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103012411002435 = 32511257809750509
BaseRepresentation
bin10111011011000001110010…
…001010100100111001000011
3111111201220001001002001102200
4113123001302022210321003
5102000223404204034220
61003031125345044243
730461254401161034
oct2733016212447103
9444656031061380
10103012411002435
112a906355534760
12b6785b4026683
13456304b001b6c
141b61b82152a8b
15bd98c88bc890
hex5db0722a4e43

103012411002435 has 48 divisors (see below), whose sum is σ = 195545031158880. Its totient is φ = 49751071211520.

The previous prime is 103012411002421. The next prime is 103012411002451. The reversal of 103012411002435 is 534200114210301.

103012411002435 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 2 + 411 + 0 + 0 + 243 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-103012411002435 is a prime.

It is a super-2 number, since 2×1030124110024352 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012411002399 and 103012411002408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404748040 + ... + 405002469.

It is an arithmetic number, because the mean of its divisors is an integer number (4073854815810).

Almost surely, 2103012411002435 is an apocalyptic number.

103012411002435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103012411002435 is a deficient number, since it is larger than the sum of its proper divisors (92532620156445).

103012411002435 is a wasteful number, since it uses less digits than its factorization.

103012411002435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809750788 (or 809750785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 103012411002435 its reverse (534200114210301), we get a palindrome (637212525212736).

The spelling of 103012411002435 in words is "one hundred three trillion, twelve billion, four hundred eleven million, two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 257 495 771 1285 2313 2827 3855 8481 11565 14135 25443 42405 127215 809750509 2429251527 4048752545 7287754581 8907255599 12146257635 26721766797 36438772905 44536277995 80165300391 133608833985 208105880813 400826501955 624317642439 1040529404065 1872952927317 2289164688943 3121588212195 6867494066829 9364764636585 11445823444715 20602482200487 34337470334145 103012411002435