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1102022200092 = 22311101541152791
BaseRepresentation
bin10000000010010101101…
…001000100101100011100
310220100111211012011202110
4100002111221010230130
5121023420140400332
62202132332154020
7142422065100432
oct20022551045434
93810454164673
101102022200092
11395401890940
121596b5008910
137cbc6a26288
143b4a3ca0d52
151d9ed29b4cc
hex10095a44b1c

1102022200092 has 96 divisors (see below), whose sum is σ = 2838176183808. Its totient is φ = 330026400000.

The previous prime is 1102022200067. The next prime is 1102022200093. The reversal of 1102022200092 is 2900022202011.

It is a happy number.

It is a super-2 number, since 2×11020222000922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102022200093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7136217 + ... + 7289007.

It is an arithmetic number, because the mean of its divisors is an integer number (29564335248).

Almost surely, 21102022200092 is an apocalyptic number.

1102022200092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102022200092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419088091904).

1102022200092 is an abundant number, since it is smaller than the sum of its proper divisors (1736153983716).

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

1102022200092 is a wasteful number, since it uses less digits than its factorization.

1102022200092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153451 (or 153449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 1102022200092 in words is "one trillion, one hundred two billion, twenty-two million, two hundred thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 541 606 1082 1111 1212 1623 2164 2222 3246 3333 4444 5951 6492 6666 11902 13332 17853 23804 35706 54641 71412 109282 152791 163923 218564 305582 327846 458373 601051 611164 655692 916746 1202102 1680701 1803153 1833492 2404204 3361402 3606306 5042103 6722804 7212612 10084206 15431891 20168412 30863782 46295673 61727564 82659931 92591346 165319862 169750801 185182692 247979793 330639724 339501602 495959586 509252403 679003204 909259241 991919172 1018504806 1818518482 2037009612 2727777723 3637036964 5455555446 8348653031 10911110892 16697306062 25045959093 33394612124 50091918186 91835183341 100183836372 183670366682 275505550023 367340733364 551011100046 1102022200092