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102113113168 = 24111098576211
BaseRepresentation
bin101111100011001101…
…0100111010001010000
3100202120102211121120101
41133012122213101100
53133111424110133
6114524330222144
710243313066203
oct1370632472120
9322512747511
10102113113168
113a340210320
1217959584954
13982453c171
144d2996193a
1529c99e237d
hex17c66a7450

102113113168 has 80 divisors (see below), whose sum is σ = 218099344320. Its totient is φ = 45928166400.

The previous prime is 102113113097. The next prime is 102113113169. The reversal of 102113113168 is 861311311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113113169) 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, 16437583 + ... + 16443793.

It is an arithmetic number, because the mean of its divisors is an integer number (2726241804).

Almost surely, 2102113113168 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 102113113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109049672160).

102113113168 is an abundant number, since it is smaller than the sum of its proper divisors (115986231152).

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

102113113168 is a wasteful number, since it uses less digits than its factorization.

102113113168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

Adding to 102113113168 its reverse (861311311201), we get a palindrome (963424424369).

The spelling of 102113113168 in words is "one hundred two billion, one hundred thirteen million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 857 872 1199 1714 1744 2398 3428 4796 6211 6856 9427 9592 12422 13712 18854 19184 24844 37708 49688 68321 75416 93413 99376 136642 150832 186826 273284 373652 546568 676999 747304 1027543 1093136 1353998 1494608 2055086 2707996 4110172 5322827 5415992 7446989 8220344 10645654 10831984 14893978 16440688 21291308 29787956 42582616 58551097 59575912 85165232 117102194 119151824 234204388 468408776 580188143 936817552 1160376286 2320752572 4641505144 6382069573 9283010288 12764139146 25528278292 51056556584 102113113168