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122540300233 = 1315913592357
BaseRepresentation
bin111001000011111111…
…0001001011111001001
3102201022001012020022021
41302013332021133021
54001430304101413
6132143315524441
711565443236351
oct1620776113711
9381261166267
10122540300233
1147a728942aa
121b8ba5b9721
13b72b586bc0
145d06887b61
1532c2ee218d
hex1c87f897c9

122540300233 has 8 divisors (see below), whose sum is σ = 131974992968. Its totient is φ = 113106824064.

The previous prime is 122540300221. The next prime is 122540300317. The reversal of 122540300233 is 332003045221.

It can be written as a sum of positive squares in 4 ways, for example, as 3606362809 + 118933937424 = 60053^2 + 344868^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-122540300233 is a prime.

It is a super-2 number, since 2×1225403002332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122540300198 and 122540300207.

It is not an unprimeable number, because it can be changed into a prime (122540360233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89310 + ... + 503047.

It is an arithmetic number, because the mean of its divisors is an integer number (16496874121).

Almost surely, 2122540300233 is an apocalyptic number.

122540300233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122540300233 is a deficient number, since it is larger than the sum of its proper divisors (9434692735).

122540300233 is a wasteful number, since it uses less digits than its factorization.

122540300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608283.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 122540300233 its reverse (332003045221), we get a palindrome (454543345454).

The spelling of 122540300233 in words is "one hundred twenty-two billion, five hundred forty million, three hundred thousand, two hundred thirty-three".

Divisors: 1 13 15913 206869 592357 7700641 9426176941 122540300233