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21020132113032 = 233131493791193041
BaseRepresentation
bin1001100011110001000011…
…00000011111101010001000
32202102111122011000020101210
410301320201200133222020
510223343212310104112
6112412303153413120
74266440316636003
oct461704140375210
982374564006353
1021020132113032
116774651647478
122435a1386a1a0
13b962614326a0
1452954633a53a
15266badc62b3c
hex131e2181fa88

21020132113032 has 128 divisors (see below), whose sum is σ = 57122850960000. Its totient is φ = 6407369256960.

The previous prime is 21020132112943. The next prime is 21020132113051. The reversal of 21020132113032 is 23031123102012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17022432 + ... + 18215472.

It is an arithmetic number, because the mean of its divisors is an integer number (446272273125).

Almost surely, 221020132113032 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 21020132113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28561425480000).

21020132113032 is an abundant number, since it is smaller than the sum of its proper divisors (36102718846968).

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

21020132113032 is a wasteful number, since it uses less digits than its factorization.

21020132113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193591 (or 1193587 counting only the distinct ones).

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

Adding to 21020132113032 its reverse (23031123102012), we get a palindrome (44051255215044).

The spelling of 21020132113032 in words is "twenty-one trillion, twenty billion, one hundred thirty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 379 447 596 758 894 1137 1192 1516 1788 1937 2274 3032 3576 3874 4548 4927 5811 7748 9096 9854 11622 14781 15496 19708 23244 29562 39416 46488 56471 59124 112942 118248 169413 225884 338826 451768 677652 734123 1193041 1355304 1468246 2202369 2386082 2936492 3579123 4404738 4772164 5872984 7158246 8809476 9544328 14316492 15509533 17618952 28632984 31019066 46528599 62038132 93057198 124076264 177763109 186114396 355526218 372228792 452162539 533289327 711052436 904325078 1066578654 1356487617 1422104872 1808650156 2133157308 2310920417 2712975234 3617300312 4266314616 4621840834 5425950468 5878113007 6932761251 9243681668 10851900936 11756226014 13865522502 17634339021 18487363336 23512452028 27731045004 35268678042 47024904056 55462090008 67372218311 70537356084 134744436622 141074712168 202116654933 269488873244 404233309866 538977746488 808466619732 875838838043 1616933239464 1751677676086 2627516514129 3503355352172 5255033028258 7006710704344 10510066056516 21020132113032