Search a number
-
+
103533592032 = 253213177322283
BaseRepresentation
bin110000001101100010…
…1010011110111100000
3100220020102201102020200
41200123011103313200
53144014044421112
6115321312105200
710323442004043
oct1403305236740
9326212642220
10103533592032
113a9aa0170a2
1218095235200
1399bc90acc0
145022484c5a
152a5e57ecdc
hex181b153de0

103533592032 has 288 divisors, whose sum is σ = 340337114208. Its totient is φ = 29570531328.

The previous prime is 103533591991. The next prime is 103533592033. The reversal of 103533592032 is 230295335301.

It is a happy number.

103533592032 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 33 + 592 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1035335920322 (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 not an unprimeable number, because it can be changed into a prime (103533592033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4635163 + ... + 4657445.

It is an arithmetic number, because the mean of its divisors is an integer number (1181726091).

Almost surely, 2103533592032 is an apocalyptic number.

103533592032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103533592032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170168557104).

103533592032 is an abundant number, since it is smaller than the sum of its proper divisors (236803522176).

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

103533592032 is a wasteful number, since it uses less digits than its factorization.

103533592032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22402 (or 22391 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 103533592032 in words is "one hundred three billion, five hundred thirty-three million, five hundred ninety-two thousand, thirty-two".