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103364104016 = 2431293811877
BaseRepresentation
bin110000001000011111…
…0110000111101010000
3100212210121210112101202
41200100332300331100
53143142202312031
6115252415250332
710316313246635
oct1402076607520
9325717715352
10103364104016
113a922384258
12180485199a8
139993777a34
145007b6618c
152a4e7512cb
hex1810fb0f50

103364104016 has 80 divisors (see below), whose sum is σ = 207926358528. Its totient is φ = 49725964800.

The previous prime is 103364104013. The next prime is 103364104027. The reversal of 103364104016 is 610401463301.

It is a self number, because there is not a number n which added to its sum of digits gives 103364104016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103364104013) 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, 117860570 + ... + 117861446.

Almost surely, 2103364104016 is an apocalyptic number.

103364104016 is a gapful number since it is divisible by the number (16) 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 103364104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103963179264).

103364104016 is an abundant number, since it is smaller than the sum of its proper divisors (104562254512).

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

103364104016 is a wasteful number, since it uses less digits than its factorization.

103364104016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 103364104016 its reverse (610401463301), we get a palindrome (713765567317).

The spelling of 103364104016 in words is "one hundred three billion, three hundred sixty-four million, one hundred four thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 293 496 586 811 877 1172 1622 1754 2344 3244 3508 4688 6488 7016 9083 12976 14032 18166 25141 27187 36332 50282 54374 72664 100564 108748 145328 201128 217496 237623 256961 402256 434992 475246 513922 711247 950492 1027844 1422494 1900984 2055688 2844988 3801968 4111376 5689976 7366313 7965791 11379952 14732626 15931582 22048657 29465252 31863164 44097314 58930504 63726328 88194628 117861008 127452656 176389256 208395371 352778512 416790742 833581484 1667162968 3334325936 6460256501 12920513002 25841026004 51682052008 103364104016