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BaseRepresentation
bin10011000000001011…
…00010111001101000
3222022222212100101220
421200011202321220
5131343203013000
64404200142040
7510546402102
oct114005427150
928288770356
1010202001000
114365844394
121b88767920
13c677c54a9
153ea9b01a0
hex260162e68

10202001000 has 128 divisors (see below), whose sum is σ = 31927858560. Its totient is φ = 2712192000.

The previous prime is 10202000993. The next prime is 10202001041. The reversal of 10202001000 is 10020201.

Adding to 10202001000 its reverse (10020201), we get a palindrome (10212021201).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10202001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005955 + ... + 1016045.

It is an arithmetic number, because the mean of its divisors is an integer number (249436395).

Almost surely, 210202001000 is an apocalyptic number.

10202001000 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 10202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963929280).

10202001000 is an abundant number, since it is smaller than the sum of its proper divisors (21725857560).

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

10202001000 is a wasteful number, since it uses less digits than its factorization.

10202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The spelling of 10202001000 in words is "ten billion, two hundred two million, one thousand".