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122001232302131 = 7131917019229751
BaseRepresentation
bin11011101111010110100000…
…000111010001000000110011
3120222222012111122102022122012
4123233112200013101000303
5111442332010432132011
61111250331542233135
734461204161114630
oct3357264007210063
9528865448368565
10122001232302131
1135967483083906
12118247a5a257ab
13530c8890852b0
14221ac6945b187
15e187ea8eea8b
hex6ef5a01d1033

122001232302131 has 16 divisors (see below), whose sum is σ = 150941516587008. Its totient is φ = 96023062980000.

The previous prime is 122001232302109. The next prime is 122001232302151. The reversal of 122001232302131 is 131203232100221.

It is not a de Polignac number, because 122001232302131 - 234 = 121984052432947 is a prime.

It is a super-3 number, since 3×1220012323021313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122001232302097 and 122001232302106.

It is not an unprimeable number, because it can be changed into a prime (122001232302151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3509597495 + ... + 3509632256.

It is an arithmetic number, because the mean of its divisors is an integer number (9433844786688).

Almost surely, 2122001232302131 is an apocalyptic number.

122001232302131 is a deficient number, since it is larger than the sum of its proper divisors (28940284284877).

122001232302131 is a wasteful number, since it uses less digits than its factorization.

122001232302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019229962.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122001232302131 its reverse (131203232100221), we get a palindrome (253204464402352).

The spelling of 122001232302131 in words is "one hundred twenty-two trillion, one billion, two hundred thirty-two million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 7 13 91 191 1337 2483 17381 7019229751 49134608257 91249986763 638749907341 1340672882441 9384710177087 17428747471733 122001232302131