Search a number
-
+
10133110032 = 2431718116857
BaseRepresentation
bin10010110111111101…
…01111110100010000
3222011012020022202120
421123332233310100
5131223034010112
64353255414240
7506052004563
oct113376576420
928135208676
1010133110032
11432a970601
121b69684380
13c564546c6
146c1ad24da
153e4902e8c
hex25bfafd10

10133110032 has 80 divisors (see below), whose sum is σ = 27736385472. Its totient is φ = 3176796160.

The previous prime is 10133110019. The next prime is 10133110033. The reversal of 10133110032 is 23001133101.

It is a junction number, because it is equal to n+sod(n) for n = 10133109993 and 10133110020.

It is not an unprimeable number, because it can be changed into a prime (10133110033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474348 + ... + 1481204.

Almost surely, 210133110032 is an apocalyptic number.

10133110032 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 10133110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868192736).

10133110032 is an abundant number, since it is smaller than the sum of its proper divisors (17603275440).

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

10133110032 is a wasteful number, since it uses less digits than its factorization.

10133110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133110032 its reverse (23001133101), we get a palindrome (33134243133).

The spelling of 10133110032 in words is "ten billion, one hundred thirty-three million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1811 3622 5433 6857 7244 10866 13714 14488 20571 21732 27428 28976 30787 41142 43464 54856 61574 82284 86928 92361 109712 116569 123148 164568 184722 233138 246296 329136 349707 369444 466276 492592 699414 738888 932552 1398828 1477776 1865104 2797656 5595312 12418027 24836054 37254081 49672108 74508162 99344216 149016324 198688432 211106459 298032648 422212918 596065296 633319377 844425836 1266638754 1688851672 2533277508 3377703344 5066555016 10133110032