Search a number
-
+
122321230112319 = 3724592833836137
BaseRepresentation
bin11011110100000000100001…
…011110000010011000111111
3121001002210110211202100202220
4123310000201132002120333
5112013102334402043234
61112053333010020423
734523263053454020
oct3364004136023077
9531083424670686
10122321230112319
1135a80162543967
1211876810577713
135333ac4ca2b84
14222c544474c47
15e21cc8a45a49
hex6f402178263f

122321230112319 has 32 divisors (see below), whose sum is σ = 186536100042240. Its totient is φ = 69844674235392.

The previous prime is 122321230112309. The next prime is 122321230112327. The reversal of 122321230112319 is 913211032123221.

It is a happy number.

It is not a de Polignac number, because 122321230112319 - 219 = 122321229588031 is a prime.

It is a super-2 number, since 2×1223212301123192 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122321230112319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321230112309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145875219 + ... + 146711355.

It is an arithmetic number, because the mean of its divisors is an integer number (5829253126320).

Almost surely, 2122321230112319 is an apocalyptic number.

122321230112319 is a deficient number, since it is larger than the sum of its proper divisors (64214869929921).

122321230112319 is a wasteful number, since it uses less digits than its factorization.

122321230112319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841439.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 122321230112319 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two hundred thirty million, one hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 7 21 2459 2833 7377 8499 17213 19831 51639 59493 836137 2508411 5852959 6966347 17558877 20899041 48764429 146293287 2056060883 2368776121 6168182649 7106328363 14392426181 16581432847 43177278543 49744298541 5824820481539 17474461444617 40773743370773 122321230112319