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130122231112100 = 22521912168052001
BaseRepresentation
bin11101100101100001110001…
…010111001110000110100100
3122001201120020000102010200202
4131211201301113032012210
5114023410312131041400
61140425154442530032
736260010122053043
oct3545416127160644
9561646200363622
10130122231112100
113850858a201947
1212716687b06918
13577b620a75116
14241bd4196055a
151009ba03644d5
hex7658715ce1a4

130122231112100 has 36 divisors (see below), whose sum is σ = 282380012946948. Its totient is φ = 52046169600000.

The previous prime is 130122231112079. The next prime is 130122231112103. The reversal of 130122231112100 is 1211132221031.

It can be written as a sum of positive squares in 6 ways, for example, as 1729219740004 + 128393011372096 = 1314998^2 + 11331064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130122231112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32113901 + ... + 35938100.

Almost surely, 2130122231112100 is an apocalyptic number.

130122231112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130122231112100 is an abundant number, since it is smaller than the sum of its proper divisors (152257781834848).

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

130122231112100 is a wasteful number, since it uses less digits than its factorization.

130122231112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68071136 (or 68071129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 130122231112100 its reverse (1211132221031), we get a palindrome (131333363333131).

The spelling of 130122231112100 in words is "one hundred thirty trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 19121 38242 76484 95605 191210 382420 478025 956050 1912100 68052001 136104002 272208004 340260005 680520010 1361040020 1701300025 3402600050 6805200100 1301222311121 2602444622242 5204889244484 6506111555605 13012223111210 26024446222420 32530557778025 65061115556050 130122231112100