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21232213002 = 232711131769317
BaseRepresentation
bin10011110001100010…
…011101110000001010
32000210201011011201100
4103301202131300022
5321440421304002
613430504002230
71351103555430
oct236142356012
960721134640
1021232213002
119006037980
124146760376
132004a6a460
141055bdcd50
1584401b11c
hex4f189dc0a

21232213002 has 192 divisors, whose sum is σ = 65400701184. Its totient is φ = 4791121920.

The previous prime is 21232212961. The next prime is 21232213039. The reversal of 21232213002 is 20031223212.

21232213002 is a `hidden beast` number, since 212 + 322 + 130 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271648 + ... + 340964.

It is an arithmetic number, because the mean of its divisors is an integer number (340628652).

Almost surely, 221232213002 is an apocalyptic number.

21232213002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700350592).

21232213002 is an abundant number, since it is smaller than the sum of its proper divisors (44168488182).

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

21232213002 is a wasteful number, since it uses less digits than its factorization.

21232213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69373 (or 69370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21232213002 its reverse (20031223212), we get a palindrome (41263436214).

The spelling of 21232213002 in words is "twenty-one billion, two hundred thirty-two million, two hundred thirteen thousand, two".