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21242400424212 = 22311533036363697
BaseRepresentation
bin1001101010001111000011…
…01110110100000100010100
32210012202100102001100010010
410311013201232310010110
510241013414002033322
6113102342443000220
74321466325260022
oct465074156640424
983182312040103
1021242400424212
11684a940284430
122470b04b09070
13bb11c4057a46
145361cda83712
1526c86c16520c
hex1351e1bb4114

21242400424212 has 48 divisors (see below), whose sum is σ = 55091782936512. Its totient is φ = 6315636487680.

The previous prime is 21242400424187. The next prime is 21242400424247.

21242400424212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21242400424212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518174853 + ... + 1518188844.

It is an arithmetic number, because the mean of its divisors is an integer number (1147745477844).

Almost surely, 221242400424212 is an apocalyptic number.

21242400424212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21242400424212 is an abundant number, since it is smaller than the sum of its proper divisors (33849382512300).

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

21242400424212 is a wasteful number, since it uses less digits than its factorization.

21242400424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036363768 (or 3036363766 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 21242400 and 424212, that added together give a palindrome (21666612).

The spelling of 21242400424212 in words is "twenty-one trillion, two hundred forty-two billion, four hundred million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 3036363697 6072727394 9109091091 12145454788 18218182182 33400000667 36436364364 66800001334 100200002001 133600002668 160927275941 200400004002 321854551882 400800008004 482781827823 643709103764 965563655646 1770200035351 1931127311292 3540400070702 5310600106053 7080800141404 10621200212106 21242400424212