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122303314214032 = 2472156157998989
BaseRepresentation
bin11011110011101111110101…
…100110010011110010010000
3121001001002020020211102121111
4123303233311212103302100
5112012304141414322112
61112041211130103104
734522060066030300
oct3363576546236220
9531032206742544
10122303314214032
1135a735a9484356
121187325057aa94
1353321cb30a923
14222b724c9b600
15e215cac515a7
hex6f3bf5993c90

122303314214032 has 60 divisors (see below), whose sum is σ = 275652495502140. Its totient is φ = 52415317963008.

The previous prime is 122303314213999. The next prime is 122303314214057. The reversal of 122303314214032 is 230412413303221.

It can be written as a sum of positive squares in 2 ways, for example, as 74452116702096 + 47851197511936 = 8628564^2 + 6917456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122303314213985 and 122303314214003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121927594 + ... + 122926582.

It is an arithmetic number, because the mean of its divisors is an integer number (4594208258369).

Almost surely, 2122303314214032 is an apocalyptic number.

It is an amenable number.

122303314214032 is an abundant number, since it is smaller than the sum of its proper divisors (153349181288108).

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

122303314214032 is a wasteful number, since it uses less digits than its factorization.

122303314214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155168 (or 1155155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 122303314214032 its reverse (230412413303221), we get a palindrome (352715727517253).

The spelling of 122303314214032 in words is "one hundred twenty-two trillion, three hundred three billion, three hundred fourteen million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 156157 312314 624628 998989 1093099 1249256 1997978 2186198 2498512 3995956 4372396 6992923 7651693 7991912 8744792 13985846 15303386 15983824 17489584 27971692 30606772 48950461 55943384 61213544 97900922 111886768 122427088 195801844 391603688 783207376 155999125273 311998250546 623996501092 1091993876911 1247993002184 2183987753822 2495986004368 4367975507644 7643957138377 8735951015288 15287914276754 17471902030576 30575828553508 61151657107016 122303314214032