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21322033022312 = 23112773792307953
BaseRepresentation
bin1001101100100011011000…
…01101000100010101101000
32210111100220010211110110022
410312101230031010111220
510243320010423203222
6113203112353540012
74330315566216041
oct466215415042550
983440803743408
1021322033022312
11688069485aa80
122484429874608
13bb8875022989
14539dc5b018c8
1526e97d25e042
hex13646c344568

21322033022312 has 64 divisors (see below), whose sum is σ = 43886206900800. Its totient is φ = 9631360650240.

The previous prime is 21322033022309. The next prime is 21322033022333.

21322033022312 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 8084528 + ... + 10392480.

It is an arithmetic number, because the mean of its divisors is an integer number (685721982825).

Almost surely, 221322033022312 is an apocalyptic number.

21322033022312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21322033022312 is an abundant number, since it is smaller than the sum of its proper divisors (22564173878488).

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

21322033022312 is a wasteful number, since it uses less digits than its factorization.

21322033022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308626 (or 2308622 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, 2132203 and 3022312, that added together give a palindrome (5154515).

The spelling of 21322033022312 in words is "twenty-one trillion, three hundred twenty-two billion, thirty-three million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 277 379 554 758 1108 1516 2216 3032 3047 4169 6094 8338 12188 16676 24376 33352 104983 209966 419932 839864 1154813 2307953 2309626 4615906 4619252 9231812 9238504 18463624 25387483 50774966 101549932 203099864 639302981 874714187 1278605962 1749428374 2557211924 3498856748 5114423848 6997713496 7032332791 9621856057 14064665582 19243712114 28129331164 38487424228 56258662328 76974848456 242295829799 484591659598 969183319196 1938366638392 2665254127789 5330508255578 10661016511156 21322033022312