Search a number
-
+
101331432 = 2333469127
BaseRepresentation
bin1100000101000…
…11000111101000
321001200011121000
412002203013220
5201420101212
614015515000
72340205626
oct602430750
9231604530
10101331432
1152220894
1229b28a60
1317cbb837
14d65a516
158d691dc
hex60a31e8

101331432 has 32 divisors (see below), whose sum is σ = 281476800. Its totient is φ = 33777072.

The previous prime is 101331409. The next prime is 101331437. The reversal of 101331432 is 234133101.

It is a super-2 number, since 2×1013314322 = 20536118222341248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234348 + ... + 234779.

It is an arithmetic number, because the mean of its divisors is an integer number (8796150).

Almost surely, 2101331432 is an apocalyptic number.

101331432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331432 is an abundant number, since it is smaller than the sum of its proper divisors (180145368).

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

101331432 is a wasteful number, since it uses less digits than its factorization.

101331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469142 (or 469132 counting only the distinct ones).

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

The square root of 101331432 is about 10066.3514740943. The cubic root of 101331432 is about 466.2097945863.

Adding to 101331432 its reverse (234133101), we get a palindrome (335464533).

The spelling of 101331432 in words is "one hundred one million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 469127 938254 1407381 1876508 2814762 3753016 4222143 5629524 8444286 11259048 12666429 16888572 25332858 33777144 50665716 101331432