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21110113014112 = 2531371795732029
BaseRepresentation
bin1001100110011000101001…
…10010011001000101100000
32202202002220001221121201201
410303030110302121011200
510231332002412422422
6112521504012410544
74306104164655403
oct463142462310540
982662801847651
1021110113014112
1167a9826503231
12244b346176a54
13ba18a12c8715
1452da408a5d3a
152691c85ba727
hex133314c99160

21110113014112 has 96 divisors (see below), whose sum is σ = 44064518641920. Its totient is φ = 9937637591040.

The previous prime is 21110113014031. The next prime is 21110113014119. The reversal of 21110113014112 is 21141031101112.

It is a super-2 number, since 2×211101130141122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21110113014112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110113014119) 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, 659077714 + ... + 659109742.

It is an arithmetic number, because the mean of its divisors is an integer number (459005402520).

Almost surely, 221110113014112 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 21110113014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032259320960).

21110113014112 is an abundant number, since it is smaller than the sum of its proper divisors (22954405627808).

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

21110113014112 is a wasteful number, since it uses less digits than its factorization.

21110113014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50064 (or 50056 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 21110113014112 its reverse (21141031101112), we get a palindrome (42251144115224).

The spelling of 21110113014112 in words is "twenty-one trillion, one hundred ten billion, one hundred thirteen million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 17957 18352 32029 35914 36704 64058 71828 128116 143656 256232 287312 512464 556667 574624 664409 992899 1024928 1113334 1185073 1328818 1985798 2226668 2370146 2657636 3971596 4453336 4740292 5315272 7943192 8906672 9480584 10630544 15886384 17813344 18961168 20596679 21261088 31772768 36737263 37922336 41193358 73474526 82386716 146949052 164773432 293898104 329546864 575144753 587796208 659093728 1150289506 1175592416 2300579012 4601158024 9202316048 17829487343 18404632096 21280355861 35658974686 42560711722 71317949372 85121423444 142635898744 170242846888 285271797488 340485693776 570543594976 659691031691 680971387552 1319382063382 2638764126764 5277528253528 10555056507056 21110113014112