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12022022310 = 2355924128183
BaseRepresentation
bin10110011001001000…
…11000000010100110
31011000211120000021120
423030210120002212
5144110114203220
65304533354410
7603626334504
oct131444300246
934024500246
1012022022310
11510a133331
1223b6198a06
1311978a558c
14820911674
154a5670a40
hex2cc9180a6

12022022310 has 64 divisors (see below), whose sum is σ = 29464680960. Its totient is φ = 3138347520.

The previous prime is 12022022281. The next prime is 12022022317. The reversal of 12022022310 is 1322022021.

It is a happy number.

It is a super-2 number, since 2×120220223102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12022022310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022022317) 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 31 ways as a sum of consecutive naturals, for example, 412479 + ... + 440661.

It is an arithmetic number, because the mean of its divisors is an integer number (460385640).

Almost surely, 212022022310 is an apocalyptic number.

12022022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022022310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732340480).

12022022310 is an abundant number, since it is smaller than the sum of its proper divisors (17442658650).

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

12022022310 is a wasteful number, since it uses less digits than its factorization.

12022022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28493.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12022022310 its reverse (1322022021), we get a palindrome (13344044331).

The spelling of 12022022310 in words is "twelve billion, twenty-two million, twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 241 295 354 482 590 723 885 1205 1446 1770 2410 3615 7230 14219 28183 28438 42657 56366 71095 84549 85314 140915 142190 169098 213285 281830 422745 426570 845490 1662797 3325594 4988391 6792103 8313985 9976782 13584206 16627970 20376309 24941955 33960515 40752618 49883910 67921030 101881545 203763090 400734077 801468154 1202202231 2003670385 2404404462 4007340770 6011011155 12022022310