Search a number
-
+
123315300203021 = 17372414021202309
BaseRepresentation
bin11100000010011110010100…
…101010011111101000001101
3121011121211100022000011221122
4130002132110222133220031
5112130344213322444041
61114134133350010325
734655144045016533
oct3402362452375015
9534554308004848
10123315300203021
11363237a8161173
12119b73b86469a5
1353a6776873834
1422646c7116153
15e3caa98bbc4b
hex702794a9fa0d

123315300203021 has 32 divisors (see below), whose sum is σ = 134688614052960. Its totient is φ = 112427572838400.

The previous prime is 123315300202979. The next prime is 123315300203027. The reversal of 123315300203021 is 120302003513321.

It can be written as a sum of positive squares in 16 ways, for example, as 1955002389796 + 121360297813225 = 1398214^2 + 11016365^2 .

It is a cyclic number.

It is not a de Polignac number, because 123315300203021 - 26 = 123315300202957 is a prime.

It is a super-2 number, since 2×1233153002030212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123315300203027) 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 31 ways as a sum of consecutive naturals, for example, 609438215 + ... + 609640523.

It is an arithmetic number, because the mean of its divisors is an integer number (4209019189155).

Almost surely, 2123315300203021 is an apocalyptic number.

It is an amenable number.

123315300203021 is a deficient number, since it is larger than the sum of its proper divisors (11373313849939).

123315300203021 is a wasteful number, since it uses less digits than its factorization.

123315300203021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206625.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 123315300203021 its reverse (120302003513321), we get a palindrome (243617303716342).

The spelling of 123315300203021 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred million, two hundred three thousand, twenty-one".

Divisors: 1 17 37 241 629 4021 4097 8917 68357 148777 151589 202309 969061 2529209 3439253 7485433 16474037 35855257 48756469 127252361 609539369 813484489 828859973 1803989353 13829236313 30098926093 30667819001 196049761849 511681743581 3332845951433 7253841188413 123315300203021