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21023322332012 = 227111315134772053
BaseRepresentation
bin1001100011110110111111…
…01010001101101101101100
32202102210212110222011010022
410301323133222031231230
510223421231004111022
6112413551515101312
74266612345230660
oct461733752155554
982383773864108
1021023322332012
116775a3941a190
122436564141838
13b9664c358220
14529769cda8a0
15266ce8d7cc42
hex131edfa8db6c

21023322332012 has 96 divisors (see below), whose sum is σ = 49724593572864. Its totient is φ = 7510763232000.

The previous prime is 21023322332011. The next prime is 21023322332017.

21023322332012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (21023322332011) 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, 16781423 + ... + 17990630.

It is an arithmetic number, because the mean of its divisors is an integer number (517964516384).

Almost surely, 221023322332012 is an apocalyptic number.

21023322332012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21023322332012 is an abundant number, since it is smaller than the sum of its proper divisors (28701271240852).

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

21023322332012 is a wasteful number, since it uses less digits than its factorization.

21023322332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34772239 (or 34772237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2102332 and 2332012, that added together give a palindrome (4434344).

The spelling of 21023322332012 in words is "twenty-one trillion, twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 151 154 182 286 302 308 364 572 604 1001 1057 1661 1963 2002 2114 3322 3926 4004 4228 6644 7852 11627 13741 21593 23254 27482 43186 46508 54964 86372 151151 302302 604604 34772053 69544106 139088212 243404371 382492583 452036689 486808742 764985166 904073378 973617484 1529970332 1808146756 2677448081 3164256823 4972403579 5250580003 5354896162 6328513646 9944807158 10501160006 10709792324 12657027292 19889614316 21002320012 34806825053 36754060021 57756380033 68257540039 69613650106 73508120042 115512760066 136515080078 139227300212 147016240084 231025520132 273030160156 404294660231 477802780273 750832940429 808589320462 955605560546 1501665880858 1617178640924 1911211121092 3003331761716 5255830583003 10511661166006 21023322332012