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21331103110212 = 2237379836981983
BaseRepresentation
bin1001101100110100010001…
…10100101101010001000100
32210112020022020210122222210
410312122020310231101010
510243442044344011322
6113211212401223420
74331056422541020
oct466321064552104
983466266718883
1021331103110212
116884519672295
12248613b331b70
13bb968c1727ac
1453a60655d380
1526ed0e68270c
hex136688d2d444

21331103110212 has 96 divisors (see below), whose sum is σ = 58479757443072. Its totient is φ = 5923848663936.

The previous prime is 21331103110193. The next prime is 21331103110231. The reversal of 21331103110212 is 21201130113312.

It is an interprime number because it is at equal distance from previous prime (21331103110193) and next prime (21331103110231).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 435828 + ... + 6546155.

It is an arithmetic number, because the mean of its divisors is an integer number (609164140032).

Almost surely, 221331103110212 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 21331103110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29239878721536).

21331103110212 is an abundant number, since it is smaller than the sum of its proper divisors (37148654332860).

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

21331103110212 is a wasteful number, since it uses less digits than its factorization.

21331103110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983017 (or 6983015 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21331103110212 its reverse (21201130113312), we get a palindrome (42532233223524).

The spelling of 21331103110212 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred three million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 983 1036 1554 1966 2949 3108 3932 5898 6881 11796 13762 20643 27524 36371 41286 72742 82572 109113 145484 218226 254597 436452 509194 763791 1018388 1527582 3055164 6981983 13963966 20945949 27927932 41891898 48873881 83783796 97747762 146621643 195495524 258333371 293243286 516666742 586486572 775000113 1033333484 1550000226 1808333597 3100000452 3616667194 5425000791 6863289289 7233334388 10850001582 13726578578 20589867867 21700003164 27453157156 41179735734 48043025023 82359471468 96086050046 144129075069 192172100092 253941703693 288258150138 507883407386 576516300276 761825111079 1015766814772 1523650222158 1777591925851 3047300444316 3555183851702 5332775777553 7110367703404 10665551555106 21331103110212