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123213002040 = 23335114086113
BaseRepresentation
bin111001011000000010…
…0010011010100111000
3102210000221000000201000
41302300010103110320
54004320012031130
6132334150125000
711621222144202
oct1626004232470
9383027000630
10123213002040
1148288589107
121ba67950760
13b807a58ccb
145d6bd57772
1533120c1260
hex1cb0113538

123213002040 has 64 divisors (see below), whose sum is σ = 410710010400. Its totient is φ = 32856800256.

The previous prime is 123213002023. The next prime is 123213002051. The reversal of 123213002040 is 40200312321.

123213002040 is a `hidden beast` number, since 1 + 2 + 321 + 300 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57041977 + ... + 57044136.

Almost surely, 2123213002040 is an apocalyptic number.

123213002040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123213002040 is an abundant number, since it is smaller than the sum of its proper divisors (287497008360).

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

123213002040 is a wasteful number, since it uses less digits than its factorization.

123213002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114086133 (or 114086123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123213002040 its reverse (40200312321), we get a palindrome (163413314361).

The spelling of 123213002040 in words is "one hundred twenty-three billion, two hundred thirteen million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 114086113 228172226 342258339 456344452 570430565 684516678 912688904 1026775017 1140861130 1369033356 1711291695 2053550034 2281722260 2738066712 3080325051 3422583390 4107100068 4563444520 5133875085 6160650102 6845166780 8214200136 10267750170 12321300204 13690333560 15401625255 20535500340 24642600408 30803250510 41071000680 61606501020 123213002040