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23011111116 = 223272326914759
BaseRepresentation
bin10101011011100100…
…011011000011001100
32012101200110120011200
4111123210123003030
5334111321023431
614323211545500
71443144134340
oct253344330314
965350416150
1023011111116
119839199404
12456245b290
13222947c6a6
141184181620
158ea2a6ee6
hex55b91b0cc

23011111116 has 144 divisors (see below), whose sum is σ = 69629414400. Its totient is φ = 6264948096.

The previous prime is 23011111061. The next prime is 23011111129. The reversal of 23011111116 is 61111111032.

It is a super-2 number, since 2×230111111162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551745 + ... + 1566503.

It is an arithmetic number, because the mean of its divisors is an integer number (483537600).

Almost surely, 223011111116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011111116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34814707200).

23011111116 is an abundant number, since it is smaller than the sum of its proper divisors (46618303284).

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

23011111116 is a wasteful number, since it uses less digits than its factorization.

23011111116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 23011111116 its reverse (61111111032), we get a palindrome (84122222148).

The spelling of 23011111116 in words is "twenty-three billion, eleven million, one hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 269 276 322 414 483 538 644 807 828 966 1076 1449 1614 1883 1932 2421 2898 3228 3766 4842 5649 5796 6187 7532 9684 11298 12374 14759 16947 18561 22596 24748 29518 33894 37122 43309 44277 55683 59036 67788 74244 86618 88554 103313 111366 129927 132831 173236 177108 206626 222732 259854 265662 309939 339457 389781 413252 519708 531324 619878 678914 779562 929817 1018371 1239756 1357828 1559124 1859634 2036742 2376199 3055113 3719268 3970171 4073484 4752398 6110226 7128597 7940342 9504796 11910513 12220452 14257194 15880684 21385791 23821026 27791197 28514388 35731539 42771582 47642052 55582394 71463078 83373591 85543164 91313933 111164788 142926156 166747182 182627866 250120773 273941799 333494364 365255732 500241546 547883598 639197531 821825397 1000483092 1095767196 1278395062 1643650794 1917592593 2556790124 3287301588 3835185186 5752777779 7670370372 11505555558 23011111116