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122331103232 = 21513287173
BaseRepresentation
bin111000111101110000…
…0001000000000000000
3102200202110112220222012
41301323200020000000
54001013230300412
6132110444032052
711560323135512
oct1617340100000
9380673486865
10122331103232
114797579a518
121b860532628
13b6c712c6b0
145cc6b8dbb2
1532ae96cc22
hex1c7b808000

122331103232 has 64 divisors (see below), whose sum is σ = 263479273260. Its totient is φ = 56460312576.

The previous prime is 122331103229. The next prime is 122331103249. The reversal of 122331103232 is 232301133221.

It can be written as a sum of positive squares in 2 ways, for example, as 103467728896 + 18863374336 = 321664^2 + 137344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122331103198 and 122331103207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282398 + ... + 569570.

Almost surely, 2122331103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131739636630).

122331103232 is an abundant number, since it is smaller than the sum of its proper divisors (141148170028).

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

122331103232 is an frugal number, since it uses more digits than its factorization.

122331103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287216 (or 287188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122331103232 its reverse (232301133221), we get a palindrome (354632236453).

The spelling of 122331103232 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 106496 212992 287173 425984 574346 1148692 2297384 3733249 4594768 7466498 9189536 14932996 18379072 29865992 36758144 59731984 73516288 119463968 147032576 238927936 294065152 477855872 588130304 955711744 1176260608 1911423488 2352521216 3822846976 4705042432 7645693952 9410084864 15291387904 30582775808 61165551616 122331103232