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103114350514314 = 2328921039696067
BaseRepresentation
bin10111011100100000101110…
…001110111101000010001010
3111112002122011101020210210200
4113130200232032331002022
5102003411142212424224
61003150024554353030
730501523505552106
oct2734405616750212
9445078141223720
10103114350514314
112a945606752837
12b69430342b776
13456c84559a769
141b66a92a04906
15bdc39301c5c9
hex5dc82e3bd08a

103114350514314 has 72 divisors (see below), whose sum is σ = 226170702338880. Its totient is φ = 33952495743936.

The previous prime is 103114350514313. The next prime is 103114350514321. The reversal of 103114350514314 is 413415053411301.

It is a happy number.

103114350514314 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 4 + 3 + 505 + 143 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (103114350514313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147790509 + ... + 148486575.

Almost surely, 2103114350514314 is an apocalyptic number.

103114350514314 is an abundant number, since it is smaller than the sum of its proper divisors (123056351824566).

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

103114350514314 is a wasteful number, since it uses less digits than its factorization.

103114350514314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697292 (or 697200 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 103114350514314 in words is "one hundred three trillion, one hundred fourteen billion, three hundred fifty million, five hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1039 1602 2078 3117 6234 7921 9351 15842 18702 23763 47526 71289 92471 142578 184942 277413 554826 696067 832239 1392134 1664478 2088201 4176402 6264603 8229919 12529206 16459838 24689757 49379514 61949963 74069271 123899926 148138542 185849889 371699778 557549667 723213613 1115099334 1446427226 2169640839 4339281678 5513546707 6508922517 11027093414 13017845034 16540640121 33081280242 49621920363 64366011557 99243840726 128732023114 193098034671 386196069342 579294104013 1158588208026 5728575028573 11457150057146 17185725085719 34371450171438 51557175257157 103114350514314