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112310000100 = 223252124788889
BaseRepresentation
bin110100010011000110…
…0101001100111100100
3101201220002002010210100
41220212030221213210
53320002330000400
6123332225024100
711054101151424
oct1504614514744
9351802063710
10112310000100
11436a3081401
1219924485030
13a78ac6397c
145615cd6484
152dc4ce2100
hex1a263299e4

112310000100 has 54 divisors (see below), whose sum is σ = 352029458690. Its totient is φ = 29949333120.

The previous prime is 112310000093. The next prime is 112310000111. The reversal of 112310000100 is 1000013211.

It can be written as a sum of positive squares in 3 ways, for example, as 26479751076 + 85830249024 = 162726^2 + 292968^2 .

It is a super-2 number, since 2×1123100001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62393545 + ... + 62395344.

Almost surely, 2112310000100 is an apocalyptic number.

112310000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112310000100 is an abundant number, since it is smaller than the sum of its proper divisors (239719458590).

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

112310000100 is a wasteful number, since it uses less digits than its factorization.

112310000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124788909 (or 124788899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112310000100 its reverse (1000013211), we get a palindrome (113310013311).

The spelling of 112310000100 in words is "one hundred twelve billion, three hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 124788889 249577778 374366667 499155556 623944445 748733334 1123100001 1247888890 1497466668 1871833335 2246200002 2495777780 3119722225 3743666670 4492400004 5615500005 6239444450 7487333340 9359166675 11231000010 12478888900 18718333350 22462000020 28077500025 37436666700 56155000050 112310000100