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1102100021022 = 23711131211315149
BaseRepresentation
bin10000000010011010010…
…001111011111100011110
310220100201020121220000010
4100002122101323330132
5121024100101133042
62202144152144050
7142424031416550
oct20023221737436
93810636556003
101102100021022
11395441803960
12159717098026
137cc09ba2870
143b4b035b4d0
151da0501e59c
hex1009a47bf1e

1102100021022 has 128 divisors (see below), whose sum is σ = 2959925068800. Its totient is φ = 264200509440.

The previous prime is 1102100020993. The next prime is 1102100021023. The reversal of 1102100021022 is 2201200012011.

It is a junction number, because it is equal to n+sod(n) for n = 1102100020989 and 1102100021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102100021023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72743104 + ... + 72758252.

It is an arithmetic number, because the mean of its divisors is an integer number (23124414600).

Almost surely, 21102100021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102100021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479962534400).

1102100021022 is an abundant number, since it is smaller than the sum of its proper divisors (1857825047778).

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

1102100021022 is a wasteful number, since it uses less digits than its factorization.

1102100021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27298.

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

Adding to 1102100021022 its reverse (2201200012011), we get a palindrome (3303300033033).

The spelling of 1102100021022 in words is "one trillion, one hundred two billion, one hundred million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 12113 15149 24226 30298 36339 45447 72678 84791 90894 106043 133243 157469 166639 169582 196937 212086 254373 266486 314938 318129 333278 393874 399729 472407 499917 508746 590811 636258 799458 932701 944814 999834 1102283 1166473 1181622 1378559 1732159 1865402 2166307 2204566 2332946 2757118 2798103 3306849 3464318 3499419 4135677 4332614 5196477 5596206 6498921 6613698 6998838 8271354 10392954 12125113 12997842 15164149 24250226 30328298 36375339 45492447 72750678 90984894 183499837 366999674 550499511 1100999022 1284498859 2018498207 2385497881 2568997718 3853496577 4036996414 4770995762 6055494621 7156493643 7706993154 12110989242 14129487449 14312987286 16698485167 26240476691 28258974898 33396970334 42388462347 50095455501 52480953382 78721430073 84776924694 100190911002 157442860146 183683336837 367366673674 551050010511 1102100021022