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22001012101012 = 22737127636726263
BaseRepresentation
bin1010000000010100000101…
…00000101100111110010100
32212220021110100202102012111
411000022002200230332110
510340431033044213022
6114443043032000404
74430343406160530
oct500120240547624
985807410672174
1022001012101012
11701263884733a
122573b3a530104
13c378c0431239
14560bd72c8bc0
1528246bb35477
hex14028282cf94

22001012101012 has 96 divisors (see below), whose sum is σ = 45555993018368. Its totient is φ = 9100153609344.

The previous prime is 22001012100979. The next prime is 22001012101093. The reversal of 22001012101012 is 21010121010022.

It is a junction number, because it is equal to n+sod(n) for n = 22001012100983 and 22001012101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837705793 + ... + 837732055.

Almost surely, 222001012101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001012101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22777996509184).

22001012101012 is an abundant number, since it is smaller than the sum of its proper divisors (23554980917356).

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

22001012101012 is a wasteful number, since it uses less digits than its factorization.

22001012101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32805 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22001012101012 its reverse (21010121010022), we get a palindrome (43011133111034).

The spelling of 22001012101012 in words is "twenty-two trillion, one billion, twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 37 74 127 148 254 259 508 518 889 1036 1778 3556 4699 6367 9398 12734 18796 25468 26263 32893 44569 52526 65786 89138 105052 131572 178276 183841 235579 367682 471158 735364 808609 942316 971731 1617218 1649053 1943462 3234436 3298106 3335401 3886924 5660263 6596212 6670802 6802117 11320526 13341604 13604234 22641052 23347807 27208468 29918533 46695614 59837066 93391228 119674132 123409837 167216521 209429731 246819674 334433042 418859462 493639348 668866084 837718924 863868859 1170515647 1727737718 2341031294 3455475436 4682062588 6187011277 12374022554 21236498167 24748045108 42472996334 43309078939 84945992668 86618157878 148655487169 173236315756 297310974338 594621948676 785750432179 1571500864358 3143001728716 5500253025253 11000506050506 22001012101012