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10221211021122 = 23210715497342451
BaseRepresentation
bin1001010010111100111110…
…1001101110111101000010
31100012010201202210110020200
42110233033221232331002
52314431020010133442
633423320504550030
72103313065115113
oct224571751567502
940163652713220
1010221211021122
113290878178342
121190b32a82316
13591b18a0506a
142749d029420a
1512ad255e934c
hex94bcfa6ef42

10221211021122 has 48 divisors (see below), whose sum is σ = 22354436456352. Its totient is φ = 3375000907200.

The previous prime is 10221211021093. The next prime is 10221211021127. The reversal of 10221211021122 is 22112011212201.

10221211021122 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 0 + 211 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221211021095 and 10221211021104.

It is not an unprimeable number, because it can be changed into a prime (10221211021127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29675997 + ... + 30018447.

It is an arithmetic number, because the mean of its divisors is an integer number (465717426174).

Almost surely, 210221211021122 is an apocalyptic number.

10221211021122 is an abundant number, since it is smaller than the sum of its proper divisors (12133225435230).

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

10221211021122 is a wasteful number, since it uses less digits than its factorization.

10221211021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358063 (or 358060 counting only the distinct ones).

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

Adding to 10221211021122 its reverse (22112011212201), we get a palindrome (32333222233323).

The spelling of 10221211021122 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 15497 30994 46491 92982 139473 278946 342451 684902 1027353 1658179 2054706 3082059 3316358 4974537 6164118 9949074 14923611 29847222 36642257 73284514 109926771 219853542 329780313 659560626 5306963147 10613926294 15920889441 31841778882 47762668323 95525336646 567845056729 1135690113458 1703535170187 3407070340374 5110605510561 10221211021122