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22000020010122 = 23711107496789599
BaseRepresentation
bin1010000000010010001110…
…11000001011010010001010
32212220011220012221222100110
411000021013120023102022
510340422020110310442
6114442400352015150
74430310001430340
oct500110730132212
985804805858313
1022000020010122
117012179835810
1225739022314b6
13c37792a32ccb
14560b41639990
1528240e9b769c
hex14024760b48a

22000020010122 has 128 divisors (see below), whose sum is σ = 55381642444800. Its totient is φ = 5659683456960.

The previous prime is 22000020010037. The next prime is 22000020010219. The reversal of 22000020010122 is 22101002000022.

It is a junction number, because it is equal to n+sod(n) for n = 22000020010098 and 22000020010107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245493879 + ... + 245583477.

It is an arithmetic number, because the mean of its divisors is an integer number (432669081600).

Almost surely, 222000020010122 is an apocalyptic number.

22000020010122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000020010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27690821222400).

22000020010122 is an abundant number, since it is smaller than the sum of its proper divisors (33381622434678).

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

22000020010122 is a wasteful number, since it uses less digits than its factorization.

22000020010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94696.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22000020010122 its reverse (22101002000022), we get a palindrome (44101022010144).

The spelling of 22000020010122 in words is "twenty-two trillion, twenty million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 107 154 214 231 321 462 642 749 1177 1498 2247 2354 3531 4494 4967 7062 8239 9934 14901 16478 24717 29802 34769 49434 54637 69538 89599 104307 109274 163911 179198 208614 268797 327822 382459 531469 537594 627193 764918 985589 1062938 1147377 1254386 1594407 1881579 1971178 2294754 2956767 3188814 3720283 3763158 5846159 5913534 6899123 7440566 9587093 11160849 11692318 13798246 17538477 19174186 20697369 22321698 28761279 35076954 40923113 41394738 57522558 67109651 81846226 105458023 122769339 134219302 201328953 210916046 245538678 316374069 402657906 445038233 632748138 738206161 890076466 1335114699 1476412322 2214618483 2670229398 3115267631 4429236966 4895420563 6230535262 9345802893 9790841126 14686261689 18691605786 29372523378 34267943941 47619090931 68535887882 95238181862 102803831823 142857272793 205607663646 285714545586 333333636517 523810000241 666667273034 1000000909551 1047620000482 1571430000723 2000001819102 3142860001446 3666670001687 7333340003374 11000010005061 22000020010122