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123030431400 = 233521712061807
BaseRepresentation
bin111001010010100101…
…1110110011010101000
3102202120012110110212110
41302211023312122220
54003431242301100
6132304105042320
711613544261242
oct1624513663250
9382505413773
10123030431400
11481a4520088
121ba167863a0
13b7a8c95046
145d519d1092
15330105b250
hex1ca52f66a8

123030431400 has 96 divisors (see below), whose sum is σ = 403829331840. Its totient is φ = 30878223360.

The previous prime is 123030431351. The next prime is 123030431413. The reversal of 123030431400 is 4134030321.

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 23 ways as a sum of consecutive naturals, for example, 6020704 + ... + 6041103.

It is an arithmetic number, because the mean of its divisors is an integer number (4206555540).

Almost surely, 2123030431400 is an apocalyptic number.

123030431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123030431400 is an abundant number, since it is smaller than the sum of its proper divisors (280798900440).

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

123030431400 is a wasteful number, since it uses less digits than its factorization.

123030431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061843 (or 12061834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123030431400 its reverse (4134030321), we get a palindrome (127164461721).

The spelling of 123030431400 in words is "one hundred twenty-three billion, thirty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 12061807 24123614 36185421 48247228 60309035 72370842 96494456 120618070 144741684 180927105 205050719 241236140 289483368 301545175 361854210 410101438 482472280 603090350 615152157 723708420 820202876 904635525 1025253595 1206180700 1230304314 1447416840 1640405752 1809271050 2050507190 2412361400 2460608628 3075760785 3618542100 4101014380 4921217256 5126267975 6151521570 7237084200 8202028760 10252535950 12303043140 15378803925 20505071900 24606086280 30757607850 41010143800 61515215700 123030431400