Search a number
-
+
106032405140 = 22547112800431
BaseRepresentation
bin110001011000000000…
…1100001101010010100
3101010200120200021102022
41202300001201222110
53214123243431030
6120413254232312
710442403400334
oct1426001415224
9333616607368
10106032405140
1140a7158a3a2
1218672055698
139cca51313c
1451bc2a70c4
152b58b23de5
hex18b0061a94

106032405140 has 24 divisors (see below), whose sum is σ = 227405670912. Its totient is φ = 41510558240.

The previous prime is 106032405121. The next prime is 106032405203. The reversal of 106032405140 is 41504230601.

It is a super-2 number, since 2×1060324051402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56399276 + ... + 56401155.

It is an arithmetic number, because the mean of its divisors is an integer number (9475236288).

Almost surely, 2106032405140 is an apocalyptic number.

106032405140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106032405140 is an abundant number, since it is smaller than the sum of its proper divisors (121373265772).

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

106032405140 is a wasteful number, since it uses less digits than its factorization.

106032405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112800487 (or 112800485 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 106032405140 its reverse (41504230601), we get a palindrome (147536635741).

The spelling of 106032405140 in words is "one hundred six billion, thirty-two million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 112800431 225600862 451201724 564002155 1128004310 2256008620 5301620257 10603240514 21206481028 26508101285 53016202570 106032405140