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100020202011 = 32371721174527
BaseRepresentation
bin101110100100110101…
…0110010101000011011
3100120011120122201012100
41131021222302220123
53114320132431021
6113540524014443
710140410455332
oct1351152625033
9316146581170
10100020202011
1139466884184
1217474691423
13957ca63ab2
144bab9dcd19
152905dca626
hex1749ab2a1b

100020202011 has 24 divisors (see below), whose sum is σ = 148465384704. Its totient is φ = 64839899520.

The previous prime is 100020201977. The next prime is 100020202027. The reversal of 100020202011 is 110202020001.

It is not a de Polignac number, because 100020202011 - 211 = 100020199963 is a prime.

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 = 100020201984 and 100020202002.

It is not an unprimeable number, because it can be changed into a prime (100020200011) 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 23 ways as a sum of consecutive naturals, for example, 485830 + ... + 660356.

It is an arithmetic number, because the mean of its divisors is an integer number (6186057696).

Almost surely, 2100020202011 is an apocalyptic number.

100020202011 is a deficient number, since it is larger than the sum of its proper divisors (48445182693).

100020202011 is a wasteful number, since it uses less digits than its factorization.

100020202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176291 (or 176288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020202011 its reverse (110202020001), we get a palindrome (210222222012).

The spelling of 100020202011 in words is "one hundred billion, twenty million, two hundred two thousand, eleven".

Divisors: 1 3 9 37 111 333 1721 5163 15489 63677 174527 191031 523581 573093 1570743 6457499 19372497 58117491 300360967 901082901 2703248703 11113355779 33340067337 100020202011