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14021201300220 = 22345611111712763
BaseRepresentation
bin1100110000001001000010…
…1110010000101011111100
31211122102011121220121010000
43030002100232100223330
53314210410013101340
645453130112314300
72644666303416342
oct314022056205374
954572147817100
1014021201300220
1145163a3669304
1216a549bb42990
137a9269489aca
143668b6101992
15194acc35ed30
hexcc090b90afc

14021201300220 has 240 divisors, whose sum is σ = 44713618332768. Its totient is φ = 3677073200640.

The previous prime is 14021201300213. The next prime is 14021201300221. The reversal of 14021201300220 is 2200310212041.

It is a happy number.

14021201300220 is a `hidden beast` number, since 1 + 402 + 12 + 0 + 1 + 30 + 0 + 220 = 666.

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 = 14021201300193 and 14021201300202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021201300221) 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 79 ways as a sum of consecutive naturals, for example, 1098575559 + ... + 1098588321.

Almost surely, 214021201300220 is an apocalyptic number.

14021201300220 is a gapful number since it is divisible by the number (10) 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 14021201300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356809166384).

14021201300220 is an abundant number, since it is smaller than the sum of its proper divisors (30692417032548).

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

14021201300220 is a wasteful number, since it uses less digits than its factorization.

14021201300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23962 (or 23951 counting only the distinct ones).

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

Adding to 14021201300220 its reverse (2200310212041), we get a palindrome (16221511512261).

The spelling of 14021201300220 in words is "fourteen trillion, twenty-one billion, two hundred one million, three hundred thousand, two hundred twenty".