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103314012144 = 24371718087187
BaseRepresentation
bin110000000110111111…
…1101011011111110000
3100212200010112121021020
41200031333223133300
53143041341342034
6115243425455440
710315134420330
oct1401577533760
9325603477236
10103314012144
113a8a7080512
12180337a1580
139986289885
1450012470c0
152a4a159249
hex180dfeb7f0

103314012144 has 80 divisors (see below), whose sum is σ = 322964828928. Its totient is φ = 27781917696.

The previous prime is 103314012143. The next prime is 103314012169. The reversal of 103314012144 is 441210413301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314012143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9037882 + ... + 9049305.

Almost surely, 2103314012144 is an apocalyptic number.

103314012144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103314012144 is an abundant number, since it is smaller than the sum of its proper divisors (219650816784).

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

103314012144 is a wasteful number, since it uses less digits than its factorization.

103314012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087222 (or 18087216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103314012144 its reverse (441210413301), we get a palindrome (544524425445).

The spelling of 103314012144 in words is "one hundred three billion, three hundred fourteen million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 18087187 36174374 54261561 72348748 108523122 126610309 144697496 217046244 253220618 289394992 307482179 379830927 434092488 506441236 614964358 759661854 868184976 922446537 1012882472 1229928716 1519323708 1844893074 2025764944 2152375253 2459857432 3038647416 3689786148 4304750506 4919714864 6077294832 6457125759 7379572296 8609501012 12914251518 14759144592 17219002024 25828503036 34438004048 51657006072 103314012144