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106335323024 = 2474145750671
BaseRepresentation
bin110001100001000010…
…1000100001110010000
3101011110200200002122012
41203002011010032100
53220233320314044
6120503315002052
710453042222010
oct1430205041620
9334420602565
10106335323024
1141107577057
1218737599328
13a0481c30a8
14520a5d9c40
152b7550c59e
hex18c2144390

106335323024 has 80 divisors (see below), whose sum is σ = 241732194816. Its totient is φ = 44362598400.

The previous prime is 106335323021. The next prime is 106335323063. The reversal of 106335323024 is 420323533601.

It is a super-2 number, since 2×1063353230242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106335323021) 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, 2073209 + ... + 2123879.

Almost surely, 2106335323024 is an apocalyptic number.

106335323024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106335323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120866097408).

106335323024 is an abundant number, since it is smaller than the sum of its proper divisors (135396871792).

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

106335323024 is a wasteful number, since it uses less digits than its factorization.

106335323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51184 (or 51178 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 106335323024 its reverse (420323533601), we get a palindrome (526658856625).

The spelling of 106335323024 in words is "one hundred six billion, three hundred thirty-five million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 457 574 656 914 1148 1828 2296 3199 3656 4592 6398 7312 12796 18737 25592 37474 50671 51184 74948 101342 131159 149896 202684 262318 299792 354697 405368 524636 709394 810736 1049272 1418788 2077511 2098544 2837576 4155022 5675152 8310044 14542577 16620088 23156647 29085154 33240176 46313294 58170308 92626588 116340616 162096529 185253176 232681232 324193058 370506352 648386116 949422527 1296772232 1898845054 2593544464 3797690108 6645957689 7595380216 13291915378 15190760432 26583830756 53167661512 106335323024