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1001001100220 = 2251117267647353
BaseRepresentation
bin11101001000100000101…
…00001010001110111100
310112200202111011120210222
432210100110022032330
5112400022240201340
62043504211320512
7132214511651402
oct16442024121674
93480674146728
101001001100220
11356582030350
121420012b0138
13735177cc734
143663d39d472
151b0895b38b5
hexe91050a3bc

1001001100220 has 48 divisors (see below), whose sum is σ = 2428096795488. Its totient is φ = 342588610560.

The previous prime is 1001001100207. The next prime is 1001001100291. The reversal of 1001001100220 is 220011001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001001100198 and 1001001100207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133819937 + ... + 133827416.

It is an arithmetic number, because the mean of its divisors is an integer number (50585349906).

Almost surely, 21001001100220 is an apocalyptic number.

1001001100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001100220 is an abundant number, since it is smaller than the sum of its proper divisors (1427095695268).

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

1001001100220 is a wasteful number, since it uses less digits than its factorization.

1001001100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267647390 (or 267647388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001001100220 its reverse (220011001001), we get a palindrome (1221012101221).

The spelling of 1001001100220 in words is "one trillion, one billion, one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 267647353 535294706 1070589412 1338236765 2676473530 2944120883 4550005001 5352947060 5888241766 9100010002 11776483532 14720604415 18200020004 22750025005 29441208830 45500050010 50050055011 58882417660 91000100020 100100110022 200200220044 250250275055 500500550110 1001001100220