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210131020000 = 2554112312801
BaseRepresentation
bin1100001110110011001…
…0001110100011100000
3202002101101120211021101
43003230302032203200
511420322020120000
6240311033004144
721116146125316
oct3035462164340
9662341524241
10210131020000
1181130534500
1234884553654
1316a7a1c1475
14a2557cc0b6
1556ecab2e6a
hex30ecc8e8e0

210131020000 has 360 divisors, whose sum is σ = 586761126336. Its totient is φ = 73920000000.

The previous prime is 210131019997. The next prime is 210131020069. The reversal of 210131020000 is 20131012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 59 ways as a sum of consecutive naturals, for example, 75018600 + ... + 75021400.

Almost surely, 2210131020000 is an apocalyptic number.

210131020000 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 210131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293380563168).

210131020000 is an abundant number, since it is smaller than the sum of its proper divisors (376630106336).

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

210131020000 is a wasteful number, since it uses less digits than its factorization.

210131020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 210131020000 its reverse (20131012), we get a palindrome (210151151012).

The spelling of 210131020000 in words is "two hundred ten billion, one hundred thirty-one million, twenty thousand".