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1005225101050 = 252157739317321
BaseRepresentation
bin11101010000011000001…
…01011100011011111010
310120002122212101001122011
432220030011130123322
5112432200111213200
62045443302320134
7132424262243542
oct16501405343372
93502585331564
101005225101050
1135834a3aa725
1214299ba2904a
1373a3b95c901
1436920382322
151b2353345ba
hexea0c15c6fa

1005225101050 has 48 divisors (see below), whose sum is σ = 1881990886392. Its totient is φ = 399451852800.

The previous prime is 1005225101009. The next prime is 1005225101057. The reversal of 1005225101050 is 501015225001.

It is a happy number.

1005225101050 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 12 ways, for example, as 24453766129 + 980771334921 = 156377^2 + 990339^2 .

It is a super-2 number, since 2×10052251010502 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005225101057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58026390 + ... + 58043710.

Almost surely, 21005225101050 is an apocalyptic number.

1005225101050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005225101050 is a deficient number, since it is larger than the sum of its proper divisors (876765785342).

1005225101050 is a wasteful number, since it uses less digits than its factorization.

1005225101050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24883 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 1005225101050 in words is "one trillion, five billion, two hundred twenty-five million, one hundred one thousand, fifty".

Divisors: 1 2 5 10 25 50 157 314 785 1570 3925 7393 7850 14786 17321 34642 36965 73930 86605 173210 184825 369650 433025 866050 1160701 2321402 2719397 5438794 5803505 11607010 13596985 27193970 29017525 58035050 67984925 128054153 135969850 256108306 640270765 1280541530 3201353825 6402707650 20104502021 40209004042 100522510105 201045020210 502612550525 1005225101050