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210130222032 = 2435177144777
BaseRepresentation
bin1100001110110010111…
…1001011101111010000
3202002101100002021200000
43003230233023233100
511420321314101112
6240311003530000
721116136263013
oct3035457135720
9662340067600
10210130222032
1181130039a25
1234884229900
1316a79ca21b3
14a25566137a
1556ec9a67dc
hex30ecbcbbd0

210130222032 has 240 divisors, whose sum is σ = 654836337792. Its totient is φ = 64993259520.

The previous prime is 210130222009. The next prime is 210130222037. The reversal of 210130222032 is 230222031012.

It is a super-2 number, since 2×2101302220322 (a number of 23 digits) contains 22 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 = 210130221996 and 210130222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210130222037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4670428 + ... + 4715204.

Almost surely, 2210130222032 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 210130222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327418168896).

210130222032 is an abundant number, since it is smaller than the sum of its proper divisors (444706115760).

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

210130222032 is a wasteful number, since it uses less digits than its factorization.

210130222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44888 (or 44870 counting only the distinct ones).

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

Adding to 210130222032 its reverse (230222031012), we get a palindrome (440352253044).

The spelling of 210130222032 in words is "two hundred ten billion, one hundred thirty million, two hundred twenty-two thousand, thirty-two".