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10112000011022 = 2713438346133769
BaseRepresentation
bin1001001100100110001000…
…1010110010101100001110
31022210200211200000022112202
42103021202022302230032
52311133334000323042
633301215542001502
72062365533623550
oct223114212625416
938720750008482
1010112000011022
113249525428aa8
121173934416292
13584732b047b0
1426d5cdbb14d0
15128082901632
hex932622b2b0e

10112000011022 has 128 divisors (see below), whose sum is σ = 19375114429440. Its totient is φ = 3851756375040.

The previous prime is 10112000011021. The next prime is 10112000011031. The reversal of 10112000011022 is 22011000021101.

It is a junction number, because it is equal to n+sod(n) for n = 10112000010994 and 10112000011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112000011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299429354 + ... + 299463122.

It is an arithmetic number, because the mean of its divisors is an integer number (151368081480).

Almost surely, 210112000011022 is an apocalyptic number.

10112000011022 is a deficient number, since it is larger than the sum of its proper divisors (9263114418418).

10112000011022 is a wasteful number, since it uses less digits than its factorization.

10112000011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34378.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112000011022 its reverse (22011000021101), we get a palindrome (32123000032123).

The spelling of 10112000011022 in words is "ten trillion, one hundred twelve billion, eleven thousand, twenty-two".

Divisors: 1 2 7 13 14 26 43 83 86 91 166 182 301 461 559 581 602 922 1079 1118 1162 2158 3227 3569 3913 5993 6454 7138 7553 7826 11986 15106 19823 24983 33769 38263 39646 41951 46397 49966 67538 76526 83902 92794 138761 236383 257699 267841 277522 324779 438997 472766 497419 515398 535682 649558 877994 994838 1452067 1645309 1803893 2802827 2904134 3072979 3290618 3481933 3607786 5605654 6145958 6963866 10164469 11517163 15567509 18876871 19619789 20328938 21389017 23034326 31135018 36436751 37753742 39239578 42778034 72873502 108972563 120521561 132138097 149723119 202377617 217945126 241043122 255057257 264276194 299446238 404755234 510114514 669402887 843650927 1292103247 1338805774 1416643319 1566780293 1687301854 2584206494 2833286638 3133560586 4685820209 8702237531 9044722729 9371640418 10967462051 16797342211 17404475062 18089445458 21934924102 33594684422 55560439621 60915662717 111120879242 117581395477 121831325434 235162790954 388923077347 722285715073 777846154694 1444571430146 5056000005511 10112000011022