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10022202010100 = 2252722045347349
BaseRepresentation
bin1001000111010111100111…
…0010100110100111110100
31022111010001111020020001202
42101311321302212213310
52303200432203310400
633152045215112032
72053036336331600
oct221657162464764
938433044206052
1010022202010100
1132144348358a5
12115a453212618
13579121ab96c7
14269111a56500
15125a791764d5
hex91d79ca69f4

10022202010100 has 54 divisors (see below), whose sum is σ = 25298901372150. Its totient is φ = 3436183544640.

The previous prime is 10022202010013. The next prime is 10022202010133. The reversal of 10022202010100 is 101020222001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1101383083024 + 8920818927076 = 1049468^2 + 2986774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1022668775 + ... + 1022678574.

Almost surely, 210022202010100 is an apocalyptic number.

10022202010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022202010100 is an abundant number, since it is smaller than the sum of its proper divisors (15276699362050).

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

10022202010100 is a wasteful number, since it uses less digits than its factorization.

10022202010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045347377 (or 2045347363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022202010100 its reverse (101020222001), we get a palindrome (10123222232101).

The spelling of 10022202010100 in words is "ten trillion, twenty-two billion, two hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2045347349 4090694698 8181389396 10226736745 14317431443 20453473490 28634862886 40906946980 51133683725 57269725772 71587157215 100222020101 102267367450 143174314430 200444040202 204534734900 286348628860 357935786075 400888080404 501110100505 715871572150 1002220201010 1431743144300 2004440402020 2505550502525 5011101005050 10022202010100