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20032121133101 = 71117371014095097
BaseRepresentation
bin1001000111000000101110…
…11101101101100000101101
32121221001101222001010122002
410203200113131231200231
510111201241002224401
6110334343541302045
74135162431113150
oct443402735554055
977831358033562
1020032121133101
116423636163830
1222b6438a04925
13b24036c55a7c
144d37ba293c97
1524b134ceda6b
hex12381776d82d

20032121133101 has 64 divisors (see below), whose sum is σ = 27427852537344. Its totient is φ = 14152651776000.

The previous prime is 20032121133023. The next prime is 20032121133109. The reversal of 20032121133101 is 10133112123002.

It is a happy number.

It is not a de Polignac number, because 20032121133101 - 210 = 20032121132077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032121133109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2844185 + ... + 6939281.

It is an arithmetic number, because the mean of its divisors is an integer number (428560195896).

Almost surely, 220032121133101 is an apocalyptic number.

It is an amenable number.

20032121133101 is a deficient number, since it is larger than the sum of its proper divisors (7395731404243).

20032121133101 is a wasteful number, since it uses less digits than its factorization.

20032121133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095270.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20032121133101 its reverse (10133112123002), we get a palindrome (30165233256103).

It can be divided in two parts, 2003212 and 1133101, that added together give a palindrome (3136313).

The spelling of 20032121133101 in words is "twenty trillion, thirty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 7 11 17 37 77 101 119 187 259 407 629 707 1111 1309 1717 2849 3737 4403 6919 7777 12019 18887 26159 41107 48433 63529 132209 287749 444703 698819 4095097 4891733 28665679 45046067 69616649 151518589 315322469 413604797 487316543 765783139 1060630123 1666704479 2575816013 2895233579 4549652767 5360481973 7031281549 11666931353 15303377489 18030712091 28333976143 31847569369 49218970843 77344097039 107123642423 168337152379 198337833001 260157417313 541408679273 1178360066653 1821101921191 2861731590443 20032121133101