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22001221110102 = 2313232774168881
BaseRepresentation
bin1010000000010100011101…
…11110000000100101010110
32212220021222221001011202220
411000022032332000211112
510340432000101010402
6114443115455443210
74430351524546503
oct500121676004526
985807887034686
1022001221110102
117012735822a23
122573b98526506
13c37924821060
14560c16d744aa
1528248016ddbc
hex14028ef80956

22001221110102 has 96 divisors (see below), whose sum is σ = 49544257985376. Its totient is φ = 6474345292800.

The previous prime is 22001221110101. The next prime is 22001221110137. The reversal of 22001221110102 is 20101112210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001221110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319374702 + ... + 319443582.

It is an arithmetic number, because the mean of its divisors is an integer number (516086020681).

Almost surely, 222001221110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001221110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772128992688).

22001221110102 is an abundant number, since it is smaller than the sum of its proper divisors (27543036875274).

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

22001221110102 is a wasteful number, since it uses less digits than its factorization.

22001221110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76686 (or 76663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22001221110102 its reverse (20101112210022), we get a palindrome (42102333320124).

The spelling of 22001221110102 in words is "twenty-two trillion, one billion, two hundred twenty-one million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 529 598 897 1058 1587 1794 3174 6877 7741 13754 15482 20631 23223 41262 46446 68881 100633 137762 178043 201266 206643 301899 356086 413286 534129 603798 895453 1068258 1584263 1790906 2314559 2686359 3168526 4094989 4629118 4752789 5372718 6943677 8189978 9505578 12284967 13887354 20595419 24569934 36438049 41190838 53234857 61786257 72876098 106469714 109314147 123572514 159704571 218628294 319409142 473694637 533207821 947389274 1066415642 1421083911 1599623463 2842167822 3199246926 6931701673 12263779883 13863403346 20795105019 24527559766 36791339649 41590210038 73582679298 159429138479 282066937309 318858276958 478287415437 564133874618 846200811927 956574830874 1692401623854 3666870185017 7333740370034 11000610555051 22001221110102