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1002413230100 = 225210024132301
BaseRepresentation
bin11101001011001000111…
…11000000100000010100
310112211101220100012211122
432211210133000200110
5112410420241330400
62044300254223112
7132264506604212
oct16454437004024
93484356305748
101002413230100
11357137154437
121423361b4a98
13736b1237349
1436734b4bcb2
151b11d552685
hexe9647c0814

1002413230100 has 18 divisors (see below), whose sum is σ = 2175236709534. Its totient is φ = 400965292000.

The previous prime is 1002413230087. The next prime is 1002413230103. The reversal of 1002413230100 is 10323142001.

It can be written as a sum of positive squares in 3 ways, for example, as 15037135876 + 987376094224 = 122626^2 + 993668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002413230103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5012066051 + ... + 5012066250.

It is an arithmetic number, because the mean of its divisors is an integer number (120846483863).

Almost surely, 21002413230100 is an apocalyptic number.

1002413230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002413230100 is an abundant number, since it is smaller than the sum of its proper divisors (1172823479434).

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

1002413230100 is a wasteful number, since it uses less digits than its factorization.

1002413230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024132315 (or 10024132308 counting only the distinct ones).

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

Adding to 1002413230100 its reverse (10323142001), we get a palindrome (1012736372101).

The spelling of 1002413230100 in words is "one trillion, two billion, four hundred thirteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10024132301 20048264602 40096529204 50120661505 100241323010 200482646020 250603307525 501206615050 1002413230100