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2131242300 = 2233521173983
BaseRepresentation
bin111111100001000…
…0010110100111100
312111112022022211000
41333002002310330
513331044223200
6551251530300
7103546155255
oct17702026474
95445268730
102131242300
119a4037980
124b58b9990
1327c709425
1416309db2c
15c7189300
hex7f082d3c

2131242300 has 288 divisors, whose sum is σ = 7584514560. Its totient is φ = 509068800.

The previous prime is 2131242299. The next prime is 2131242341. The reversal of 2131242300 is 32421312.

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, 2167609 + ... + 2168591.

It is an arithmetic number, because the mean of its divisors is an integer number (26335120).

Almost surely, 22131242300 is an apocalyptic number.

2131242300 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 2131242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792257280).

2131242300 is an abundant number, since it is smaller than the sum of its proper divisors (5453272260).

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

2131242300 is a wasteful number, since it uses less digits than its factorization.

2131242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1077 counting only the distinct ones).

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

The square root of 2131242300 is about 46165.3798857975. The cubic root of 2131242300 is about 1286.8984439619.

Adding to 2131242300 its reverse (32421312), we get a palindrome (2163663612).

The spelling of 2131242300 in words is "two billion, one hundred thirty-one million, two hundred forty-two thousand, three hundred".