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103013013411 = 33711131378239
BaseRepresentation
bin101111111110000001…
…1011101011110100011
3100211220011011021122000
41133330003131132203
53141432312412121
6115153514215043
710304521111110
oct1377403353643
9324804137560
10103013013411
113a762184730
1217b6aa24483
139938acc309
144db3293907
152a2d9ee526
hex17fc0dd7a3

103013013411 has 64 divisors (see below), whose sum is σ = 191722291200. Its totient is φ = 53104615200.

The previous prime is 103013013407. The next prime is 103013013419. The reversal of 103013013411 is 114310310301.

It is not a de Polignac number, because 103013013411 - 22 = 103013013407 is a prime.

It is a super-2 number, since 2×1030130134112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013013419) 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 63 ways as a sum of consecutive naturals, for example, 83230 + ... + 461468.

It is an arithmetic number, because the mean of its divisors is an integer number (2995660800).

Almost surely, 2103013013411 is an apocalyptic number.

103013013411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103013013411 is a deficient number, since it is larger than the sum of its proper divisors (88709277789).

103013013411 is a wasteful number, since it uses less digits than its factorization.

103013013411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378397 (or 378391 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103013013411 its reverse (114310310301), we get a palindrome (217323323712).

The spelling of 103013013411 in words is "one hundred three billion, thirteen million, thirteen thousand, four hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 131 189 231 297 393 693 917 1179 1441 2079 2751 3537 4323 8253 10087 12969 24759 30261 38907 90783 272349 378239 1134717 2647673 3404151 4160629 7943019 10212453 12481887 23829057 29124403 37445661 49549309 71487171 87373209 112336983 148647927 262119627 346845163 445943781 545042399 786358881 1040535489 1337831343 1635127197 3121606467 3815296793 4905381591 9364819401 11445890379 14716144773 34337671137 103013013411