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21112101202221 = 3217831662501079
BaseRepresentation
bin1001100110011100010110…
…10010101110100100101101
32202202022000122002001002100
410303032023102232210231
510231400040401432341
6112522433154245313
74306204356203241
oct463161322564455
982668018061070
1021112101202221
1167aa6568123a7
12244b7bbb86839
13ba1b2a1985a3
1452db8c968421
15269292de83b6
hex13338b4ae92d

21112101202221 has 24 divisors (see below), whose sum is σ = 32678121228480. Its totient is φ = 13087208486016.

The previous prime is 21112101202183. The next prime is 21112101202259. The reversal of 21112101202221 is 12220210121112.

21112101202221 is a `hidden beast` number, since 2 + 111 + 210 + 120 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21112101202183) and next prime (21112101202259).

It is not a de Polignac number, because 21112101202221 - 214 = 21112101185837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112101202194 and 21112101202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112101202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831237841 + ... + 831263238.

It is an arithmetic number, because the mean of its divisors is an integer number (1361588384520).

Almost surely, 221112101202221 is an apocalyptic number.

It is an amenable number.

21112101202221 is a deficient number, since it is larger than the sum of its proper divisors (11566020026259).

21112101202221 is a wasteful number, since it uses less digits than its factorization.

21112101202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662501185 (or 1662501182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112101202221 its reverse (12220210121112), we get a palindrome (33332311323333).

The spelling of 21112101202221 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 83 153 249 747 1411 4233 12699 1662501079 4987503237 14962509711 28262518343 84787555029 137987589557 254362665087 413962768671 1241888306013 2345789022469 7037367067407 21112101202221