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123321001013 = 7417319729879
BaseRepresentation
bin111001011011010000…
…0010010010000110101
3102210022110012221102222
41302312200102100311
54010030134013023
6132353005012125
711624003133050
oct1626640222065
9383273187388
10123321001013
1148333543361
121ba97b54045
13b824240622
145d7c42ba97
15331b805cc8
hex1cb6812435

123321001013 has 32 divisors (see below), whose sum is σ = 147101391360. Its totient is φ = 101193200640.

The previous prime is 123321001009. The next prime is 123321001039. The reversal of 123321001013 is 310100123321.

It is not a de Polignac number, because 123321001013 - 22 = 123321001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123321000982 and 123321001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123321001613) 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, 4112408 + ... + 4142286.

It is an arithmetic number, because the mean of its divisors is an integer number (4596918480).

Almost surely, 2123321001013 is an apocalyptic number.

It is an amenable number.

123321001013 is a deficient number, since it is larger than the sum of its proper divisors (23780390347).

123321001013 is a wasteful number, since it uses less digits than its factorization.

123321001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30197.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123321001013 its reverse (310100123321), we get a palindrome (433421124334).

The spelling of 123321001013 in words is "one hundred twenty-three billion, three hundred twenty-one million, one thousand, thirteen".

Divisors: 1 7 41 73 197 287 511 1379 2993 8077 14381 20951 29879 56539 100667 209153 589621 1225039 2181167 4127347 5886163 8575273 15268169 41203141 89427847 241332683 429689899 625994929 1689328781 3007829293 17617285859 123321001013