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122840093300 = 22521228400933
BaseRepresentation
bin111001001100111010…
…1110001001001110100
3102202001221022022002012
41302121311301021310
54003034030441200
6132233145303352
711606043364541
oct1623165611164
9382057268065
10122840093300
1148107037271
121b982a94b58
13b778711752
145d34605bc8
1532de4aea35
hex1c99d71274

122840093300 has 18 divisors (see below), whose sum is σ = 266563002678. Its totient is φ = 49136037280.

The previous prime is 122840093287. The next prime is 122840093401. The reversal of 122840093300 is 3390048221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6666724 + 122833426576 = 2582^2 + 350476^2 .

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 5 ways as a sum of consecutive naturals, for example, 614200367 + ... + 614200566.

Almost surely, 2122840093300 is an apocalyptic number.

122840093300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122840093300 is an abundant number, since it is smaller than the sum of its proper divisors (143722909378).

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

122840093300 is a wasteful number, since it uses less digits than its factorization.

122840093300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228400947 (or 1228400940 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 122840093300 in words is "one hundred twenty-two billion, eight hundred forty million, ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1228400933 2456801866 4913603732 6142004665 12284009330 24568018660 30710023325 61420046650 122840093300