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10314240102 = 23217378571063
BaseRepresentation
bin10011001101100011…
…01101000001100110
3222121211001200111200
421212301231001212
5132110421140402
64423245543330
7513411410565
oct114661550146
928554050450
1010314240102
114413135281
121bba274b46
13c84b32a6a
146dbba1bdc
1540578121c
hex266c6d066

10314240102 has 96 divisors (see below), whose sum is σ = 24352840512. Its totient is φ = 3141752832.

The previous prime is 10314240043. The next prime is 10314240121. The reversal of 10314240102 is 20104241301.

10314240102 is a `hidden beast` number, since 10 + 314 + 240 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9702423 + ... + 9703485.

It is an arithmetic number, because the mean of its divisors is an integer number (253675422).

Almost surely, 210314240102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314240102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176420256).

10314240102 is an abundant number, since it is smaller than the sum of its proper divisors (14038600410).

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

10314240102 is a wasteful number, since it uses less digits than its factorization.

10314240102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10314240102 its reverse (20104241301), we get a palindrome (30418481403).

The spelling of 10314240102 in words is "ten billion, three hundred fourteen million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 857 1063 1258 1714 1887 2126 2571 3189 3774 5142 5661 6378 7713 9567 11322 14569 15426 18071 19134 29138 31709 36142 39331 43707 54213 63418 78662 87414 95127 108426 117993 131121 162639 190254 235986 262242 285381 325278 353979 539053 570762 668627 707958 910991 1078106 1337254 1617159 1821982 2005881 2732973 3234318 4011762 4851477 5465946 6017643 8198919 9702954 12035286 15486847 16397838 30973694 33706667 46460541 67413334 92921082 101120001 139381623 202240002 278763246 303360003 573013339 606720006 1146026678 1719040017 3438080034 5157120051 10314240102