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10111323330 = 232519922837
BaseRepresentation
bin10010110101010111…
…01000110011000010
3222002200020110000200
421122223220303002
5131201444321310
64351200430030
7505365554523
oct113253506302
928080213020
1010111323330
11431963a969
121b62318316
13c51a96c74
146bcc6084a
153e2a4c9c0
hex25aae8cc2

10111323330 has 72 divisors (see below), whose sum is σ = 26431525692. Its totient is φ = 2681857728.

The previous prime is 10111323293. The next prime is 10111323337. The reversal of 10111323330 is 3332311101.

It is a happy number.

10111323330 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 323 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8785125441 + 1326197889 = 93729^2 + 36417^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10111323337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3562672 + ... + 3565508.

Almost surely, 210111323330 is an apocalyptic number.

10111323330 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 10111323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13215762846).

10111323330 is an abundant number, since it is smaller than the sum of its proper divisors (16320202362).

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

10111323330 is a wasteful number, since it uses less digits than its factorization.

10111323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10111323330 its reverse (3332311101), we get a palindrome (13443634431).

The spelling of 10111323330 in words is "ten billion, one hundred eleven million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1990 2837 2985 3582 5674 5970 8511 8955 14185 17022 17910 25533 28370 39601 42555 51066 79202 85110 118803 127665 198005 237606 255330 356409 396010 564563 594015 712818 1129126 1188030 1693689 1782045 2822815 3387378 3564090 5081067 5645630 8468445 10162134 16936890 25405335 50810670 112348037 224696074 337044111 561740185 674088222 1011132333 1123480370 1685220555 2022264666 3370441110 5055661665 10111323330