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122102133231432 = 23325719796065699
BaseRepresentation
bin11011110000110100011110…
…010001110000111101001000
3121000022211221121022121112210
4123300310132101300331020
5112001010132101401212
61111404540131305120
734501405454632314
oct3360643621607510
9530284847277483
10122102133231432
11359a6251016482
121184026544b1a0
1353192494253a3
142221abbddab44
15e1b253c9b53c
hex6f0d1e470f48

122102133231432 has 32 divisors (see below), whose sum is σ = 306443097036000. Its totient is φ = 40542342549504.

The previous prime is 122102133231431. The next prime is 122102133231461. The reversal of 122102133231432 is 234132331201221.

It is a self number, because there is not a number n which added to its sum of digits gives 122102133231432.

It is not an unprimeable number, because it can be changed into a prime (122102133231431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9898026682 + ... + 9898039017.

It is an arithmetic number, because the mean of its divisors is an integer number (9576346782375).

Almost surely, 2122102133231432 is an apocalyptic number.

122102133231432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122102133231432 is an abundant number, since it is smaller than the sum of its proper divisors (184340963804568).

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

122102133231432 is a wasteful number, since it uses less digits than its factorization.

122102133231432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19796065965 (or 19796065961 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 122102133231432 its reverse (234132331201221), we get a palindrome (356234464432653).

The spelling of 122102133231432 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred thirty-three million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 3084 6168 19796065699 39592131398 59388197097 79184262796 118776394194 158368525592 237552788388 475105576776 5087588884643 10175177769286 15262766653929 20350355538572 30525533307858 40700711077144 61051066615716 122102133231432