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101365230100 = 22521609629989
BaseRepresentation
bin101111001100111010…
…1101010101000010100
3100200122022120012212111
41132121311222220110
53130043444330400
6114322212400404
710215632145121
oct1363165525024
9320568505774
10101365230100
1139a97036742
121778b016104
1397356060c4
144c984c1748
1529840123ba
hex1799d6aa14

101365230100 has 36 divisors (see below), whose sum is σ = 220099606300. Its totient is φ = 40520828160.

The previous prime is 101365230097. The next prime is 101365230157. The reversal of 101365230100 is 1032563101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15672035344 + 85693194756 = 125188^2 + 292734^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154095 + ... + 475894.

Almost surely, 2101365230100 is an apocalyptic number.

101365230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101365230100 is an abundant number, since it is smaller than the sum of its proper divisors (118734376200).

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

101365230100 is a wasteful number, since it uses less digits than its factorization.

101365230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631612 (or 631605 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 101365230100 its reverse (1032563101), we get a palindrome (102397793201).

The spelling of 101365230100 in words is "one hundred one billion, three hundred sixty-five million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1609 3218 6436 8045 16090 32180 40225 80450 160900 629989 1259978 2519956 3149945 6299890 12599780 15749725 31499450 62998900 1013652301 2027304602 4054609204 5068261505 10136523010 20273046020 25341307525 50682615050 101365230100