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10123212320 = 255134866929
BaseRepresentation
bin10010110110110001…
…11111011000100000
3222010111121110122122
421123120333120200
5131213020243240
64352303323412
7505601612354
oct113330773040
928114543578
1010123212320
114325320281
121b662b0568
13c5439a580
146c0677464
153e3aea4b5
hex25b63f620

10123212320 has 48 divisors (see below), whose sum is σ = 25755793560. Its totient is φ = 3737800704.

The previous prime is 10123212301. The next prime is 10123212329. The reversal of 10123212320 is 2321232101.

10123212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6154716304 + 3968496016 = 78452^2 + 62996^2 .

It is not an unprimeable number, because it can be changed into a prime (10123212329) 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 7 ways as a sum of consecutive naturals, for example, 2431385 + ... + 2435544.

Almost surely, 210123212320 is an apocalyptic number.

10123212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123212320 is an abundant number, since it is smaller than the sum of its proper divisors (15632581240).

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

10123212320 is a wasteful number, since it uses less digits than its factorization.

10123212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866957 (or 4866949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10123212320 its reverse (2321232101), we get a palindrome (12444444421).

The spelling of 10123212320 in words is "ten billion, one hundred twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 4866929 9733858 19467716 24334645 38935432 48669290 63270077 77870864 97338580 126540154 155741728 194677160 253080308 316350385 389354320 506160616 632700770 778708640 1012321232 1265401540 2024642464 2530803080 5061606160 10123212320