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21232031231100 = 22352149699167943
BaseRepresentation
bin1001101001111011101111…
…01011011110110001111100
32210011202120202120202020210
410310331313223132301330
510240331144443343400
6113053505511112420
74320651345502224
oct464756753366174
983152522522223
1021232031231100
1168464aa126148
12246aab0372710
13bb0230a24311
145358c8899084
1526c461b7b950
hex134f77adec7c

21232031231100 has 144 divisors (see below), whose sum is σ = 61853391129600. Its totient is φ = 5622988627200.

The previous prime is 21232031231053. The next prime is 21232031231113. The reversal of 21232031231100 is 113213023212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312463729 + ... + 312531671.

It is an arithmetic number, because the mean of its divisors is an integer number (429537438400).

Almost surely, 221232031231100 is an apocalyptic number.

21232031231100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232031231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30926695564800).

21232031231100 is an abundant number, since it is smaller than the sum of its proper divisors (40621359898500).

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

21232031231100 is a wasteful number, since it uses less digits than its factorization.

21232031231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75100 (or 75093 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21232031231100 its reverse (113213023212), we get a palindrome (21345244254312).

The spelling of 21232031231100 in words is "twenty-one trillion, two hundred thirty-two billion, thirty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 6991 7450 8940 11175 13982 14900 20973 22350 27964 34955 41946 44700 67943 69910 83892 104865 135886 139820 174775 203829 209730 271772 339715 349550 407658 419460 524325 679430 699100 815316 1019145 1041659 1048650 1358860 1698575 2038290 2083318 2097300 3124977 3397150 4076580 4166636 5095725 5208295 6249954 6794300 10123507 10191450 10416590 12499908 15624885 20247014 20382900 20833180 26041475 30370521 31249770 40494028 50617535 52082950 60741042 62499540 78124425 101235070 104165900 121482084 151852605 156248850 202470140 253087675 303705210 312497700 474989513 506175350 607410420 759263025 949979026 1012350700 1424968539 1518526050 1899958052 2374947565 2849937078 3037052100 4749895130 5699874156 7124842695 9499790260 11874737825 14249685390 23749475650 28499370780 35624213475 47498951300 70773437437 71248426950 141546874874 142496853900 212320312311 283093749748 353867187185 424640624622 707734374370 849281249244 1061601561555 1415468748740 1769335935925 2123203123110 3538671871850 4246406246220 5308007807775 7077343743700 10616015615550 21232031231100