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123213421100 = 22527111719107463
BaseRepresentation
bin111001011000000010…
…1111001101000101100
3102210000221210022112202
41302300011321220230
54004320113433400
6132334203121032
711621225541020
oct1626005715054
9383027708482
10123213421100
1148288844a40
121ba67b13178
13b807b74983
145d6c026380
1533121554d5
hex1cb0179a2c

123213421100 has 576 divisors, whose sum is σ = 375815946240. Its totient is φ = 33849446400.

The previous prime is 123213421063. The next prime is 123213421127. The reversal of 123213421100 is 1124312321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266119469 + ... + 266119931.

It is an arithmetic number, because the mean of its divisors is an integer number (652458240).

Almost surely, 2123213421100 is an apocalyptic number.

123213421100 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 123213421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187907973120).

123213421100 is an abundant number, since it is smaller than the sum of its proper divisors (252602525140).

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

123213421100 is a wasteful number, since it uses less digits than its factorization.

123213421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123213421100 its reverse (1124312321), we get a palindrome (124337733421).

The spelling of 123213421100 in words is "one hundred twenty-three billion, two hundred thirteen million, four hundred twenty-one thousand, one hundred".