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1023122320100 = 225262297164233
BaseRepresentation
bin11101110001101101101…
…01111010101011100100
310121210212011010222200222
432320312311322223210
5113230323303220400
62102003234023512
7133626632141666
oct16706665725344
93553764128628
101023122320100
113649a3971251
12146355717b98
13756317b495a
143773b296536
151b931689185
hexee36d7aae4

1023122320100 has 36 divisors (see below), whose sum is σ = 2220224591844. Its totient is φ = 409239866880.

The previous prime is 1023122320093. The next prime is 1023122320123. The reversal of 1023122320100 is 10232213201.

It can be written as a sum of positive squares in 6 ways, for example, as 17919570496 + 1005202749604 = 133864^2 + 1002598^2 .

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, 6147584 + ... + 6311816.

It is an arithmetic number, because the mean of its divisors is an integer number (61672905329).

Almost surely, 21023122320100 is an apocalyptic number.

1023122320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023122320100 is an abundant number, since it is smaller than the sum of its proper divisors (1197102271744).

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

1023122320100 is a wasteful number, since it uses less digits than its factorization.

1023122320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226544 (or 226537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1023122320100 its reverse (10232213201), we get a palindrome (1033354533301).

The spelling of 1023122320100 in words is "one trillion, twenty-three billion, one hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 62297 124594 164233 249188 311485 328466 622970 656932 821165 1245940 1557425 1642330 3114850 3284660 4105825 6229700 8211650 16423300 10231223201 20462446402 40924892804 51156116005 102312232010 204624464020 255780580025 511561160050 1023122320100