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1001100122200 = 235247106500013
BaseRepresentation
bin11101001000101100011…
…01111001100001011000
310112201000101111102102201
432210112031321201120
5112400223112402300
62043522105535544
7132220123431253
oct16442615714130
93481011442381
101001100122200
11356622a13aa2
1214202a4a45b4
1373532190019
143664c5b809a
151b09312366a
hexe916379858

1001100122200 has 48 divisors (see below), whose sum is σ = 2377080312480. Its totient is φ = 391920044160.

The previous prime is 1001100122173. The next prime is 1001100122251. The reversal of 1001100122200 is 22210011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53240607 + ... + 53259406.

It is an arithmetic number, because the mean of its divisors is an integer number (49522506510).

Almost surely, 21001100122200 is an apocalyptic number.

1001100122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100122200 is an abundant number, since it is smaller than the sum of its proper divisors (1375980190280).

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

1001100122200 is a wasteful number, since it uses less digits than its factorization.

1001100122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106500076 (or 106500067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001100122200 its reverse (22210011001), we get a palindrome (1023310133201).

The spelling of 1001100122200 in words is "one trillion, one billion, one hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 106500013 213000026 426000052 532500065 852000104 1065000130 2130000260 2662500325 4260000520 5005500611 5325000650 10011001222 10650001300 20022002444 21300002600 25027503055 40044004888 50055006110 100110012220 125137515275 200220024440 250275030550 500550061100 1001100122200