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123313213320 = 23351193419101
BaseRepresentation
bin111001011011000001…
…0100100111110001000
3102210021220120021201220
41302312002210332020
54010021140311240
6132352130042040
711623550006313
oct1626602447610
9383256507656
10123313213320
114832a104350
121ba95419320
13b822744a1b
145d7b3a197a
15331acb85d0
hex1cb60a4f88

123313213320 has 64 divisors (see below), whose sum is σ = 403570520640. Its totient is φ = 29894112000.

The previous prime is 123313213267. The next prime is 123313213333. The reversal of 123313213320 is 23312313321.

It is a super-2 number, since 2×1233132133202 (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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46708231 + ... + 46710870.

It is an arithmetic number, because the mean of its divisors is an integer number (6305789385).

Almost surely, 2123313213320 is an apocalyptic number.

123313213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313213320 is an abundant number, since it is smaller than the sum of its proper divisors (280257307320).

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

123313213320 is a wasteful number, since it uses less digits than its factorization.

123313213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93419126 (or 93419122 counting only the distinct ones).

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

Adding to 123313213320 its reverse (23312313321), we get a palindrome (146625526641).

It can be divided in two parts, 123313 and 213320, that added together give a palindrome (336633).

The spelling of 123313213320 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 93419101 186838202 280257303 373676404 467095505 560514606 747352808 934191010 1027610111 1121029212 1401286515 1868382020 2055220222 2242058424 2802573030 3082830333 3736764040 4110440444 5138050555 5605146060 6165660666 8220880888 10276101110 11210292120 12331321332 15414151665 20552202220 24662642664 30828303330 41104404440 61656606660 123313213320