Search a number
-
+
10132120332 = 2233127973351
BaseRepresentation
bin10010110111110101…
…11110001100001100
3222011010101001011000
421123322332030030
5131222310322312
64353222300300
7506040413265
oct113372761414
928133331130
1010132120332
11432a354a74
121b69287690
13c56199099
146c191596c
153e47a9adc
hex25bebe30c

10132120332 has 48 divisors (see below), whose sum is σ = 26289356800. Its totient is φ = 3374686800.

The previous prime is 10132120331. The next prime is 10132120393. The reversal of 10132120332 is 23302123101.

10132120332 is a `hidden beast` number, since 10 + 1 + 321 + 2 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10132120331) 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, 101457 + ... + 174807.

Almost surely, 210132120332 is an apocalyptic number.

10132120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132120332 is an abundant number, since it is smaller than the sum of its proper divisors (16157236468).

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

10132120332 is a wasteful number, since it uses less digits than its factorization.

10132120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74643 (or 74635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132120332 its reverse (23302123101), we get a palindrome (33434243433).

The spelling of 10132120332 in words is "ten billion, one hundred thirty-two million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1279 2558 3837 5116 7674 11511 15348 23022 34533 46044 69066 73351 138132 146702 220053 293404 440106 660159 880212 1320318 1980477 2640636 3960954 7921908 93815929 187631858 281447787 375263716 562895574 844343361 1125791148 1688686722 2533030083 3377373444 5066060166 10132120332