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10012112022 = 231117531011667
BaseRepresentation
bin10010101001100010…
…01011010010010110
3221211202112222200210
421110301023102112
5131001100041042
64333254150250
7503052355653
oct112461132226
927752488623
1010012112022
114278637a50
121b35052386
13c3736b453
146ad9d6c2a
153d8ea1a9c
hex254c4b496

10012112022 has 128 divisors (see below), whose sum is σ = 23813595648. Its totient is φ = 2772224000.

The previous prime is 10012112017. The next prime is 10012112023. The reversal of 10012112022 is 22021121001.

It is a junction number, because it is equal to n+sod(n) for n = 10012111989 and 10012112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6005233 + ... + 6006899.

It is an arithmetic number, because the mean of its divisors is an integer number (186043716).

Almost surely, 210012112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906797824).

10012112022 is an abundant number, since it is smaller than the sum of its proper divisors (13801483626).

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

10012112022 is a wasteful number, since it uses less digits than its factorization.

10012112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012112022 its reverse (22021121001), we get a palindrome (32033233023).

The spelling of 10012112022 in words is "ten billion, twelve million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 101 102 106 159 187 202 303 318 374 561 583 606 901 1111 1122 1166 1667 1717 1749 1802 2222 2703 3333 3334 3434 3498 5001 5151 5353 5406 6666 9911 10002 10302 10706 16059 18337 18887 19822 28339 29733 32118 36674 37774 55011 56661 56678 58883 59466 85017 88351 91001 110022 113322 117766 168367 170034 176649 176702 182002 265053 273003 311729 336734 353298 505101 530106 546006 623458 935187 971861 1001011 1010202 1501967 1852037 1870374 1943722 2002022 2862239 2915583 3003033 3003934 3704074 4505901 5556111 5724478 5831166 6006066 8586717 8923451 9011802 11112222 16521637 17173434 17846902 26770353 31484629 33043274 49564911 53540706 62969258 94453887 98157961 99129822 151698667 188907774 196315922 294473883 303397334 455096001 588947766 910192002 1668685337 3337370674 5006056011 10012112022