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241222352113020 = 2235231811571614729
BaseRepresentation
bin110110110110001111110100…
…100111000000110101111100
31011122002122001110201011121010
4312312033310213000311330
5223104141334120104040
62213012004013435220
7101544511521040545
oct6666176447006574
91148078043634533
10241222352113020
116a951909128893
122307a61179bb10
13a47a229c09205
14437d31d0654cc
151cd4b30e79e80
hexdb63f49c0d7c

241222352113020 has 192 divisors, whose sum is σ = 709134902461440. Its totient is φ = 61150190745600.

The previous prime is 241222352113019. The next prime is 241222352113021. The reversal of 241222352113020 is 20311253222142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (241222352113019) and next prime (241222352113021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241222352113021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392097016 + ... + 392711744.

It is an arithmetic number, because the mean of its divisors is an integer number (3693410950320).

Almost surely, 2241222352113020 is an apocalyptic number.

241222352113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241222352113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354567451230720).

241222352113020 is an abundant number, since it is smaller than the sum of its proper divisors (467912550348420).

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

241222352113020 is a wasteful number, since it uses less digits than its factorization.

241222352113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616516 (or 616514 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 241222352113020 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, one hundred thirteen thousand, twenty".