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10111012320 = 253589236681
BaseRepresentation
bin10010110101010100…
…11100110111100000
3222002122122122101210
421122222130313200
5131201404343240
64351150030120
7505363121013
oct113252346740
928078578353
1010111012320
114319448232
121b621a8340
13c519b8536
146bcbbd37a
153e29da780
hex25aa9cde0

10111012320 has 96 divisors (see below), whose sum is σ = 32207686560. Its totient is φ = 2665963520.

The previous prime is 10111012309. The next prime is 10111012339. The reversal of 10111012320 is 2321011101.

10111012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111012296 and 10111012305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75621 + ... + 161060.

It is an arithmetic number, because the mean of its divisors is an integer number (335496735).

Almost surely, 210111012320 is an apocalyptic number.

10111012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111012320 is an abundant number, since it is smaller than the sum of its proper divisors (22096674240).

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

10111012320 is a wasteful number, since it uses less digits than its factorization.

10111012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236788 (or 236780 counting only the distinct ones).

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

Adding to 10111012320 its reverse (2321011101), we get a palindrome (12432023421).

The spelling of 10111012320 in words is "ten billion, one hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 236681 473362 710043 946724 1183405 1420086 1893448 2366810 2840172 3550215 3786896 4733620 5680344 7100430 7573792 9467240 11360688 14200860 18934480 21064609 22721376 28401720 37868960 42129218 56803440 63193827 84258436 105323045 113606880 126387654 168516872 210646090 252775308 315969135 337033744 421292180 505550616 631938270 674067488 842584360 1011101232 1263876540 1685168720 2022202464 2527753080 3370337440 5055506160 10111012320