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123020313232 = 24192294433989
BaseRepresentation
bin111001010010010010…
…1010000001010010000
3102202112111102102100111
41302210211100022100
54003421200010412
6132303104131104
711613362260225
oct1624445201220
9382474372314
10123020313232
114819983a163
121ba13306a94
13b7a6b6176b
145d5051994c
15330020d2a7
hex1ca4950290

123020313232 has 80 divisors (see below), whose sum is σ = 252624456000. Its totient is φ = 57872835072.

The previous prime is 123020313223. The next prime is 123020313239. The reversal of 123020313232 is 232313020321.

It is not an unprimeable number, because it can be changed into a prime (123020313239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30837894 + ... + 30841882.

It is an arithmetic number, because the mean of its divisors is an integer number (3157805700).

Almost surely, 2123020313232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123020313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126312228000).

123020313232 is an abundant number, since it is smaller than the sum of its proper divisors (129604142768).

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

123020313232 is a wasteful number, since it uses less digits than its factorization.

123020313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123020313232 its reverse (232313020321), we get a palindrome (355333333553).

The spelling of 123020313232 in words is "one hundred twenty-three billion, twenty million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 229 304 443 458 886 916 1772 1832 3544 3664 3989 4351 7088 7978 8417 8702 15956 16834 17404 31912 33668 34808 63824 67336 69616 75791 101447 134672 151582 202894 303164 405788 606328 811576 913481 1212656 1623152 1767127 1826962 1927493 3534254 3653924 3854986 7068508 7307848 7709972 14137016 14615696 15419944 17356139 28274032 30839888 33575413 34712278 67150826 69424556 134301652 138849112 268603304 277698224 404672083 537206608 809344166 1618688332 3237376664 6474753328 7688769577 15377539154 30755078308 61510156616 123020313232