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123114311232 = 2631158292761
BaseRepresentation
bin111001010101000101…
…1110100111001000000
3102202210001022000100220
41302222023310321000
54004114230424412
6132320302543040
711615613243663
oct1625213647100
9382701260326
10123114311232
1148237901260
121ba3a897a80
13b7c0483393
145d5cbc76da
1533085c968c
hex1caa2f4e40

123114311232 has 56 divisors (see below), whose sum is σ = 355352677152. Its totient is φ = 37307366400.

The previous prime is 123114311209. The next prime is 123114311251. The reversal of 123114311232 is 232113411321.

It is a super-2 number, since 2×1231143112322 (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 nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 29144269 + ... + 29148492.

Almost surely, 2123114311232 is an apocalyptic number.

123114311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123114311232 is an abundant number, since it is smaller than the sum of its proper divisors (232238365920).

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

123114311232 is a wasteful number, since it uses less digits than its factorization.

123114311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58292787 (or 58292777 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 123114311232 its reverse (232113411321), we get a palindrome (355227722553).

The spelling of 123114311232 in words is "one hundred twenty-three billion, one hundred fourteen million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 58292761 116585522 174878283 233171044 349756566 466342088 641220371 699513132 932684176 1282440742 1399026264 1865368352 1923661113 2564881484 2798052528 3730736704 3847322226 5129762968 5596105056 7694644452 10259525936 11192210112 15389288904 20519051872 30778577808 41038103744 61557155616 123114311232