Search a number
-
+
122352332040 = 23325339867589
BaseRepresentation
bin111000111110011000…
…1000110110100001000
3102200210221111110102100
41301330301012310020
54001034144111130
6132112523033400
711561001443211
oct1617461066410
9380727443370
10122352332040
1147986779a94
121b86766b860
13b6cb653213
145cc9918408
1532b1762c60
hex1c7cc46d08

122352332040 has 48 divisors (see below), whose sum is σ = 397645080300. Its totient is φ = 32627288448.

The previous prime is 122352331987. The next prime is 122352332077. The reversal of 122352332040 is 40233253221.

122352332040 is a `hidden beast` number, since 1 + 223 + 5 + 233 + 204 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121116528324 + 1235803716 = 348018^2 + 35154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122352331995 and 122352332013.

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 11 ways as a sum of consecutive naturals, for example, 169933435 + ... + 169934154.

Almost surely, 2122352332040 is an apocalyptic number.

122352332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122352332040 is an abundant number, since it is smaller than the sum of its proper divisors (275292748260).

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

122352332040 is a wasteful number, since it uses less digits than its factorization.

122352332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339867606 (or 339867599 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 122352332040 its reverse (40233253221), we get a palindrome (162585585261).

The spelling of 122352332040 in words is "one hundred twenty-two billion, three hundred fifty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 339867589 679735178 1019602767 1359470356 1699337945 2039205534 2718940712 3058808301 3398675890 4078411068 5098013835 6117616602 6797351780 8156822136 10196027670 12235233204 13594703560 15294041505 20392055340 24470466408 30588083010 40784110680 61176166020 122352332040