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10001001122020 = 2252331701332477
BaseRepresentation
bin1001000110001000101000…
…0111101000100011100100
31022102002022222000112001201
42101202022013220203210
52302324022241401040
633134221350332244
72051356062630346
oct221421207504344
938362288015051
1010001001122020
113206445453897
12115631705a084
1357712369930c
142680a008d296
15125237c96a9a
hex9188a1e88e4

10001001122020 has 48 divisors (see below), whose sum is σ = 22622180410368. Its totient is φ = 3703035473280.

The previous prime is 10001001121967. The next prime is 10001001122131. The reversal of 10001001122020 is 2022110010001.

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 = 10001001121988 and 10001001122006.

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, 350651979 + ... + 350680498.

It is an arithmetic number, because the mean of its divisors is an integer number (471295425216).

Almost surely, 210001001122020 is an apocalyptic number.

10001001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001122020 is an abundant number, since it is smaller than the sum of its proper divisors (12621179288348).

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

10001001122020 is a wasteful number, since it uses less digits than its factorization.

10001001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701332540 (or 701332538 counting only the distinct ones).

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

Adding to 10001001122020 its reverse (2022110010001), we get a palindrome (12023111132021).

The spelling of 10001001122020 in words is "ten trillion, one billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 14260 701332477 1402664954 2805329908 3506662385 7013324770 14026649540 16130646971 21741306787 32261293942 43482613574 64522587884 80653234855 86965227148 108706533935 161306469710 217413067870 322612939420 434826135740 500050056101 1000100112202 2000200224404 2500250280505 5000500561010 10001001122020