Search a number
-
+
123000013020 = 223513914748203
BaseRepresentation
bin111001010001101011…
…1110100000011011100
3102202111002020001200210
41302203113310003130
54003401000404040
6132301101052420
711613024601023
oct1624327640334
9382432201623
10123000013020
1148189334325
121ba08557110
13b7a28a47c1
145d4b9538ba
1532ed54d480
hex1ca35f40dc

123000013020 has 48 divisors (see below), whose sum is σ = 346877758080. Its totient is φ = 32564030016.

The previous prime is 123000013009. The next prime is 123000013021. The reversal of 123000013020 is 20310000321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123000012987 and 123000013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7365762 + ... + 7382441.

It is an arithmetic number, because the mean of its divisors is an integer number (7226619960).

Almost surely, 2123000013020 is an apocalyptic number.

123000013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123000013020 is an abundant number, since it is smaller than the sum of its proper divisors (223877745060).

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

123000013020 is a wasteful number, since it uses less digits than its factorization.

123000013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748354 (or 14748352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123000013020 its reverse (20310000321), we get a palindrome (143310013341).

The spelling of 123000013020 in words is "one hundred twenty-three billion, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 14748203 29496406 44244609 58992812 73741015 88489218 147482030 176978436 221223045 294964060 442446090 884892180 2050000217 4100000434 6150000651 8200000868 10250001085 12300001302 20500002170 24600002604 30750003255 41000004340 61500006510 123000013020