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22010110201002 = 23711413191364141
BaseRepresentation
bin1010000000100101000001…
…10011001100110010101010
32212221010221102102210002210
411000102200303030302222
510341103201202413002
6114451145515505550
74431115022561430
oct500224063146252
985833842383083
1022010110201002
117016487451540
1225758594582b6
13c3871030b261
1456141b758d50
1528280073d96c
hex1404a0ccccaa

22010110201002 has 128 divisors (see below), whose sum is σ = 56238719717376. Its totient is φ = 5575711680000.

The previous prime is 22010110200913. The next prime is 22010110201099. The reversal of 22010110201002 is 20010201101022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60261852 + ... + 60625992.

It is an arithmetic number, because the mean of its divisors is an integer number (439364997792).

Almost surely, 222010110201002 is an apocalyptic number.

22010110201002 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 22010110201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119359858688).

22010110201002 is an abundant number, since it is smaller than the sum of its proper divisors (34228609516374).

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

22010110201002 is a wasteful number, since it uses less digits than its factorization.

22010110201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367396.

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

Adding to 22010110201002 its reverse (20010201101022), we get a palindrome (42020311302024).

The spelling of 22010110201002 in words is "twenty-two trillion, ten billion, one hundred ten million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 287 451 462 574 861 902 1353 1722 2706 3157 3191 6314 6382 9471 9573 18942 19146 22337 35101 44674 67011 70202 105303 130831 134022 210606 245707 261662 364141 392493 491414 728282 737121 784986 915817 1092423 1439141 1474242 1831634 2184846 2548987 2747451 2878282 4005551 4317423 5097974 5494902 7646961 8011102 8634846 10073987 12016653 14929781 15293922 20147974 24033306 28038857 29859562 30221961 44789343 56077714 60443922 84116571 89578686 104508467 164227591 168233142 209016934 313525401 328455182 492682773 627050802 985365546 1149593137 1161973931 2299186274 2323947862 3448779411 3485921793 6897558822 6971843586 8133817517 12781713241 16267635034 24401452551 25563426482 38345139723 47640931171 48802905102 76690279446 89471992687 95281862342 142922793513 178943985374 268415978061 285845587026 333486518197 524050242881 536831956122 666973036394 1000459554591 1048100485762 1572150728643 2000919109182 3144301457286 3668351700167 7336703400334 11005055100501 22010110201002