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102021122221011 = 32729411361970473
BaseRepresentation
bin10111001100100110100100…
…101111111110001111010011
3111101020010100102100101022200
4113030212210233332033103
5101333003224242033021
61000551505002134243
730326532341436510
oct2714464457761723
9441203312311280
10102021122221011
112a563a07899264
12b5384634b1383
1344c0720715c36
141b29bc4a2c307
15bbdc0bcdd126
hex5cc9a4bfe3d3

102021122221011 has 48 divisors (see below), whose sum is σ = 178472610912960. Its totient is φ = 54914649431040.

The previous prime is 102021122221001. The next prime is 102021122221019. The reversal of 102021122221011 is 110122221120201.

102021122221011 is a `hidden beast` number, since 1 + 0 + 20 + 211 + 222 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 102021122221011 - 29 = 102021122220499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102021122221019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680910330 + ... + 681060143.

It is an arithmetic number, because the mean of its divisors is an integer number (3718179394020).

Almost surely, 2102021122221011 is an apocalyptic number.

102021122221011 is a deficient number, since it is larger than the sum of its proper divisors (76451488691949).

102021122221011 is a wasteful number, since it uses less digits than its factorization.

102021122221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361970556 (or 1361970553 counting only the distinct ones).

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

Adding to 102021122221011 its reverse (110122221120201), we get a palindrome (212143343341212).

The spelling of 102021122221011 in words is "one hundred two trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 7 9 21 29 41 63 87 123 203 261 287 369 609 861 1189 1827 2583 3567 8323 10701 24969 74907 1361970473 4085911419 9533793311 12257734257 28601379933 39497143717 55840789393 85804139799 118491431151 167522368179 276480006019 355474293453 390885525751 502567104537 829440018057 1172656577253 1619382892397 2488320054171 3517969731759 4858148677191 11335680246779 14574446031573 34007040740337 102021122221011