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103413211416 = 233222713614649
BaseRepresentation
bin110000001001111101…
…0000110000100011000
3100212221001012110002100
41200103322012010120
53143242240231131
6115301332003400
710320450536124
oct1402372060430
9325831173070
10103413211416
113a948075389
1218060a60560
1399a09aca78
1450104aa584
152a53c017e6
hex1813e86118

103413211416 has 96 divisors (see below), whose sum is σ = 281578518000. Its totient is φ = 34286622720.

The previous prime is 103413211387. The next prime is 103413211417. The reversal of 103413211416 is 614112314301.

103413211416 is a `hidden beast` number, since 1 + 0 + 34 + 1 + 3 + 211 + 416 = 666.

It is a super-3 number, since 3×1034132114163 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103413211416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103413211417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22241860 + ... + 22246508.

Almost surely, 2103413211416 is an apocalyptic number.

It is an amenable number.

103413211416 is an abundant number, since it is smaller than the sum of its proper divisors (178165306584).

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

103413211416 is a wasteful number, since it uses less digits than its factorization.

103413211416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103413211416 its reverse (614112314301), we get a palindrome (717525525717).

The spelling of 103413211416 in words is "one hundred three billion, four hundred thirteen million, two hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 908 1361 1362 1816 2043 2722 2724 4083 4086 4649 5444 5448 8166 8172 9298 10888 12249 13947 16332 16344 18596 24498 27894 32664 37192 41841 48996 55788 83682 97992 111576 167364 308947 334728 617894 926841 1055323 1235788 1853682 2110646 2471576 2780523 3165969 3707364 4221292 5561046 6327289 6331938 7414728 8442584 9497907 11122092 12654578 12663876 18981867 18995814 22244184 25309156 25327752 37963734 37991628 50618312 56945601 75927468 75983256 113891202 151854936 227782404 455564808 1436294603 2872589206 4308883809 5745178412 8617767618 11490356824 12926651427 17235535236 25853302854 34471070472 51706605708 103413211416