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10020002020112 = 24717231759130079
BaseRepresentation
bin1001000111001111011010…
…1010010011101100010000
31022110220101011120011011002
42101303312222103230100
52303131431004120422
633151043025441132
72052630663613610
oct221636652235420
938426334504132
1010020002020112
113213505a12857
121159b3a4a01a8
13578b6108c796
14268d837bca40
1512599ae5c692
hex91cf6a93b10

10020002020112 has 160 divisors (see below), whose sum is σ = 24527801548800. Its totient is φ = 3863728687104.

The previous prime is 10020002020081. The next prime is 10020002020153. The reversal of 10020002020112 is 21102020002001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10020002020093 and 10020002020102.

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, 76965089 + ... + 77095167.

It is an arithmetic number, because the mean of its divisors is an integer number (153298759680).

Almost surely, 210020002020112 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 10020002020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263900774400).

10020002020112 is an abundant number, since it is smaller than the sum of its proper divisors (14507799528688).

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

10020002020112 is a wasteful number, since it uses less digits than its factorization.

10020002020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131893 (or 131887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020002020112 its reverse (21102020002001), we get a palindrome (31122022022113).

The spelling of 10020002020112 in words is "ten trillion, twenty billion, two million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 952 1288 1564 1759 1904 2576 2737 3128 3518 5474 6256 7036 10948 12313 14072 21896 24626 28144 29903 40457 43792 49252 59806 80914 98504 119612 130079 161828 197008 209321 239224 260158 283199 323656 418642 478448 520316 566398 647312 687769 837284 910553 1040632 1132796 1375538 1674568 1821106 2081264 2211343 2265592 2751076 2991817 3349136 3642212 4422686 4531184 4814383 5502152 5983634 7284424 8845372 9628766 11004304 11967268 14568848 15479401 17690744 19257532 20942719 23934536 30958802 35381488 38515064 41885438 47869072 50860889 61917604 77030128 83770876 101721778 123835208 167541752 203443556 228808961 247670416 335083504 356026223 406887112 457617922 712052446 813774224 915235844 1424104892 1601662727 1830471688 2848209784 3203325454 3660943376 3889752337 5262606103 5696419568 6406650908 7779504674 10525212206 12813301816 15559009348 21050424412 25626603632 27228266359 31118018696 36838242721 42100848824 54456532718 62236037392 73676485442 84201697648 89464303751 108913065436 147352970884 178928607502 217826130872 294705941768 357857215004 435652261744 589411883536 626250126257 715714430008 1252500252514 1431428860016 2505000505028 5010001010056 10020002020112