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106404121323 = 32199461128873
BaseRepresentation
bin110001100011000101…
…1100000101011101011
3101011122111010102011100
41203012023200223223
53220403423340243
6120514213332443
710454536052103
oct1430613405353
9334574112140
10106404121323
1141142397255
1218756637123
13a059530946
1452157c8203
152b7b59c0d3
hex18c62e0aeb

106404121323 has 24 divisors (see below), whose sum is σ = 154803448800. Its totient is φ = 70425970560.

The previous prime is 106404121283. The next prime is 106404121379. The reversal of 106404121323 is 323121404601.

It is a happy number.

106404121323 is a `hidden beast` number, since 1 + 0 + 640 + 4 + 1 + 2 + 13 + 2 + 3 = 666.

It is not a de Polignac number, because 106404121323 - 29 = 106404120811 is a prime.

It is a super-2 number, since 2×1064041213232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106404021323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761215 + ... + 890087.

It is an arithmetic number, because the mean of its divisors is an integer number (6450143700).

Almost surely, 2106404121323 is an apocalyptic number.

106404121323 is a deficient number, since it is larger than the sum of its proper divisors (48399327477).

106404121323 is a wasteful number, since it uses less digits than its factorization.

106404121323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129539 (or 129536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106404121323 its reverse (323121404601), we get a palindrome (429525525924).

The spelling of 106404121323 in words is "one hundred six billion, four hundred four million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 199 461 597 1383 1791 4149 91739 128873 275217 386619 825651 1159857 25645727 59410453 76937181 178231359 230811543 534694077 11822680147 35468040441 106404121323