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111340150506 = 233131717952121
BaseRepresentation
bin110011110110001100…
…0111101111011101010
3101122101111010200021000
41213230120331323222
53311011034304011
6123052101455430
711021053443534
oct1475430757352
9348344120230
10111340150506
1143245681012
12196b3711576
13a665052080
145563196854
152d69ab9356
hex19ec63deea

111340150506 has 128 divisors (see below), whose sum is σ = 283710470400. Its totient is φ = 32062556160.

The previous prime is 111340150477. The next prime is 111340150511. The reversal of 111340150506 is 605051043111.

Adding to 111340150506 its reverse (605051043111), we get a palindrome (716391193617).

111340150506 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 0 + 150 + 506 = 666.

It is a super-2 number, since 2×1113401505062 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111340150506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2110126 + ... + 2162246.

It is an arithmetic number, because the mean of its divisors is an integer number (2216488050).

Almost surely, 2111340150506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111340150506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141855235200).

111340150506 is an abundant number, since it is smaller than the sum of its proper divisors (172370319894).

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

111340150506 is a wasteful number, since it uses less digits than its factorization.

111340150506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52341 (or 52335 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 111340150506 in words is "one hundred eleven billion, three hundred forty million, one hundred fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 179 221 234 306 351 358 442 459 537 663 702 918 1074 1326 1611 1989 2327 3043 3222 3978 4654 4833 5967 6086 6981 9129 9666 11934 13962 18258 20943 27387 39559 41886 52121 54774 62829 79118 82161 104242 118677 125658 156363 164322 237354 312726 356031 469089 677573 712062 886057 938178 1068093 1355146 1407267 1772114 2032719 2136186 2658171 2814534 4065438 5316342 6098157 7974513 9329659 11518741 12196314 15949026 18294471 18659318 23037482 23923539 27988977 34556223 36588942 47847078 55977954 69112446 83966931 103668669 121285567 158604203 167933862 207337338 242571134 251900793 311006007 317208406 363856701 475812609 503801586 622012014 727713402 951625218 1091570103 1427437827 2061854639 2183140206 2854875654 3274710309 4123709278 4282313481 6185563917 6549420618 8564626962 12371127834 18556691751 37113383502 55670075253 111340150506