Search a number
-
+
10355102633214 = 2322345007555743
BaseRepresentation
bin1001011010101111110000…
…1101101100110011111110
31100122221022220111002001200
42112223330031230303332
52324124222233230324
634005022442520330
72116063045050243
oct226537415546376
940587286432050
1010355102633214
113332635530209
1211b2a7ab060a6
135a1635c0b931
1427b29253b5ca
1512e55ee22ec9
hex96afc36ccfe

10355102633214 has 48 divisors (see below), whose sum is σ = 23412098691072. Its totient is φ = 3301547627664.

The previous prime is 10355102633179. The next prime is 10355102633243. The reversal of 10355102633214 is 41233620155301.

10355102633214 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 1 + 0 + 2 + 633 + 2 + 14 = 666.

It is a super-3 number, since 3×103551026332143 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18355027 + ... + 18910769.

It is an arithmetic number, because the mean of its divisors is an integer number (487752056064).

Almost surely, 210355102633214 is an apocalyptic number.

10355102633214 is an abundant number, since it is smaller than the sum of its proper divisors (13056996057858).

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

10355102633214 is a wasteful number, since it uses less digits than its factorization.

10355102633214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600781 (or 600778 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10355102633214 its reverse (41233620155301), we get a palindrome (51588722788515).

The spelling of 10355102633214 in words is "ten trillion, three hundred fifty-five billion, one hundred two million, six hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 45007 90014 135021 270042 405063 555743 810126 1035161 1111486 1667229 2070322 3105483 3334458 5001687 6210966 9316449 10003374 12782089 18632898 25564178 38346267 76692534 115038801 230077602 25012325201 50024650402 75036975603 150073951206 225110926809 450221853618 575283479623 1150566959246 1725850438869 3451700877738 5177551316607 10355102633214