Search a number
-
+
10411124112 = 2432531364141
BaseRepresentation
bin10011011001000110…
…10010010110010000
3222212120100220101100
421230203102112100
5132310221432422
64441030304400
7515666044344
oct115443222620
928776326340
1010411124112
114462898704
1220267b8100
13c9bc2518c
1470a9c1624
1540e01c7ac
hex26c8d2590

10411124112 has 60 divisors (see below), whose sum is σ = 29686458204. Its totient is φ = 3404893440.

The previous prime is 10411124107. The next prime is 10411124117. The reversal of 10411124112 is 21142111401.

10411124112 is a `hidden beast` number, since 1 + 0 + 411 + 1 + 241 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10411124107) and next prime (10411124117).

It can be written as a sum of positive squares in 2 ways, for example, as 3972024576 + 6439099536 = 63024^2 + 80244^2 .

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 (10411124117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674439 + ... + 689702.

Almost surely, 210411124112 is an apocalyptic number.

10411124112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10411124112 is an abundant number, since it is smaller than the sum of its proper divisors (19275334092).

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

10411124112 is a wasteful number, since it uses less digits than its factorization.

10411124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364208 (or 1364199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10411124112 its reverse (21142111401), we get a palindrome (31553235513).

The spelling of 10411124112 in words is "ten billion, four hundred eleven million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 1364141 2728282 4092423 5456564 8184846 10913128 12277269 16369692 21826256 24554538 32739384 49109076 65478768 72299473 98218152 144598946 196436304 216898419 289197892 433796838 578395784 650695257 867593676 1156791568 1301390514 1735187352 2602781028 3470374704 5205562056 10411124112