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20041112232 = 2333734213019
BaseRepresentation
bin10010101010100010…
…110001101010101000
31220201200212222122000
4102222202301222220
5312021011042412
613112354331000
71306431433431
oct225242615250
956650788560
1020041112232
11855475a279
123a73889a60
131b750707bb
14d81948488
157c468c4dc
hex4aa8b1aa8

20041112232 has 128 divisors (see below), whose sum is σ = 56585136000. Its totient is φ = 6571031040.

The previous prime is 20041112213. The next prime is 20041112243. The reversal of 20041112232 is 23221114002.

It is a happy number.

20041112232 is a `hidden beast` number, since 20 + 0 + 411 + 1 + 2 + 232 = 666.

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 31 ways as a sum of consecutive naturals, for example, 6636819 + ... + 6639837.

It is an arithmetic number, because the mean of its divisors is an integer number (442071375).

Almost surely, 220041112232 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 20041112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28292568000).

20041112232 is an abundant number, since it is smaller than the sum of its proper divisors (36544023768).

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

20041112232 is a wasteful number, since it uses less digits than its factorization.

20041112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20041112232 its reverse (23221114002), we get a palindrome (43262226234).

The spelling of 20041112232 in words is "twenty billion, forty-one million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 421 438 584 657 842 876 1263 1314 1684 1752 1971 2526 2628 3019 3368 3789 3942 5052 5256 6038 7578 7884 9057 10104 11367 12076 15156 15768 18114 22734 24152 27171 30312 30733 36228 45468 54342 61466 72456 81513 90936 92199 108684 122932 163026 184398 217368 220387 245864 276597 326052 368796 440774 553194 652104 661161 737592 829791 881548 1106388 1270999 1322322 1659582 1763096 1983483 2212776 2541998 2644644 3319164 3812997 3966966 5083996 5289288 5950449 6638328 7625994 7933932 10167992 11438991 11900898 15251988 15867864 22877982 23801796 30503976 34316973 45755964 47603592 68633946 91511928 92782927 137267892 185565854 274535784 278348781 371131708 556697562 742263416 835046343 1113395124 1670092686 2226790248 2505139029 3340185372 5010278058 6680370744 10020556116 20041112232