Search a number
-
+
12331343400 = 23352107241797
BaseRepresentation
bin10110111110000000…
…10101111000101000
31011211101121011001020
423133000111320220
5200223310442100
65355343252440
7614403455325
oct133700257050
934741534036
1012331343400
1152587a38a2
1224818aa120
1312169b7bcc
1484da2db4c
154c28c15a0
hex2df015e28

12331343400 has 192 divisors, whose sum is σ = 38793142080. Its totient is φ = 3240038400.

The previous prime is 12331343359. The next prime is 12331343407. The reversal of 12331343400 is 434313321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12331343407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15471802 + ... + 15472598.

It is an arithmetic number, because the mean of its divisors is an integer number (202047615).

Almost surely, 212331343400 is an apocalyptic number.

12331343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396571040).

12331343400 is an abundant number, since it is smaller than the sum of its proper divisors (26461798680).

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

12331343400 is a wasteful number, since it uses less digits than its factorization.

12331343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12331343400 its reverse (434313321), we get a palindrome (12765656721).

The spelling of 12331343400 in words is "twelve billion, three hundred thirty-one million, three hundred forty-three thousand, four hundred".