Search a number
-
+
10201033032 = 2334756316063
BaseRepresentation
bin10011000000000011…
…10110100101001000
3222022221001011121020
421200001312211020
5131342431024112
64404123312440
7510535231041
oct114001664510
928287034536
1010201033032
114365243113
121b8837b720
13c67546a28
146cab338c8
153ea86d48c
hex260076948

10201033032 has 64 divisors (see below), whose sum is σ = 26093076480. Its totient is φ = 3321878592.

The previous prime is 10201033001. The next prime is 10201033109. The reversal of 10201033032 is 23033010201.

It is a super-2 number, since 2×102010330322 (a number of 21 digits) contains 22 as substring.

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, 627033 + ... + 643095.

It is an arithmetic number, because the mean of its divisors is an integer number (407704320).

Almost surely, 210201033032 is an apocalyptic number.

10201033032 is a gapful number since it is divisible by the number (12) 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 10201033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046538240).

10201033032 is an abundant number, since it is smaller than the sum of its proper divisors (15892043448).

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

10201033032 is a wasteful number, since it uses less digits than its factorization.

10201033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10201033032 its reverse (23033010201), we get a palindrome (33234043233).

The spelling of 10201033032 in words is "ten billion, two hundred one million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 563 564 1126 1128 1689 2252 3378 4504 6756 13512 16063 26461 32126 48189 52922 64252 79383 96378 105844 128504 158766 192756 211688 317532 385512 635064 754961 1509922 2264883 3019844 4529766 6039688 9043469 9059532 18086938 18119064 27130407 36173876 54260814 72347752 108521628 217043256 425043043 850086086 1275129129 1700172172 2550258258 3400344344 5100516516 10201033032