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210002220120 = 233571153571751
BaseRepresentation
bin1100001110010100011…
…0111001010001011000
3202002001102020010001110
43003211012321101120
511420041032020440
6240250152220320
721113023263420
oct3034506712130
9662042203043
10210002220120
1181074862220
123484939a6a0
1316a59606014
14a242661480
1556e1620080
hex30e51b9458

210002220120 has 512 divisors, whose sum is σ = 802751938560. Its totient is φ = 42681600000.

The previous prime is 210002220119. The next prime is 210002220133. The reversal of 210002220120 is 21022200012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210002220096 and 210002220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279629745 + ... + 279630495.

It is an arithmetic number, because the mean of its divisors is an integer number (1567874880).

Almost surely, 2210002220120 is an apocalyptic number.

210002220120 is a gapful number since it is divisible by the number (20) 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 210002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401375969280).

210002220120 is an abundant number, since it is smaller than the sum of its proper divisors (592749718440).

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

210002220120 is a wasteful number, since it uses less digits than its factorization.

210002220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210002220120 its reverse (21022200012), we get a palindrome (231024420132).

The spelling of 210002220120 in words is "two hundred ten billion, two million, two hundred twenty thousand, one hundred twenty".