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122424210230031 = 3219780985351283
BaseRepresentation
bin11011110101100000011011…
…100100000000101100001111
3121001110122021201000100222200
4123311200123210000230033
5112021244240304330111
61112212523351212543
734533600025146243
oct3365403344005417
9531418251010880
10122424210230031
113600a8a809a566
1211892770377153
135340727025178
142233513204423
15e248046e8256
hex6f581b900b0f

122424210230031 has 24 divisors (see below), whose sum is σ = 177952306062960. Its totient is φ = 81101470966656.

The previous prime is 122424210230011. The next prime is 122424210230051. The reversal of 122424210230031 is 130032012424221.

122424210230031 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 421 + 0 + 230 + 0 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122424210230011) and next prime (122424210230051).

It is not a de Polignac number, because 122424210230031 - 223 = 122424201841423 is a prime.

It is a super-2 number, since 2×1224242102300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122424210229977 and 122424210230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424210230011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41241285 + ... + 44109998.

It is an arithmetic number, because the mean of its divisors is an integer number (7414679419290).

Almost surely, 2122424210230031 is an apocalyptic number.

122424210230031 is a deficient number, since it is larger than the sum of its proper divisors (55528095832929).

122424210230031 is a wasteful number, since it uses less digits than its factorization.

122424210230031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85352295 (or 85352292 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122424210230031 its reverse (130032012424221), we get a palindrome (252456222654252).

The spelling of 122424210230031 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, two hundred ten million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 9 197 591 809 1773 2427 7281 159373 478119 1434357 85351283 256053849 768161547 16814202751 50442608253 69049187947 151327824759 207147563841 621442691523 13602690025559 40808070076677 122424210230031