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123313133400 = 23352415012729
BaseRepresentation
bin111001011011000001…
…0010001011101011000
3102210021220102020002220
41302312002101131120
54010021130232100
6132352124224040
711623546224312
oct1626602213530
9383256366086
10123313133400
114832a05a2a6
121ba9539b020
13b822717532
145d7b3807b2
15331ac9eaa0
hex1cb6091758

123313133400 has 96 divisors (see below), whose sum is σ = 391594467600. Its totient is φ = 32081459200.

The previous prime is 123313133389. The next prime is 123313133407. The reversal of 123313133400 is 4331313321.

It is a happy number.

It is a super-2 number, since 2×1233131334002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313133407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2481765 + ... + 2530964.

Almost surely, 2123313133400 is an apocalyptic number.

123313133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313133400 is an abundant number, since it is smaller than the sum of its proper divisors (268281334200).

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

123313133400 is a wasteful number, since it uses less digits than its factorization.

123313133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012789 (or 5012780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123313133400 its reverse (4331313321), we get a palindrome (127644446721).

The spelling of 123313133400 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 5012729 10025458 15038187 20050916 25063645 30076374 40101832 50127290 60152748 75190935 100254580 120305496 125318225 150381870 200509160 205521889 250636450 300763740 375954675 411043778 501272900 601527480 616565667 751909350 822087556 1002545800 1027609445 1233131334 1503818700 1644175112 2055218890 2466262668 3007637400 3082828335 4110437780 4932525336 5138047225 6165656670 8220875560 10276094450 12331313340 15414141675 20552188900 24662626680 30828283350 41104377800 61656566700 123313133400