Search a number
-
+
331401333133120 = 2656431610620787
BaseRepresentation
bin100101101011010000110001…
…0101111010100111101000000
31121110101122202201011022122211
41023112201202233110331000
5321414134412240224440
63132455400511511504
7126542645655234655
oct11326414257247500
91543348681138584
10331401333133120
119665a574a36478
123120396bb28594
13112bc01c6b6ca3
145bb9ca5495c2c
15284a79882eeea
hex12d6862bd4f40

331401333133120 has 56 divisors (see below), whose sum is σ = 790376718053664. Its totient is φ = 132354373710336.

The previous prime is 331401333133061. The next prime is 331401333133177. The reversal of 331401333133120 is 21331333104133.

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 7 ways as a sum of consecutive naturals, for example, 805104634 + ... + 805516153.

It is an arithmetic number, because the mean of its divisors is an integer number (14113869965244).

Almost surely, 2331401333133120 is an apocalyptic number.

It is an amenable number.

331401333133120 is an abundant number, since it is smaller than the sum of its proper divisors (458975384920544).

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

331401333133120 is a wasteful number, since it uses less digits than its factorization.

331401333133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610621447 (or 1610621437 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 331401333133120 its reverse (21331333104133), we get a palindrome (352732666237253).

The spelling of 331401333133120 in words is "three hundred thirty-one trillion, four hundred one billion, three hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 643 1286 2572 3215 5144 6430 10288 12860 20576 25720 41152 51440 102880 205760 1610620787 3221241574 6442483148 8053103935 12884966296 16106207870 25769932592 32212415740 51539865184 64424831480 103079730368 128849662960 257699325920 515398651840 1035629166041 2071258332082 4142516664164 5178145830205 8285033328328 10356291660410 16570066656656 20712583320820 33140133313312 41425166641640 66280266626624 82850333283280 165700666566560 331401333133120