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20113111332 = 223217130125261
BaseRepresentation
bin10010101110110101…
…011011100100100100
31220220201100220211100
4102232311123210210
5312142424030312
613123445440100
71311264424356
oct225665334444
956821326740
1020113111332
118591366266
123a93a10030
131b86c5c212
14d8b32b0d6
157cab605dc
hex4aed5b924

20113111332 has 72 divisors (see below), whose sum is σ = 53875661112. Its totient is φ = 6304896000.

The previous prime is 20113111303. The next prime is 20113111393. The reversal of 20113111332 is 23311131102.

20113111332 is a `hidden beast` number, since 20 + 1 + 1 + 311 + 1 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35354916 + 20077756416 = 5946^2 + 141696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783582 + ... + 808842.

It is an arithmetic number, because the mean of its divisors is an integer number (748273071).

Almost surely, 220113111332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20113111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26937830556).

20113111332 is an abundant number, since it is smaller than the sum of its proper divisors (33762549780).

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

20113111332 is a wasteful number, since it uses less digits than its factorization.

20113111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26589 (or 26584 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20113111332 its reverse (23311131102), we get a palindrome (43424242434).

The spelling of 20113111332 in words is "twenty billion, one hundred thirteen million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1301 2602 3903 5204 7806 11709 15612 22117 23418 25261 44234 46836 50522 66351 75783 88468 101044 132702 151566 199053 227349 265404 303132 398106 429437 454698 796212 858874 909396 1288311 1717748 2576622 3864933 5153244 7729866 15459732 32864561 65729122 98593683 131458244 197187366 295781049 394374732 558697537 591562098 1117395074 1183124196 1676092611 2234790148 3352185222 5028277833 6704370444 10056555666 20113111332