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10153197000 = 2332531736521
BaseRepresentation
bin10010111010010110…
…10111110111001000
3222012121000211220100
421131023113313020
5131243204301000
64355254125400
7506414515302
oct113513276710
928177024810
1010153197000
114340240201
121b74350860
13c5a66859b
146c4640972
153e656ea00
hex25d2d7dc8

10153197000 has 192 divisors, whose sum is σ = 34521467760. Its totient is φ = 2691456000.

The previous prime is 10153196969. The next prime is 10153197001. The reversal of 10153197000 is 79135101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3974293764 + 6178903236 = 63042^2 + 78606^2 .

It is not an unprimeable number, because it can be changed into a prime (10153197001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553740 + ... + 1560260.

Almost surely, 210153197000 is an apocalyptic number.

10153197000 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 10153197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260733880).

10153197000 is an abundant number, since it is smaller than the sum of its proper divisors (24368270760).

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

10153197000 is a wasteful number, since it uses less digits than its factorization.

10153197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The spelling of 10153197000 in words is "ten billion, one hundred fifty-three million, one hundred ninety-seven thousand".