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12233414310 = 2351371441799
BaseRepresentation
bin10110110010010101…
…10001011010100110
31011120120022211120220
423121022301122212
5200023223224220
65341524305210
7612104206635
oct133112613246
934516284526
1012233414310
115208497267
122454b42206
1311cc61abc0
14840a1b51c
154b8eca540
hex2d92b16a6

12233414310 has 64 divisors (see below), whose sum is σ = 32064076800. Its totient is φ = 2968882560.

The previous prime is 12233414293. The next prime is 12233414329. The reversal of 12233414310 is 1341433221.

It is a happy number.

12233414310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122334143102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 193210 + ... + 248589.

It is an arithmetic number, because the mean of its divisors is an integer number (501001200).

Almost surely, 212233414310 is an apocalyptic number.

12233414310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12233414310 is an abundant number, since it is smaller than the sum of its proper divisors (19830662490).

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

12233414310 is a wasteful number, since it uses less digits than its factorization.

12233414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441893.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12233414310 its reverse (1341433221), we get a palindrome (13574847531).

The spelling of 12233414310 in words is "twelve billion, two hundred thirty-three million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 4615 5538 9230 13845 27690 441799 883598 1325397 2208995 2650794 4417990 5743387 6626985 11486774 13253970 17230161 28716935 31367729 34460322 57433870 62735458 86150805 94103187 156838645 172301610 188206374 313677290 407780477 470515935 815560954 941031870 1223341431 2038902385 2446682862 4077804770 6116707155 12233414310