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22000100012121 = 3711297173962591
BaseRepresentation
bin1010000000010010011000…
…01001010111000001011001
32212220012002210111111110110
411000021030021113001121
510340422201100341441
6114442412330434533
74430311662432330
oct500111411270131
985805083444413
1022000100012121
11701220aa08470
122573924b92a49
13c377a649427a
14560b4c102d17
15282416a1bb16
hex14024c257059

22000100012121 has 128 divisors (see below), whose sum is σ = 38418068275200. Its totient is φ = 10864221984000.

The previous prime is 22000100012117. The next prime is 22000100012123. The reversal of 22000100012121 is 12121000100022.

It is not a de Polignac number, because 22000100012121 - 22 = 22000100012117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22000100012097 and 22000100012106.

It is not an unprimeable number, because it can be changed into a prime (22000100012123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351458536 + ... + 351521126.

It is an arithmetic number, because the mean of its divisors is an integer number (300141158400).

Almost surely, 222000100012121 is an apocalyptic number.

22000100012121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22000100012121 is a deficient number, since it is larger than the sum of its proper divisors (16417968263079).

22000100012121 is a wasteful number, since it uses less digits than its factorization.

22000100012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63451.

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

Adding to 22000100012121 its reverse (12121000100022), we get a palindrome (34121100112143).

The spelling of 22000100012121 in words is "twenty-two trillion, one hundred million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 29 33 71 77 87 203 213 231 319 497 609 739 781 957 1491 2059 2217 2233 2343 5173 5467 6177 6699 8129 14413 15519 16401 21431 22649 24387 43239 52469 56903 62591 64293 67947 150017 157407 158543 170709 187773 235741 367283 438137 450051 475629 577159 688501 707223 1101849 1314411 1521601 1650187 1731477 1815139 2065503 4040113 4443961 4564803 4819507 4950561 5445417 10651207 12120339 12705973 13331883 14458521 16737611 19966529 31107727 31953621 38117919 46254749 48883571 50212833 59899587 93323181 117163277 128874869 138764247 139765703 146650713 323783243 342184997 351489831 386624607 419297109 508802239 902124083 971349729 1026554991 1341387721 1417623559 1526406717 2706372249 3284087179 3561615673 4024163163 4252870677 9389714047 9852261537 9923364913 10684847019 14755264931 22988610253 28169142141 29770094739 36124958969 44265794793 68965830759 95238528191 103286854517 108374876907 252874712783 285715584573 309860563551 666669697337 758624138349 1047623810101 2000009092011 3142871430303 7333366670707 22000100012121