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3010401401220 = 2232531412320939
BaseRepresentation
bin101011110011101001111…
…001111111100110000100
3101122210101001100012112100
4223303221321333212010
5343310300224314340
610222543113352100
7430331360465013
oct53635171774604
911583331305470
103010401401220
11a60782123434
12407529408630
1318ab5872c695
14a59c04a6a7a
1553492990830
hex2bce9e7f984

3010401401220 has 216 divisors, whose sum is σ = 9661659920640. Its totient is φ = 757927180800.

The previous prime is 3010401401213. The next prime is 3010401401263. The reversal of 3010401401220 is 221041040103.

3010401401220 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 40 + 1 + 401 + 220 = 666.

It is a super-4 number, since 4×30104014012204 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3010401401193 and 3010401401202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9219511 + ... + 9540449.

It is an arithmetic number, because the mean of its divisors is an integer number (44729907040).

Almost surely, 23010401401220 is an apocalyptic number.

3010401401220 is a gapful number since it is divisible by the number (30) 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 3010401401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830829960320).

3010401401220 is an abundant number, since it is smaller than the sum of its proper divisors (6651258519420).

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

3010401401220 is a wasteful number, since it uses less digits than its factorization.

3010401401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321067 (or 321021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3010401401220 its reverse (221041040103), we get a palindrome (3231442441323).

The spelling of 3010401401220 in words is "three trillion, ten billion, four hundred one million, four hundred one thousand, two hundred twenty".