Search a number
-
+
122320354542224 = 24177911350376071
BaseRepresentation
bin11011110011111111101101…
…010010000000001010010000
3121001002201012211012210101212
4123303333231102000022100
5112013044041230322344
61112053110051315252
734523232262314356
oct3363775522001220
9531081184183355
10122320354542224
1135a7a853288113
12118766072abb28
1353339b5781067
14222c4a00777d6
15e21c76c4279e
hex6f3fed480290

122320354542224 has 80 divisors (see below), whose sum is σ = 256361815365120. Its totient is φ = 56330924482560.

The previous prime is 122320354542223. The next prime is 122320354542257. The reversal of 122320354542224 is 422245453023221.

It is not an unprimeable number, because it can be changed into a prime (122320354542223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22759892 + ... + 27616179.

It is an arithmetic number, because the mean of its divisors is an integer number (3204522692064).

Almost surely, 2122320354542224 is an apocalyptic number.

It is an amenable number.

122320354542224 is an abundant number, since it is smaller than the sum of its proper divisors (134041460822896).

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

122320354542224 is a wasteful number, since it uses less digits than its factorization.

122320354542224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50376288 (or 50376282 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

The spelling of 122320354542224 in words is "one hundred twenty-two trillion, three hundred twenty billion, three hundred fifty-four million, five hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 79 113 136 158 226 272 316 452 632 904 1264 1343 1808 1921 2686 3842 5372 7684 8927 10744 15368 17854 21488 30736 35708 71416 142832 151759 303518 607036 1214072 2428144 50376071 100752142 201504284 403008568 806017136 856393207 1712786414 3425572828 3979709609 5692496023 6851145656 7959419218 11384992046 13702291312 15918838436 22769984092 31837676872 45539968184 63675353744 67655063353 91079936368 96772432391 135310126706 193544864782 270620253412 387089729564 449707185817 541240506824 774179459128 899414371634 1082481013648 1548358918256 1798828743268 3597657486536 7195314973072 7645022158889 15290044317778 30580088635556 61160177271112 122320354542224