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10011123320 = 2351179288007
BaseRepresentation
bin10010101001011010…
…11001111001111000
3221211200200202110012
421110231121321320
5131000321421240
64333221041052
7503041100312
oct112455317170
927750622405
1010011123320
114278022140
121b34856188
13c370b3413
146ad81a7b2
153d8d58b65
hex254b59e78

10011123320 has 64 divisors (see below), whose sum is σ = 24883891200. Its totient is φ = 3594314880.

The previous prime is 10011123293. The next prime is 10011123323. The reversal of 10011123320 is 2332111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011123295 and 10011123304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011123323) 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, 109244 + ... + 178763.

It is an arithmetic number, because the mean of its divisors is an integer number (388810800).

Almost surely, 210011123320 is an apocalyptic number.

10011123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011123320 is an abundant number, since it is smaller than the sum of its proper divisors (14872767880).

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

10011123320 is a wasteful number, since it uses less digits than its factorization.

10011123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288108 (or 288104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10011123320 its reverse (2332111001), we get a palindrome (12343234321).

It can be divided in two parts, 10011 and 123320, that added together give a palindrome (133331).

The spelling of 10011123320 in words is "ten billion, eleven million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8690 17380 34760 288007 576014 1152028 1440035 2304056 2880070 3168077 5760140 6336154 11520280 12672308 15840385 22752553 25344616 31680770 45505106 63361540 91010212 113762765 126723080 182020424 227525530 250278083 455051060 500556166 910102120 1001112332 1251390415 2002224664 2502780830 5005561660 10011123320