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210120150240 = 2532571113145771
BaseRepresentation
bin1100001110110000100…
…0110000110011100000
3202002100122010120202200
43003230020300303200
511420311224301430
6240310004013200
721115654544130
oct3035410606340
9662318116680
10210120150240
118112538a930
1234880991200
1316a77b86a60
14a25419cac0
1556ebb67460
hex30ec230ce0

210120150240 has 576 divisors, whose sum is σ = 962738929152. Its totient is φ = 40302489600.

The previous prime is 210120150239. The next prime is 210120150257. The reversal of 210120150240 is 42051021012.

210120150240 is a `hidden beast` number, since 2 + 1 + 0 + 120 + 1 + 502 + 40 = 666.

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

It is a congruent number.

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, 1368555 + ... + 1514325.

It is an arithmetic number, because the mean of its divisors is an integer number (1671421752).

Almost surely, 2210120150240 is an apocalyptic number.

210120150240 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 210120150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481369464576).

210120150240 is an abundant number, since it is smaller than the sum of its proper divisors (752618778912).

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

210120150240 is a wasteful number, since it uses less digits than its factorization.

210120150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145823 (or 145812 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 210120150240 its reverse (42051021012), we get a palindrome (252171171252).

The spelling of 210120150240 in words is "two hundred ten billion, one hundred twenty million, one hundred fifty thousand, two hundred forty".