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103110414441340 = 225292693739176753
BaseRepresentation
bin10111011100011101000011…
…101000000001101101111100
3111112002021000001211120202011
4113130131003220001231330
5102003330112044110330
61003144134230541004
730501324122516515
oct2734350350015574
9445067001746664
10103110414441340
112a943976961969
12b6935a5207764
13456c368c9c5b7
141b667dbd71a0c
15bdc2126c382a
hex5dc743a01b7c

103110414441340 has 96 divisors (see below), whose sum is σ = 224892598392000. Its totient is φ = 39663080927232.

The previous prime is 103110414441329. The next prime is 103110414441383. The reversal of 103110414441340 is 43144414011301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583270404 + ... + 583447156.

It is an arithmetic number, because the mean of its divisors is an integer number (2342631233250).

Almost surely, 2103110414441340 is an apocalyptic number.

103110414441340 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 103110414441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112446299196000).

103110414441340 is an abundant number, since it is smaller than the sum of its proper divisors (121782183950660).

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

103110414441340 is a wasteful number, since it uses less digits than its factorization.

103110414441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180799 (or 180797 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 103110414441340 its reverse (43144414011301), we get a palindrome (146254828452641).

The spelling of 103110414441340 in words is "one hundred three trillion, one hundred ten billion, four hundred fourteen million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1345 2690 3739 5380 7478 7801 14956 15602 18695 31204 37390 39005 74780 78010 108431 156020 176753 216862 353506 433724 542155 707012 883765 1005791 1084310 1767530 2011582 2168620 3535060 4023164 5028955 5125837 10057910 10251674 20115820 20503348 25629185 29167939 47546557 51258370 58335878 95093114 102516740 116671756 145839695 190186228 237732785 291679390 475465570 583358780 660879467 950931140 1321758934 1378850153 2643517868 2757700306 3304397335 5515400612 6608794670 6894250765 13217589340 13788501530 19165504543 27577003060 38331009086 76662018172 95827522715 177776576623 191655045430 355553153246 383310090860 711106306492 888882883115 1777765766230 3555531532460 5155520722067 10311041444134 20622082888268 25777603610335 51555207220670 103110414441340