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1001101022020 = 2251142751106441
BaseRepresentation
bin11101001000101100100…
…01010101001101000100
310112201000110012010202101
432210112101111031010
5112400223330201040
62043522141121444
7132220134166531
oct16442621251504
93481013163671
101001101022020
11356623479050
1214202a859284
1373532416768
143664c76dd88
151b09325009a
hexe916455344

1001101022020 has 48 divisors (see below), whose sum is σ = 2293506625536. Its totient is φ = 364024800000.

The previous prime is 1001101022003. The next prime is 1001101022041. The reversal of 1001101022020 is 202201011001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001101021988 and 1001101022006.

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, 9352000 + ... + 9458440.

It is an arithmetic number, because the mean of its divisors is an integer number (47781388032).

Almost surely, 21001101022020 is an apocalyptic number.

1001101022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101022020 is an abundant number, since it is smaller than the sum of its proper divisors (1292405603516).

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

1001101022020 is a wasteful number, since it uses less digits than its factorization.

1001101022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149212 (or 149210 counting only the distinct ones).

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

Adding to 1001101022020 its reverse (202201011001), we get a palindrome (1203302033021).

The spelling of 1001101022020 in words is "one trillion, one billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 42751 85502 106441 171004 212882 213755 425764 427510 470261 532205 855020 940522 1064410 1170851 1881044 2128820 2341702 2351305 4683404 4702610 5854255 9405220 11708510 23417020 4550459191 9100918382 18201836764 22752295955 45504591910 50055051101 91009183820 100110102202 200220204404 250275255505 500550511010 1001101022020