Search a number
-
+
10232000020 = 2251177360167
BaseRepresentation
bin10011000011101111…
…11110111000010100
3222102002022110022201
421201313332320110
5131423343000040
64411151134244
7511362364564
oct114167767024
928362273281
1010232000020
114380774070
121b96814384
13c70a99ba8
146d0cb4da4
153ed438a9a
hex261dfee14

10232000020 has 48 divisors (see below), whose sum is σ = 23471296128. Its totient is φ = 3715852160.

The previous prime is 10231999957. The next prime is 10232000021. The reversal of 10232000020 is 2000023201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10231999970 and 10232000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232000021) 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 15 ways as a sum of consecutive naturals, for example, 139977 + ... + 200143.

It is an arithmetic number, because the mean of its divisors is an integer number (488985336).

Almost surely, 210232000020 is an apocalyptic number.

10232000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232000020 is an abundant number, since it is smaller than the sum of its proper divisors (13239296108).

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

10232000020 is a wasteful number, since it uses less digits than its factorization.

10232000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60960 (or 60958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10232000020 its reverse (2000023201), we get a palindrome (12232023221).

The spelling of 10232000020 in words is "ten billion, two hundred thirty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 773 1546 3092 3865 7730 8503 15460 17006 34012 42515 60167 85030 120334 170060 240668 300835 601670 661837 1203340 1323674 2647348 3309185 6618370 13236740 46509091 93018182 186036364 232545455 465090910 511600001 930181820 1023200002 2046400004 2558000005 5116000010 10232000020