Search a number
-
+
100323213240 = 233541612231499
BaseRepresentation
bin101110101101110111…
…0101011111110111000
3100120221200211021110110
41131123232223332320
53120430220310430
6114030550344320
710151050146105
oct1353356537670
9316850737413
10100323213240
1139601924a88
121753a05b0a0
1395ca777393
144bd9d57aac
1529227d17b0
hex175bbabfb8

100323213240 has 256 divisors, whose sum is σ = 314979840000. Its totient is φ = 25540300800.

The previous prime is 100323213239. The next prime is 100323213259. The reversal of 100323213240 is 42312323001.

It is a super-2 number, since 2×1003232132402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66926011 + ... + 66927509.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390000).

Almost surely, 2100323213240 is an apocalyptic number.

100323213240 is a gapful number since it is divisible by the number (10) 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 100323213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920000).

100323213240 is an abundant number, since it is smaller than the sum of its proper divisors (214656626760).

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

100323213240 is a wasteful number, since it uses less digits than its factorization.

100323213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100323213240 its reverse (42312323001), we get a palindrome (142635536241).

The spelling of 100323213240 in words is "one hundred billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred forty".