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1010137500 = 2233554173
BaseRepresentation
bin111100001101010…
…111100110011100
32121101202022011000
4330031113212130
54032043400000
6244122430300
734014012201
oct7415274634
92541668130
101010137500
11479218289
12242362390
131313794c8
1498229ca8
155da35000
hex3c35799c

1010137500 has 288 divisors, whose sum is σ = 3399157440. Its totient is φ = 259200000.

The previous prime is 1010137423. The next prime is 1010137517. The reversal of 1010137500 is 57310101.

It is a happy number.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13837464 + ... + 13837536.

It is an arithmetic number, because the mean of its divisors is an integer number (11802630).

Almost surely, 21010137500 is an apocalyptic number.

1010137500 is a gapful number since it is divisible by the number (10) 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 1010137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699578720).

1010137500 is an abundant number, since it is smaller than the sum of its proper divisors (2389019940).

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

1010137500 is an equidigital number, since it uses as much as digits as its factorization.

1010137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1010137500 is about 31782.6603669359. The cubic root of 1010137500 is about 1003.3678117777.

Adding to 1010137500 its reverse (57310101), we get a palindrome (1067447601).

The spelling of 1010137500 in words is "one billion, ten million, one hundred thirty-seven thousand, five hundred".