Search a number
-
+
10000100001112 = 23131761621114929
BaseRepresentation
bin1001000110000101010001…
…1010001000010101011000
31022102000000011101211120021
42101201110122020111120
52302320201100013422
633133552120240224
72051324541342604
oct221412432102530
938360004354507
1010000100001112
113206022826371
121156105310074
1357700ba9c690
14268016520504
151251d3ae7dc7
hex91854688558

10000100001112 has 128 divisors (see below), whose sum is σ = 21735755697600. Its totient is φ = 4271748710400.

The previous prime is 10000100001097. The next prime is 10000100001187. The reversal of 10000100001112 is 21110000100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000100001095 and 10000100001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669836464 + ... + 669851392.

Almost surely, 210000100001112 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 10000100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867877848800).

10000100001112 is an abundant number, since it is smaller than the sum of its proper divisors (11735655696488).

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

10000100001112 is a wasteful number, since it uses less digits than its factorization.

10000100001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21237 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000100001112 its reverse (21110000100001), we get a palindrome (31110100101113).

The spelling of 10000100001112 in words is "ten trillion, one hundred million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 61 68 104 122 136 221 244 442 488 793 884 1037 1586 1768 2074 3172 4148 6211 6344 8296 12422 13481 14929 24844 26962 29858 49688 53924 59716 80743 105587 107848 119432 161486 194077 211174 253793 322972 378871 388154 422348 507586 645944 757742 776308 844696 910669 1015172 1372631 1515484 1552616 1821338 2030344 2745262 3030968 3299309 3642676 4925323 5490524 6440807 6598618 7285352 9850646 10981048 11838697 12881614 13197236 15481373 19701292 23677394 25763228 26394472 30962746 39402584 47354788 51526456 61925492 83730491 92724019 94709576 123850984 167460982 185448038 201257849 334921964 370896076 402515698 669843928 741792152 805031396 1205412247 1576308323 1610062792 2410824494 3152616646 4821648988 5656165159 6305233292 9643297976 11312330318 12610466584 20492008199 22624660636 40984016398 45249321272 73530147067 81968032796 96154807703 147060294134 163936065592 192309615406 294120588268 384619230812 588241176536 769238461624 1250012500139 2500025000278 5000050000556 10000100001112