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23112221132 = 22711213539901
BaseRepresentation
bin10101100001100110…
…001000000111001100
32012122201201111001002
4111201212020013030
5334313212034012
614341223035432
71445512431620
oct254146100714
965581644032
1023112221132
119890278900
12459029bb78
1322443c14c0
141193781180
159040ca7c2
hex5619881cc

23112221132 has 144 divisors (see below), whose sum is σ = 55755072576. Its totient is φ = 8154432000.

The previous prime is 23112221087. The next prime is 23112221141.

23112221132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231122211322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329382 + ... + 2339282.

It is an arithmetic number, because the mean of its divisors is an integer number (387188004).

Almost surely, 223112221132 is an apocalyptic number.

23112221132 is a gapful number since it is divisible by the number (22) 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 23112221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27877536288).

23112221132 is an abundant number, since it is smaller than the sum of its proper divisors (32642851444).

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

23112221132 is a wasteful number, since it uses less digits than its factorization.

23112221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9987 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The spelling of 23112221132 in words is "twenty-three billion, one hundred twelve million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 121 143 154 182 212 242 286 308 364 371 484 572 583 689 742 847 1001 1166 1378 1484 1573 1694 2002 2332 2756 3146 3388 4004 4081 4823 6292 6413 7579 8162 9646 9901 11011 12826 15158 16324 19292 19802 22022 25652 30316 39604 44044 44891 53053 69307 83369 89782 106106 108911 128713 138614 166738 179564 212212 217822 257426 277228 333476 435644 514852 524753 583583 762377 900991 1049506 1167166 1198021 1415843 1524754 1801982 2099012 2334332 2396042 2831686 3049508 3603964 3673271 4792084 5663372 5772283 6821789 7346542 8386147 9910901 11544566 13643578 14693084 15574273 16772294 19821802 23089132 27287156 31148546 33544588 39643604 40405981 47752523 62297092 63495113 75039679 80811962 95505046 109019911 126990226 150079358 161623924 191010092 218039822 253980452 300158716 436079644 444465791 525277753 825436469 888931582 1050555506 1650872938 1777863164 2101111012 3301745876 5778055283 11556110566 23112221132