Search a number
-
+
10148403132 = 2232725753063
BaseRepresentation
bin10010111001110010…
…00101011110111100
3222012021000021221200
421130321011132330
5131240442400012
64355003255500
7506326001100
oct113471053674
928167007850
1010148403132
11433856652a
121b7281a590
13c5967a58a
146c3b53900
153e5e243dc
hex25ce457bc

10148403132 has 54 divisors (see below), whose sum is σ = 29841142968. Its totient is φ = 2899543248.

The previous prime is 10148403073. The next prime is 10148403169. The reversal of 10148403132 is 23130484101.

It is a super-2 number, since 2×101484031322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10148403096 and 10148403105.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2874768 + ... + 2878295.

Almost surely, 210148403132 is an apocalyptic number.

10148403132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10148403132 is an abundant number, since it is smaller than the sum of its proper divisors (19692739836).

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

10148403132 is a wasteful number, since it uses less digits than its factorization.

10148403132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753087 (or 5753075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10148403132 its reverse (23130484101), we get a palindrome (33278887233).

The spelling of 10148403132 in words is "ten billion, one hundred forty-eight million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5753063 11506126 17259189 23012252 34518378 40271441 51777567 69036756 80542882 103555134 120814323 161085764 207110268 241628646 281900087 362442969 483257292 563800174 724885938 845700261 1127600348 1449771876 1691400522 2537100783 3382801044 5074201566 10148403132