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100202101110 = 2335371118893
BaseRepresentation
bin101110101010010000…
…0101011100101110110
3100120122020221010212000
41131110200223211312
53120203214213420
6114010542440130
710145046543366
oct1352440534566
9316566833760
10100202101110
113954a523711
1217505593046
1395ab6511b7
144bc7c2c9a6
152916d5b690
hex175482b976

100202101110 has 32 divisors (see below), whose sum is σ = 267205603680. Its totient is φ = 26720560224.

The previous prime is 100202101091. The next prime is 100202101117. The reversal of 100202101110 is 11101202001.

It is a happy number.

It is a super-2 number, since 2×1002021011102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100202101092 and 100202101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185559177 + ... + 185559716.

It is an arithmetic number, because the mean of its divisors is an integer number (8350175115).

Almost surely, 2100202101110 is an apocalyptic number.

100202101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202101110 is an abundant number, since it is smaller than the sum of its proper divisors (167003502570).

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

100202101110 is a wasteful number, since it uses less digits than its factorization.

100202101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371118909 (or 371118903 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100202101110 its reverse (11101202001), we get a palindrome (111303303111).

The spelling of 100202101110 in words is "one hundred billion, two hundred two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 371118893 742237786 1113356679 1855594465 2226713358 3340070037 3711188930 5566783395 6680140074 10020210111 11133566790 16700350185 20040420222 33400700370 50101050555 100202101110