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101340221412 = 22338929277417
BaseRepresentation
bin101111001100001011…
…0010000111111100100
3100200120120111122101210
41132120112100333210
53130021044041122
6114315520351420
710215206445363
oct1363026207744
9320516448353
10101340221412
1139a83a05301
1217782775570
13973038ac71
144c950517da
152981c2240c
hex1798590fe4

101340221412 has 48 divisors (see below), whose sum is σ = 237181351680. Its totient is φ = 33677183232.

The previous prime is 101340221407. The next prime is 101340221419. The reversal of 101340221412 is 214122043101.

101340221412 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101340221419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13659528 + ... + 13666944.

It is an arithmetic number, because the mean of its divisors is an integer number (4941278160).

Almost surely, 2101340221412 is an apocalyptic number.

101340221412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101340221412 is an abundant number, since it is smaller than the sum of its proper divisors (135841130268).

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

101340221412 is a wasteful number, since it uses less digits than its factorization.

101340221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101340221412 its reverse (214122043101), we get a palindrome (315462264513).

The spelling of 101340221412 in words is "one hundred one billion, three hundred forty million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 389 778 1167 1556 2334 2927 4668 5854 7417 8781 11708 14834 17562 22251 29668 35124 44502 89004 1138603 2277206 2885213 3415809 4554412 5770426 6831618 8655639 11540852 13663236 17311278 21709559 34622556 43419118 65128677 86838236 130257354 260514708 8445018451 16890036902 25335055353 33780073804 50670110706 101340221412