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10000411311 = 3114113753951
BaseRepresentation
bin10010101000001001…
…00010101010101111
3221210221112112100010
421110010202222233
5130440101130221
64332155304303
7502551044052
oct112404425257
927727475303
1010000411311
114271a76040
121b3114b093
13c34b02757
146ac22ca99
153d7e3ec76
hex254122aaf

10000411311 has 32 divisors (see below), whose sum is σ = 15009878016. Its totient is φ = 5869760000.

The previous prime is 10000411297. The next prime is 10000411327. The reversal of 10000411311 is 11311400001.

It is a cyclic number.

It is not a de Polignac number, because 10000411311 - 214 = 10000394927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000411711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158386 + ... + 212336.

It is an arithmetic number, because the mean of its divisors is an integer number (469058688).

Almost surely, 210000411311 is an apocalyptic number.

10000411311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000411311 is a deficient number, since it is larger than the sum of its proper divisors (5009466705).

10000411311 is a wasteful number, since it uses less digits than its factorization.

10000411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54143.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10000411311 its reverse (11311400001), we get a palindrome (21311811312).

The spelling of 10000411311 in words is "ten billion, four hundred eleven thousand, three hundred eleven".

Divisors: 1 3 11 33 41 123 137 411 451 1353 1507 4521 5617 16851 53951 61787 161853 185361 593461 1780383 2211991 6635973 7391287 22173861 24331901 72995703 81304157 243912471 303042767 909128301 3333470437 10000411311