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106552340334 = 232112371322219
BaseRepresentation
bin110001100111100000…
…0111010111101101110
3101012000211000201102100
41203033000322331232
53221204344342314
6120541030235530
710461315643356
oct1431700727556
9335024021370
10106552340334
1141209022400
12187981b5ba6
13a081157cbb
14522b36bb66
152b895c8c09
hex18cf03af6e

106552340334 has 72 divisors (see below), whose sum is σ = 260617495320. Its totient is φ = 31415899680.

The previous prime is 106552340311. The next prime is 106552340341. The reversal of 106552340334 is 433043255601.

106552340334 is a `hidden beast` number, since 1 + 0 + 65 + 523 + 40 + 3 + 34 = 666.

It is a super-2 number, since 2×1065523403342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580524 + ... + 741695.

It is an arithmetic number, because the mean of its divisors is an integer number (3619687435).

Almost surely, 2106552340334 is an apocalyptic number.

106552340334 is an abundant number, since it is smaller than the sum of its proper divisors (154065154986).

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

106552340334 is a wasteful number, since it uses less digits than its factorization.

106552340334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322286 (or 1322272 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 106552340334 its reverse (433043255601), we get a palindrome (539595595935).

The spelling of 106552340334 in words is "one hundred six billion, five hundred fifty-two million, three hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 26862 40293 80586 1322219 2644438 3966657 7933314 11899971 14544409 23799942 29088818 43633227 48922103 87266454 97844206 130899681 146766309 159988499 261799362 293532618 319976998 440298927 479965497 538143133 880597854 959930994 1076286266 1439896491 1614429399 2879792982 3228858798 4843288197 5919574463 9686576394 11839148926 17758723389 35517446778 53276170167 106552340334