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112021021021122 = 2361931130444781
BaseRepresentation
bin11001011110000111101101…
…001010100101001111000010
3112200122002211120011011000000
4121132013231022211033002
5104140323022340133442
61034125425134140430
732411152220663523
oct3136075512451702
9480562746134000
10112021021021122
1132769936a91304
1210692511351716
134a676c98ca765
141d93bbc53684a
15ce3dccde0d4c
hex65e1ed2a53c2

112021021021122 has 112 divisors (see below), whose sum is σ = 273746201713920. Its totient is φ = 34233928063200.

The previous prime is 112021021021093. The next prime is 112021021021123. The reversal of 112021021021122 is 221120120120211.

112021021021122 is a `hidden beast` number, since 1 + 12 + 0 + 210 + 210 + 211 + 22 = 666.

It is a super-2 number, since 2×1120210210211222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112021021021095 and 112021021021104.

It is not an unprimeable number, because it can be changed into a prime (112021021021123) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64363629 + ... + 66081152.

Almost surely, 2112021021021122 is an apocalyptic number.

112021021021122 is an abundant number, since it is smaller than the sum of its proper divisors (161725180692798).

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

112021021021122 is a wasteful number, since it uses less digits than its factorization.

112021021021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130444851 (or 130444836 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112021021021122 its reverse (221120120120211), we get a palindrome (333141141141333).

The spelling of 112021021021122 in words is "one hundred twelve trillion, twenty-one billion, twenty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 243 279 342 486 513 558 589 729 837 1026 1178 1458 1539 1674 1767 2511 3078 3534 4617 5022 5301 7533 9234 10602 13851 15066 15903 22599 27702 31806 45198 47709 95418 143127 286254 429381 858762 130444781 260889562 391334343 782668686 1174003029 2348006058 2478450839 3522009087 4043788211 4956901678 7044018174 7435352517 8087576422 10566027261 12131364633 14870705034 21132054522 22306057551 24262729266 31698081783 36394093899 44612115102 63396163566 66918172653 72788187798 76831976009 95094245349 109182281697 133836345306 153663952018 190188490698 200754517959 218364563394 230495928027 327546845091 401509035918 460991856054 602263553877 655093690182 691487784081 982640535273 1204527107754 1382975568162 1806790661631 1965281070546 2074463352243 2947921605819 3613581323262 4148926704486 5895843211638 6223390056729 12446780113458 18670170170187 37340340340374 56010510510561 112021021021122