Search a number
-
+
122335666820 = 2256116783341
BaseRepresentation
bin111000111101111000…
…1100010001010000100
3102200202210010210000222
41301323301202022010
54001020412314240
6132111125523512
711560410003443
oct1617361421204
9380683123028
10122335666820
1147978327184
121b861b73598
13b6c8069943
145cc761ad5a
1532b006eeb5
hex1c7bc62284

122335666820 has 12 divisors (see below), whose sum is σ = 256904900364. Its totient is φ = 48934266720.

The previous prime is 122335666819. The next prime is 122335666841. The reversal of 122335666820 is 28666533221.

It can be written as a sum of positive squares in 2 ways, for example, as 52072501636 + 70263165184 = 228194^2 + 265072^2 .

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 3 ways as a sum of consecutive naturals, for example, 3058391651 + ... + 3058391690.

It is an arithmetic number, because the mean of its divisors is an integer number (21408741697).

Almost surely, 2122335666820 is an apocalyptic number.

122335666820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122335666820 is an abundant number, since it is smaller than the sum of its proper divisors (134569233544).

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

122335666820 is a wasteful number, since it uses less digits than its factorization.

122335666820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116783350 (or 6116783348 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 122335666820 in words is "one hundred twenty-two billion, three hundred thirty-five million, six hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 6116783341 12233566682 24467133364 30583916705 61167833410 122335666820