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10111311030 = 2356773137503
BaseRepresentation
bin10010110101010111…
…00101110010110110
3222002200012211011010
421122223211302312
5131201443423110
64351200253050
7505365503622
oct113253456266
928080184133
1010111311030
1143196316a7
121b62311186
13c51a914a2
146bcc5a182
153e2a49020
hex25aae5cb6

10111311030 has 128 divisors (see below), whose sum is σ = 25198967808. Its totient is φ = 2595428352.

The previous prime is 10111310977. The next prime is 10111311031. The reversal of 10111311030 is 3011311101.

It is a super-2 number, since 2×101113110302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111310997 and 10111311015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111311031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20101759 + ... + 20102261.

It is an arithmetic number, because the mean of its divisors is an integer number (196866936).

Almost surely, 210111311030 is an apocalyptic number.

10111311030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599483904).

10111311030 is an abundant number, since it is smaller than the sum of its proper divisors (15087656778).

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

10111311030 is a wasteful number, since it uses less digits than its factorization.

10111311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10111311030 its reverse (3011311101), we get a palindrome (13122622131).

The spelling of 10111311030 in words is "ten billion, one hundred eleven million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 67 73 134 137 146 201 219 274 335 365 402 411 438 503 670 685 730 822 1005 1006 1095 1370 1509 2010 2055 2190 2515 3018 4110 4891 5030 7545 9179 9782 10001 14673 15090 18358 20002 24455 27537 29346 30003 33701 36719 45895 48910 50005 55074 60006 67402 68911 73365 73438 91790 100010 101103 110157 137685 137822 146730 150015 168505 183595 202206 206733 220314 275370 300030 337010 344555 367190 413466 505515 550785 670067 689110 1011030 1033665 1101570 1340134 2010201 2067330 2460173 3350335 4020402 4617037 4920346 5030503 6700670 7380519 9234074 10051005 10061006 12300865 13851111 14761038 15091509 20102010 23085185 24601730 25152515 27702222 30183018 36902595 46170370 50305030 69255555 73805190 75457545 138511110 150915090 337043701 674087402 1011131103 1685218505 2022262206 3370437010 5055655515 10111311030