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12022100100 = 22325213357889
BaseRepresentation
bin10110011001001001…
…01011000010000100
31011000211200221222200
423030210223002010
5144110124200400
65304535154500
7603630110343
oct131444530204
934024627880
1012022100100
11510a18681a
1223b6215a30
131197901aca
14820931b5a
154a5688b00
hex2cc92b084

12022100100 has 54 divisors (see below), whose sum is σ = 37682607690. Its totient is φ = 3205893120.

The previous prime is 12022100093. The next prime is 12022100113. The reversal of 12022100100 is 100122021.

It can be written as a sum of positive squares in 3 ways, for example, as 1127750724 + 10894349376 = 33582^2 + 104376^2 .

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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6678045 + ... + 6679844.

Almost surely, 212022100100 is an apocalyptic number.

12022100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022100100 is an abundant number, since it is smaller than the sum of its proper divisors (25660507590).

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

12022100100 is a wasteful number, since it uses less digits than its factorization.

12022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357909 (or 13357899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12022100100 its reverse (100122021), we get a palindrome (12122222121).

The spelling of 12022100100 in words is "twelve billion, twenty-two million, one hundred thousand, one hundred".

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 13357889 26715778 40073667 53431556 66789445 80147334 120221001 133578890 160294668 200368335 240442002 267157780 333947225 400736670 480884004 601105005 667894450 801473340 1001841675 1202210010 1335788900 2003683350 2404420020 3005525025 4007366700 6011050050 12022100100