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1022332020100 = 225253077192613
BaseRepresentation
bin11101110000001111011…
…11001010010110000100
310121201211002001120220121
432320013233022112010
5113222213444120400
62101353003111324
7133601224535236
oct16700757122604
93551732046817
101022332020100
11364628856156
12146174b12544
1375536b49c11
14376a4334256
151b8d70cb21a
hexee07bca584

1022332020100 has 36 divisors (see below), whose sum is σ = 2218513798564. Its totient is φ = 408922980480.

The previous prime is 1022332020077. The next prime is 1022332020167. The reversal of 1022332020100 is 10202332201.

1022332020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 329988206916 + 692343813184 = 574446^2 + 832072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5211394 + ... + 5404006.

Almost surely, 21022332020100 is an apocalyptic number.

1022332020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022332020100 is an abundant number, since it is smaller than the sum of its proper divisors (1196181778464).

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

1022332020100 is a wasteful number, since it uses less digits than its factorization.

1022332020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245704 (or 245697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1022332020100 its reverse (10202332201), we get a palindrome (1032534352301).

The spelling of 1022332020100 in words is "one trillion, twenty-two billion, three hundred thirty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 53077 106154 192613 212308 265385 385226 530770 770452 963065 1061540 1326925 1926130 2653850 3852260 4815325 5307700 9630650 19261300 10223320201 20446640402 40893280804 51116601005 102233202010 204466404020 255583005025 511166010050 1022332020100