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101402214444312 = 23373123631468151
BaseRepresentation
bin10111000011100110001010…
…111110001010110100011000
3111022000221211200011202021120
4113003212022332022310120
5101242333213344204222
6555355311220405240
730234032255231205
oct2703461276126430
9438027750152246
10101402214444312
112a34548a55a231
12b458518546820
13447725976aba2
141b07c71578cac
15baca8705115c
hex5c398af8ad18

101402214444312 has 64 divisors (see below), whose sum is σ = 256980842204160. Its totient is φ = 33337373472000.

The previous prime is 101402214444287. The next prime is 101402214444341. The reversal of 101402214444312 is 213444412204101.

101402214444312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216367437 + ... + 216835587.

It is an arithmetic number, because the mean of its divisors is an integer number (4015325659440).

Almost surely, 2101402214444312 is an apocalyptic number.

101402214444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101402214444312 is an abundant number, since it is smaller than the sum of its proper divisors (155578627759848).

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

101402214444312 is a wasteful number, since it uses less digits than its factorization.

101402214444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591864 (or 591860 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 101402214444312 its reverse (213444412204101), we get a palindrome (314846626648413).

The spelling of 101402214444312 in words is "one hundred one trillion, four hundred two billion, two hundred fourteen million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 123631 247262 370893 468151 494524 741786 936302 989048 1404453 1483572 1872604 2808906 2967144 3745208 5617812 9025063 11235624 18050126 27075189 34175023 36100252 54150378 68350046 72200504 102525069 108300756 136700092 205050138 216601512 273400184 410100276 820200552 57877976281 115755952562 173633928843 231511905124 347267857686 463023810248 694535715372 1389071430744 4225092268513 8450184537026 12675276805539 16900369074052 25350553611078 33800738148104 50701107222156 101402214444312