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210000320100 = 2232522379281457
BaseRepresentation
bin1100001110010011111…
…1101001011001100100
3202002001021122120201100
43003210333221121210
511420040040220400
6240250043400100
721113001161124
oct3034477513144
9662037576640
10210000320100
118107378475a
1234848823030
1316a590bc24c
14a2422c8c84
1556e1397100
hex30e4fe9664

210000320100 has 432 divisors, whose sum is σ = 699550225920. Its totient is φ = 52583731200.

The previous prime is 210000320003. The next prime is 210000320141. The reversal of 210000320100 is 1023000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459519072 + ... + 459519528.

Almost surely, 2210000320100 is an apocalyptic number.

210000320100 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 210000320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349775112960).

210000320100 is an abundant number, since it is smaller than the sum of its proper divisors (489549905820).

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

210000320100 is a wasteful number, since it uses less digits than its factorization.

210000320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 210000320100 its reverse (1023000012), we get a palindrome (211023320112).

The spelling of 210000320100 in words is "two hundred ten billion, three hundred twenty thousand, one hundred".