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11002210210100 = 22522549291714797
BaseRepresentation
bin1010000000011010011011…
…0101001101000100110100
31102221210121221112222120202
42200012212311031010310
52420230011303210400
635222202352020032
72213612011515464
oct240064665150464
942853557488522
1011002210210100
11356201392252a
121298375b31618
1361a6722bba95
142a071cd0dba4
151412d57414d5
hexa01a6d4d134

11002210210100 has 72 divisors (see below), whose sum is σ = 23893965089400. Its totient is φ = 4397352261120.

The previous prime is 11002210210037. The next prime is 11002210210139. The reversal of 11002210210100 is 101201220011.

It can be written as a sum of positive squares in 12 ways, for example, as 7388777764 + 10994821432336 = 85958^2 + 3315844^2 .

It is a super-2 number, since 2×110022102101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743535902 + ... + 743550698.

Almost surely, 211002210210100 is an apocalyptic number.

11002210210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002210210100 is an abundant number, since it is smaller than the sum of its proper divisors (12891754879300).

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

11002210210100 is a wasteful number, since it uses less digits than its factorization.

11002210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11002210210100 its reverse (101201220011), we get a palindrome (11103411430111).

The spelling of 11002210210100 in words is "eleven trillion, two billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2549 2917 5098 5834 10196 11668 12745 14585 14797 25490 29170 29594 50980 58340 59188 63725 72925 73985 127450 145850 147970 254900 291700 295940 369925 739850 1479700 7435433 14870866 29741732 37177165 37717553 43162849 74354330 75435106 86325698 148708660 150870212 172651396 185885825 188587765 215814245 371771650 377175530 431628490 743543300 754351060 863256980 942938825 1079071225 1885877650 2158142450 3771755300 4316284900 110022102101 220044204202 440088408404 550110510505 1100221021010 2200442042020 2750552552525 5501105105050 11002210210100