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103416133153 = 2917532034269
BaseRepresentation
bin110000001010000010…
…1001111011000100001
3100212221020200212221211
41200110011033120201
53143244012230103
6115301514350121
710320514425244
oct1402405173041
9325836625854
10103416133153
113a949790543
1218061a2b341
1399a14938c8
145010a2b25b
152a540cc36d
hex181414f621

103416133153 has 8 divisors (see below), whose sum is σ = 107043287400. Its totient is φ = 99793051008.

The previous prime is 103416133111. The next prime is 103416133169. The reversal of 103416133153 is 351331614301.

It can be written as a sum of positive squares in 4 ways, for example, as 103388224 + 103312744929 = 10168^2 + 321423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103416133153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103416133103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966298 + ... + 1067971.

It is an arithmetic number, because the mean of its divisors is an integer number (13380410925).

Almost surely, 2103416133153 is an apocalyptic number.

It is an amenable number.

103416133153 is a deficient number, since it is larger than the sum of its proper divisors (3627154247).

103416133153 is a wasteful number, since it uses less digits than its factorization.

103416133153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036051.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 103416133153 its reverse (351331614301), we get a palindrome (454747747454).

The spelling of 103416133153 in words is "one hundred three billion, four hundred sixteen million, one hundred thirty-three thousand, one hundred fifty-three".

Divisors: 1 29 1753 50837 2034269 58993801 3566073557 103416133153