175).

Almost surely, 2103400120310 is an apocalyptic number.

103400120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103400120310 is an abundant number, since it is smaller than the sum of its proper divisors (153374674890).

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

103400120310 is a wasteful number, since it uses less digits than its factorization.

103400120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26545.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103400120310 its reverse (13021004301), we get a palindrome (116421124611).

The spelling of 103400120310 in words is "one hundred three billion, four hundred million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 5717 11434 17151 20789 28585 34302 41578 57170 62367 85755 103945 124734 165793 171510 207890 311835 331586 497379 602881 623670 828965 994758 1205762 1657930 1808643 2486895 3014405 3617286 4973790 6028810 9043215 18086430 118850713 237701426 356552139 594253565 713104278 1188507130 1782760695 3446670677 3565521390 6893341354 10340012031 17233353385 20680024062 34466706770 51700060155 103400120310