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103014340 = 2251113181199
BaseRepresentation
bin1100010001111…
…01111111000100
321011211200002221
412020331333010
5202332424330
614115542124
72360415232
oct610757704
9234750087
10103014340
1153170220
122a5ba944
131845a840
14d977952
15909cb7a
hex623dfc4

103014340 has 96 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 34214400.

The previous prime is 103014337. The next prime is 103014343. The reversal of 103014340 is 43410301.

It is an interprime number because it is at equal distance from previous prime (103014337) and next prime (103014343).

It is a super-2 number, since 2×1030143402 = 21223908491271200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103014343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517561 + ... + 517759.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2103014340 is an apocalyptic number.

103014340 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 103014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

103014340 is an abundant number, since it is smaller than the sum of its proper divisors (153824060).

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

103014340 is a wasteful number, since it uses less digits than its factorization.

103014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103014340 is about 10149.5980215967. The cubic root of 103014340 is about 468.7765676201.

Adding to 103014340 its reverse (43410301), we get a palindrome (146424641).

It can be divided in two parts, 10301 and 4340, that added together give a palindrome (14641).

The spelling of 103014340 in words is "one hundred three million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 181 199 220 260 286 362 398 572 715 724 796 905 995 1430 1810 1990 1991 2189 2353 2587 2860 3620 3980 3982 4378 4706 5174 7964 8756 9412 9955 10348 10945 11765 12935 19910 21890 23530 25870 25883 28457 36019 39820 43780 47060 51740 51766 56914 72038 103532 113828 129415 142285 144076 180095 258830 284570 360190 396209 468247 517660 569140 720380 792418 936494 1584836 1872988 1981045 2341235 3962090 4682470 5150717 7924180 9364940 10301434 20602868 25753585 51507170 103014340