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11013300192 = 253473377243
BaseRepresentation
bin10100100000111000…
…11001111111100000
31001102112110121200010
422100130121333200
5140023401101232
65020501124520
7536630335626
oct122034317740
931375417603
1011013300192
1147417a2494
1221743b9740
13106690339b
14766973516
15446d1a0cc
hex290719fe0

11013300192 has 96 divisors (see below), whose sum is σ = 29616717312. Its totient is φ = 3581835264.

The previous prime is 11013300191. The next prime is 11013300203. The reversal of 11013300192 is 29100331011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110133001922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013300191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516923 + ... + 1524165.

It is an arithmetic number, because the mean of its divisors is an integer number (308507472).

Almost surely, 211013300192 is an apocalyptic number.

11013300192 is a gapful number since it is divisible by the number (12) 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 11013300192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808358656).

11013300192 is an abundant number, since it is smaller than the sum of its proper divisors (18603417120).

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

11013300192 is a wasteful number, since it uses less digits than its factorization.

11013300192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 11013300192 in words is "eleven billion, thirteen million, three hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 337 376 564 674 752 1011 1128 1348 1504 2022 2256 2696 4044 4512 5392 7243 8088 10784 14486 15839 16176 21729 28972 31678 32352 43458 47517 57944 63356 86916 95034 115888 126712 173832 190068 231776 253424 340421 347664 380136 506848 680842 695328 760272 1021263 1361684 1520544 2042526 2440891 2723368 4085052 4881782 5446736 7322673 8170104 9763564 10893472 14645346 16340208 19527128 29290692 32680416 39054256 58581384 78108512 114721877 117162768 229443754 234325536 344165631 458887508 688331262 917775016 1376662524 1835550032 2753325048 3671100064 5506650096 11013300192