Search a number
-
+
103232132208 = 2434152352301
BaseRepresentation
bin110000000100100011…
…1010101010001110000
3100212110102110200010000
41200021013111101300
53142404411212313
6115231342510000
710313121434322
oct1401107252160
9325412420100
10103232132208
113a864935947
1218010295300
13997231b8ca
144dd4411612
152a42d83673
hex18091d5470

103232132208 has 100 divisors (see below), whose sum is σ = 298985638248. Its totient is φ = 34387459200.

The previous prime is 103232132197. The next prime is 103232132209. The reversal of 103232132208 is 802231232301.

It is a happy number.

103232132208 is a `hidden beast` number, since 1 + 0 + 323 + 2 + 132 + 208 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232132209) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1947658 + ... + 1999958.

Almost surely, 2103232132208 is an apocalyptic number.

103232132208 is a gapful number since it is divisible by the number (18) 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 103232132208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149492819124).

103232132208 is an abundant number, since it is smaller than the sum of its proper divisors (195753506040).

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

103232132208 is a wasteful number, since it uses less digits than its factorization.

103232132208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53844 (or 53829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103232132208 its reverse (802231232301), we get a palindrome (905463364509).

The spelling of 103232132208 in words is "one hundred three billion, two hundred thirty-two million, one hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1523 3046 4569 6092 9138 12184 13707 18276 24368 27414 36552 41121 52301 54828 73104 82242 104602 109656 123363 156903 164484 209204 219312 246726 313806 328968 418408 470709 493452 627612 657936 836816 941418 986904 1255224 1412127 1882836 1973808 2510448 2824254 3765672 4236381 5648508 7531344 8472762 11297016 16945524 22594032 33891048 67782096 79654423 159308846 238963269 318617692 477926538 637235384 716889807 955853076 1274470768 1433779614 1911706152 2150669421 2867559228 3823412304 4301338842 5735118456 6452008263 8602677684 11470236912 12904016526 17205355368 25808033052 34410710736 51616066104 103232132208