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100244442339 = 321910313274289
BaseRepresentation
bin101110101011100001…
…0001100110011100011
3100120202012121022002200
41131113002030303203
53120300034123324
6114015054144243
710146102462246
oct1352702146343
9316665538080
10100244442339
1139571413268
12175177b2083
1395b7357592
144bcd6d125d
15291a921ec9
hex175708cce3

100244442339 has 48 divisors (see below), whose sum is σ = 154050124800. Its totient is φ = 62635742208.

The previous prime is 100244442269. The next prime is 100244442341. The reversal of 100244442339 is 933244442001.

It is not a de Polignac number, because 100244442339 - 217 = 100244311267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100244442839) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23370307 + ... + 23374595.

It is an arithmetic number, because the mean of its divisors is an integer number (3209377600).

Almost surely, 2100244442339 is an apocalyptic number.

100244442339 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100244442339 is a deficient number, since it is larger than the sum of its proper divisors (53805682461).

100244442339 is a wasteful number, since it uses less digits than its factorization.

100244442339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 100244442339 in words is "one hundred billion, two hundred forty-four million, four hundred forty-two thousand, three hundred thirty-nine".

Divisors: 1 3 9 19 57 103 171 309 927 1327 1957 3981 4289 5871 11943 12867 17613 25213 38601 75639 81491 136681 226917 244473 410043 441767 733419 1230129 1325301 2596939 3975903 5691503 7790817 8393573 17074509 23372451 25180719 51223527 75542157 108138557 324415671 586224809 973247013 1758674427 5276023281 11138271371 33414814113 100244442339