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12242413100 = 2252165773883
BaseRepresentation
bin10110110011011010…
…00110011000101100
31011121012021000121102
423121231012120230
5200033024204400
65342445222232
7612243536321
oct133155063054
934535230542
1012242413100
115212583185
122457b61978
13120144bb28
14841cc0b48
154b9ba69d5
hex2d9b4662c

12242413100 has 36 divisors (see below), whose sum is σ = 26582428824. Its totient is φ = 4893943680.

The previous prime is 12242413091. The next prime is 12242413109. The reversal of 12242413100 is 131424221.

12242413100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12242413091) and next prime (12242413109).

It is a super-2 number, since 2×122424131002 (a number of 21 digits) contains 22 as substring.

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 (12242413109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 128759 + ... + 202641.

Almost surely, 212242413100 is an apocalyptic number.

12242413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242413100 is an abundant number, since it is smaller than the sum of its proper divisors (14340015724).

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

12242413100 is a wasteful number, since it uses less digits than its factorization.

12242413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75554 (or 75547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12242413100 its reverse (131424221), we get a palindrome (12373837321).

The spelling of 12242413100 in words is "twelve billion, two hundred forty-two million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1657 3314 6628 8285 16570 33140 41425 73883 82850 147766 165700 295532 369415 738830 1477660 1847075 3694150 7388300 122424131 244848262 489696524 612120655 1224241310 2448482620 3060603275 6121206550 12242413100