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21020201201112 = 23337677237114747
BaseRepresentation
bin1001100011110001001011…
…01000000010110111011000
32202102111210222000021102120
410301320211220002313120
510223343333001413422
6112412314102301240
74266442116113661
oct461704550026730
982374728007376
1021020201201112
116774687645363
122435a32a27820
13b962728420c9
145295515a2368
15266bb4d5d45c
hex131e25a02dd8

21020201201112 has 128 divisors (see below), whose sum is σ = 54076970615040. Its totient is φ = 6803960117760.

The previous prime is 21020201201029. The next prime is 21020201201117. The reversal of 21020201201112 is 21110210202012.

It is a junction number, because it is equal to n+sod(n) for n = 21020201201091 and 21020201201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020201201117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425380923 + ... + 1425395669.

It is an arithmetic number, because the mean of its divisors is an integer number (422476332930).

Almost surely, 221020201201112 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 21020201201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27038485307520).

21020201201112 is an abundant number, since it is smaller than the sum of its proper divisors (33056769413928).

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

21020201201112 is a wasteful number, since it uses less digits than its factorization.

21020201201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17841 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21020201201112 its reverse (21110210202012), we get a palindrome (42130411403124).

The spelling of 21020201201112 in words is "twenty-one trillion, twenty billion, two hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 677 888 1354 2031 2371 2708 4062 4742 5416 7113 8124 9484 14226 14747 16248 18968 25049 28452 29494 44241 50098 56904 58988 75147 87727 88482 100196 117976 150294 175454 176964 200392 263181 300588 350908 353928 526362 545639 601176 701816 1052724 1091278 1605167 1636917 2105448 2182556 3210334 3273834 4365112 4815501 6420668 6547668 9631002 9983719 12841336 13095336 19262004 19967438 29951157 34965137 38524008 39934876 59391179 59902314 69930274 79869752 104895411 118782358 119804628 139860548 178173537 209790822 237564716 239609256 279721096 356347074 369397603 419581644 475129432 712694148 738795206 839163288 1108192809 1293710069 1425388296 1477590412 2216385618 2587420138 2955180824 3881130207 4432771236 5174840276 7762260414 8865542472 10349680552 15524520828 23671397749 31049041656 47342795498 71014193247 94685590996 142028386494 189371181992 284056772988 568113545976 875841716713 1751683433426 2627525150139 3503366866852 5255050300278 7006733733704 10510100600556 21020201201112