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100110002211 = 3241449360383
BaseRepresentation
bin101110100111100000…
…1010110100000100011
3100120101211122000220200
41131033001112200203
53120011130032321
6113553452440243
710142550656442
oct1351701264043
9316354560820
10100110002211
113950253941a
121749a779083
139595545acb
144bb98d6d59
15290dc17d26
hex174f056823

100110002211 has 24 divisors (see below), whose sum is σ = 148165670016. Its totient is φ = 65096626560.

The previous prime is 100110002149. The next prime is 100110002221. The reversal of 100110002211 is 112200011001.

It is a happy number.

It is not a de Polignac number, because 100110002211 - 218 = 100109740067 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 = 100110002193 and 100110002202.

It is not an unprimeable number, because it can be changed into a prime (100110002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627726 + ... + 1688108.

It is an arithmetic number, because the mean of its divisors is an integer number (6173569584).

Almost surely, 2100110002211 is an apocalyptic number.

100110002211 is a deficient number, since it is larger than the sum of its proper divisors (48055667805).

100110002211 is a wasteful number, since it uses less digits than its factorization.

100110002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64923 (or 64920 counting only the distinct ones).

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

Adding to 100110002211 its reverse (112200011001), we get a palindrome (212310013212).

The spelling of 100110002211 in words is "one hundred billion, one hundred ten million, two thousand, two hundred eleven".

Divisors: 1 3 9 41 123 369 4493 13479 40437 60383 181149 184213 543447 552639 1657917 2475703 7427109 22281327 271300819 813902457 2441707371 11123333579 33370000737 100110002211