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103320111132304 = 241141112312749953
BaseRepresentation
bin10111011111100000010110…
…100001011010111010010000
3111112211022021012011012120221
4113133200112201122322100
5102020244041422213204
61003424334230442424
730522426446134543
oct2737402641327220
9445738235135527
10103320111132304
112aa148a4203550
12b708168203414
1345860771bcc21
141b72a11bc085a
15be28d7091654
hex5df81685ae90

103320111132304 has 80 divisors (see below), whose sum is σ = 223906736176704. Its totient is φ = 45777427660800.

The previous prime is 103320111132281. The next prime is 103320111132307. The reversal of 103320111132304 is 403231111023301.

It is not an unprimeable number, because it can be changed into a prime (103320111132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728592 + ... + 14478544.

Almost surely, 2103320111132304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103320111132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111953368088352).

103320111132304 is an abundant number, since it is smaller than the sum of its proper divisors (120586625044400).

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

103320111132304 is a wasteful number, since it uses less digits than its factorization.

103320111132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12751136 (or 12751130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 103320111132304 its reverse (403231111023301), we get a palindrome (506551222155605).

The spelling of 103320111132304 in words is "one hundred three trillion, three hundred twenty billion, one hundred eleven million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1123 1804 2246 3608 4492 7216 8984 12353 17968 24706 46043 49412 92086 98824 184172 197648 368344 506473 736688 1012946 2025892 4051784 8103568 12749953 25499906 50999812 101999624 140249483 203999248 280498966 522748073 560997932 1045496146 1121995864 2090992292 2243991728 4181984584 5750228803 8363969168 11500457606 14318197219 23000915212 28636394438 46001830424 57272788876 92003660848 114545577752 157500169409 229091155504 315000338818 587046085979 630000677636 1174092171958 1260001355272 2348184343916 2520002710544 4696368687832 6457506945769 9392737375664 12915013891538 25830027783076 51660055566152 103320111132304