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103111357014 = 23217714999511
BaseRepresentation
bin110000000000111101…
…0100111001001010110
3100212011000012122200200
41200001322213021112
53142133001411024
6115211350121330
710310124034131
oct1400172471126
9325130178620
10103111357014
113a802744736
1217b97950246
1399532b2bb3
144dc2373218
152a374782c9
hex1801ea7256

103111357014 has 96 divisors (see below), whose sum is σ = 240387264000. Its totient is φ = 31825785600.

The previous prime is 103111357007. The next prime is 103111357033. The reversal of 103111357014 is 410753111301.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10836519 + ... + 10846029.

It is an arithmetic number, because the mean of its divisors is an integer number (2504034000).

Almost surely, 2103111357014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111357014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120193632000).

103111357014 is an abundant number, since it is smaller than the sum of its proper divisors (137275906986).

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

103111357014 is a wasteful number, since it uses less digits than its factorization.

103111357014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 103111357014 its reverse (410753111301), we get a palindrome (513864468315).

The spelling of 103111357014 in words is "one hundred three billion, one hundred eleven million, three hundred fifty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 499 639 998 1207 1278 1497 2414 2994 3621 4491 7242 8483 8982 9511 10863 16966 19022 21726 25449 28533 35429 50898 57066 70858 76347 85599 106287 152694 161687 171198 212574 318861 323374 485061 602293 637722 675281 970122 1204586 1350562 1455183 1806879 2025843 2910366 3613758 4051686 4745989 5420637 6077529 9491978 10841274 11479777 12155058 14237967 22959554 28475934 34439331 42713901 68878662 80681813 85427802 103317993 161363626 206635986 242045439 336965219 484090878 673930438 726136317 1010895657 1452272634 2021791314 3032686971 5728408723 6065373942 11456817446 17185226169 34370452338 51555678507 103111357014