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30022112220320 = 25511241233271599
BaseRepresentation
bin1101101001110000100010…
…10101011001010010100000
310221022002022121201221022002
412310320101111121102200
512413340241212022240
6143503545024503132
76216011633224643
oct664702125312240
9127262277657262
1030022112220320
119625340745500
12344a5a077aaa8
13139a0c45c309c
1475b113dbda5a
15370e261c2d15
hex1b4e115594a0

30022112220320 has 576 divisors, whose sum is σ = 80635956710400. Its totient is φ = 10548375552000.

The previous prime is 30022112220263. The next prime is 30022112220389. The reversal of 30022112220320 is 2302221122003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30022112220292 and 30022112220301.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 50120387381 + ... + 50120387979.

It is an arithmetic number, because the mean of its divisors is an integer number (139992980400).

Almost surely, 230022112220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022112220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40317978355200).

30022112220320 is an abundant number, since it is smaller than the sum of its proper divisors (50613844490080).

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

30022112220320 is a wasteful number, since it uses less digits than its factorization.

30022112220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30022112220320 its reverse (2302221122003), we get a palindrome (32324333342323).

The spelling of 30022112220320 in words is "thirty trillion, twenty-two billion, one hundred twelve million, two hundred twenty thousand, three hundred twenty".