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122444401030 = 25723431768661
BaseRepresentation
bin111001000001001000…
…0010100100110000110
3102201001100202001022221
41302002100110212012
54001231231313110
6132130012242554
711563200144010
oct1620220244606
9381040661287
10122444401030
1147a23743866
121b89247045a
13b71474ab03
145cd7c431b0
1532b989c7da
hex1c82414986

122444401030 has 64 divisors (see below), whose sum is σ = 268949818368. Its totient is φ = 39221804160.

The previous prime is 122444401003. The next prime is 122444401031. The reversal of 122444401030 is 30104444221.

It is a junction number, because it is equal to n+sod(n) for n = 122444400986 and 122444401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444401031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815101 + ... + 953560.

It is an arithmetic number, because the mean of its divisors is an integer number (4202340912).

Almost surely, 2122444401030 is an apocalyptic number.

122444401030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122444401030 is an abundant number, since it is smaller than the sum of its proper divisors (146505417338).

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

122444401030 is a wasteful number, since it uses less digits than its factorization.

122444401030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768741.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 122444401030 its reverse (30104444221), we get a palindrome (152548845251).

The spelling of 122444401030 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred one thousand, thirty".

Divisors: 1 2 5 7 10 14 23 35 43 46 70 86 115 161 215 230 301 322 430 602 805 989 1505 1610 1978 3010 4945 6923 9890 13846 34615 69230 1768661 3537322 8843305 12380627 17686610 24761254 40679203 61903135 76052423 81358406 123806270 152104846 203396015 284754421 380262115 406792030 532366961 569508842 760524230 1064733922 1423772105 1749205729 2661834805 2847544210 3498411458 5323669610 8746028645 12244440103 17492057290 24488880206 61222200515 122444401030