Search a number
-
+
106383412152 = 2333492515797
BaseRepresentation
bin110001100010011110…
…0100000101110111000
3101011121001011021112000
41203010330200232320
53220333123142102
6120512153421000
710454165040363
oct1430474405670
9334531137460
10106383412152
1141131732136
121874b70a760
13a05515c7b4
145212b570da
152b7985b01c
hex18c4f20bb8

106383412152 has 32 divisors (see below), whose sum is σ = 295509478800. Its totient is φ = 35461137312.

The previous prime is 106383412139. The next prime is 106383412169. The reversal of 106383412152 is 251214383601.

106383412152 is a `hidden beast` number, since 1 + 0 + 638 + 3 + 4 + 1 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×1063834121522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246257683 + ... + 246258114.

Almost surely, 2106383412152 is an apocalyptic number.

106383412152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106383412152 is an abundant number, since it is smaller than the sum of its proper divisors (189126066648).

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

106383412152 is a wasteful number, since it uses less digits than its factorization.

106383412152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492515812 (or 492515802 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 106383412152 its reverse (251214383601), we get a palindrome (357597795753).

The spelling of 106383412152 in words is "one hundred six billion, three hundred eighty-three million, four hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 492515797 985031594 1477547391 1970063188 2955094782 3940126376 4432642173 5910189564 8865284346 11820379128 13297926519 17730568692 26595853038 35461137384 53191706076 106383412152