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10202102022 = 2371957722157
BaseRepresentation
bin10011000000001011…
…11011100100000110
3222100000001110222110
421200011323210012
5131343214231042
64404202241450
7510550302450
oct114005734406
928300043873
1010202102022
114365903282
121b887b6286
13c6782c478
146cad312d0
153ea9d009c
hex26017b906

10202102022 has 64 divisors (see below), whose sum is σ = 24590062080. Its totient is φ = 2756560896.

The previous prime is 10202102017. The next prime is 10202102039. The reversal of 10202102022 is 22020120201.

It is a junction number, because it is equal to n+sod(n) for n = 10202101989 and 10202102007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449368 + ... + 471524.

It is an arithmetic number, because the mean of its divisors is an integer number (384219720).

Almost surely, 210202102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295031040).

10202102022 is an abundant number, since it is smaller than the sum of its proper divisors (14387960058).

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

10202102022 is a wasteful number, since it uses less digits than its factorization.

10202102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22765.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202102022 its reverse (22020120201), we get a palindrome (32222222223).

The spelling of 10202102022 in words is "ten billion, two hundred two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 577 798 1154 1731 3462 4039 8078 10963 12117 21926 22157 24234 32889 44314 65778 66471 76741 132942 153482 155099 230223 310198 420983 460446 465297 841966 930594 1262949 2525898 2946881 5893762 8840643 12784589 17681286 25569178 38353767 76707534 89492123 178984246 242907191 268476369 485814382 536952738 728721573 1457443146 1700350337 3400700674 5101051011 10202102022