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211221211120002 = 23217690265395817
BaseRepresentation
bin110000000001101011000101…
…010000100000000110000010
31000200212112212101000221221100
4300001223011100200012002
5210141122020021320002
62025121403531035230
762330141342143146
oct6001530520400602
91020775771027840
10211221211120002
116133545a1738a6
121b83410429bb16
1390b20c8295785
143a23238349226
151964535e1e11c
hexc01ac5420182

211221211120002 has 24 divisors (see below), whose sum is σ = 484566307864236. Its totient is φ = 66265477998336.

The previous prime is 211221211119983. The next prime is 211221211120021. The reversal of 211221211120002 is 200021112122112.

211221211120002 is a `hidden beast` number, since 211 + 221 + 21 + 11 + 200 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211221211119983) and next prime (211221211120021).

It can be written as a sum of positive squares in 2 ways, for example, as 199082251341801 + 12138959778201 = 14109651^2 + 3484101^2 .

It is a super-2 number, since 2×2112212111200022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345132697603 + ... + 345132698214.

Almost surely, 2211221211120002 is an apocalyptic number.

211221211120002 is an abundant number, since it is smaller than the sum of its proper divisors (273345096744234).

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

211221211120002 is a wasteful number, since it uses less digits than its factorization.

211221211120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690265395842 (or 690265395839 counting only the distinct ones).

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

Adding to 211221211120002 its reverse (200021112122112), we get a palindrome (411242323242114).

The spelling of 211221211120002 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 690265395817 1380530791634 2070796187451 4141592374902 6212388562353 11734511728889 12424777124706 23469023457778 35203535186667 70407070373334 105610605560001 211221211120002