Search a number
-
+
102413311044 = 2231143132713597
BaseRepresentation
bin101111101100001001…
…1110001110001000100
3100210100100201020122020
41133120103301301010
53134220301423134
6115014212403140
710253616531522
oct1373023616104
9323310636566
10102413311044
113a48470a440
1217a220164b0
1398717a9045
144d57787312
1529e603eb49
hex17d84f1c44

102413311044 has 96 divisors (see below), whose sum is σ = 266971600896. Its totient is φ = 30287537280.

The previous prime is 102413311009. The next prime is 102413311069. The reversal of 102413311044 is 440113314201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7525254 + ... + 7538850.

It is an arithmetic number, because the mean of its divisors is an integer number (2780954176).

Almost surely, 2102413311044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102413311044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133485800448).

102413311044 is an abundant number, since it is smaller than the sum of its proper divisors (164558289852).

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

102413311044 is a wasteful number, since it uses less digits than its factorization.

102413311044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985 (or 14983 counting only the distinct ones).

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

Adding to 102413311044 its reverse (440113314201), we get a palindrome (542526625245).

The spelling of 102413311044 in words is "one hundred two billion, four hundred thirteen million, three hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1327 1419 1892 2654 2838 3981 5308 5676 7962 13597 14597 15924 27194 29194 40791 43791 54388 57061 58388 81582 87582 114122 149567 163164 171183 175164 228244 299134 342366 448701 584671 598268 627671 684732 897402 1169342 1255342 1754013 1794804 1883013 2338684 2510684 3508026 3766026 6431381 7016052 7532052 12862762 18043219 19294143 25725524 36086438 38588286 54129657 72172876 77176572 108259314 198475409 216518628 396950818 595426227 775858417 793901636 1190852454 1551716834 2327575251 2381704908 3103433668 4655150502 8534442587 9310301004 17068885174 25603327761 34137770348 51206655522 102413311044