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11320450116102 = 2333787723572741
BaseRepresentation
bin1010010010111011111101…
…1010000110101000000110
31111002020001122002020112000
42210232333122012220012
52440433240212203402
640024313141410130
72245606210214511
oct244567732065006
944066048066460
1011320450116102
113674a80a70106
121329b8ba09946
1364168ac6807a
142b1cac68bd78
1514970e396c1c
hexa4bbf686a06

11320450116102 has 128 divisors (see below), whose sum is σ = 25886337540480. Its totient is φ = 3664417605120.

The previous prime is 11320450116007. The next prime is 11320450116113. The reversal of 11320450116102 is 20161105402311.

11320450116102 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 45 + 0 + 1 + 1 + 610 + 2 = 666.

11320450116102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4130042452 + ... + 4130045192.

It is an arithmetic number, because the mean of its divisors is an integer number (202237012035).

Almost surely, 211320450116102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320450116102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943168770240).

11320450116102 is an abundant number, since it is smaller than the sum of its proper divisors (14565887424378).

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

11320450116102 is a wasteful number, since it uses less digits than its factorization.

11320450116102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11320450116102 its reverse (20161105402311), we get a palindrome (31481555518413).

The spelling of 11320450116102 in words is "eleven trillion, three hundred twenty billion, four hundred fifty million, one hundred sixteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 877 999 1754 1998 2357 2631 2741 4714 5262 5482 7071 7893 8223 14142 15786 16446 21213 23679 24669 32449 42426 47358 49338 63639 64898 74007 87209 97347 101417 127278 148014 174418 194694 202834 261627 292041 304251 523254 584082 608502 784881 876123 912753 1569762 1752246 1825506 2067089 2354643 2403857 2738259 4134178 4709286 4807714 5476518 6201267 6460537 7211571 12402534 12921074 14423142 18603801 19381611 21634713 37207602 38763222 43269426 55811403 58144833 64904139 76482293 88942709 111622806 116289666 129808278 152964586 174434499 177885418 229446879 239039869 266828127 348868998 458893758 478079738 533656254 688340637 717119607 800484381 1376681274 1434239214 1600968762 2065021911 2151358821 2401453143 4130043822 4302717642 4802906286 5665890949 6454076463 11331781898 12908152926 16997672847 33995345694 50993018541 101986037082 152979055623 209637965113 305958111246 419275930226 628913895339 1257827790678 1886741686017 3773483372034 5660225058051 11320450116102