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123294067380 = 223451131307727
BaseRepresentation
bin111001011010011100…
…1100010101010110100
3102210020120112120110000
41302310321202222310
54010001240124010
6132350203431300
711623225165251
oct1626471425264
9383216476400
10123294067380
114831a317760
121ba8ab25530
13b81b7a0273
145d78a1a428
1533192857c0
hex1cb4e62ab4

123294067380 has 480 divisors, whose sum is σ = 437570445312. Its totient is φ = 28791417600.

The previous prime is 123294067343. The next prime is 123294067409. The reversal of 123294067380 is 83760492321.

123294067380 is a `hidden beast` number, since 1 + 232 + 9 + 406 + 7 + 3 + 8 + 0 = 666.

It is a super-3 number, since 3×1232940673803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 169592577 + ... + 169593303.

Almost surely, 2123294067380 is an apocalyptic number.

123294067380 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 123294067380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218785222656).

123294067380 is an abundant number, since it is smaller than the sum of its proper divisors (314276377932).

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

123294067380 is a wasteful number, since it uses less digits than its factorization.

123294067380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 123294067380 in words is "one hundred twenty-three billion, two hundred ninety-four million, sixty-seven thousand, three hundred eighty".