Search a number
-
+
10201031000 = 235317956989
BaseRepresentation
bin10011000000000011…
…10110000101011000
3222022221001001210222
421200001312011120
5131342430443000
64404123255212
7510535222106
oct114001660530
928287031728
1010201031000
114365241636
121b8837a508
13c67545b24
146cab32c76
153ea86ca85
hex260076158

10201031000 has 64 divisors (see below), whose sum is σ = 24004188000. Its totient is φ = 4057545600.

The previous prime is 10201030991. The next prime is 10201031021. The reversal of 10201031000 is 13010201.

It is a super-2 number, since 2×102010310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150506 + ... + 207494.

Almost surely, 210201031000 is an apocalyptic number.

10201031000 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 10201031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002094000).

10201031000 is an abundant number, since it is smaller than the sum of its proper divisors (13803157000).

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

10201031000 is a wasteful number, since it uses less digits than its factorization.

10201031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57189 (or 57175 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10201031000 its reverse (13010201), we get a palindrome (10214041201).

The spelling of 10201031000 in words is "ten billion, two hundred one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 3580 4475 7160 8950 17900 22375 35800 44750 56989 89500 113978 179000 227956 284945 455912 569890 1139780 1424725 2279560 2849450 5698900 7123625 10201031 11397800 14247250 20402062 28494500 40804124 51005155 56989000 81608248 102010310 204020620 255025775 408041240 510051550 1020103100 1275128875 2040206200 2550257750 5100515500 10201031000