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101011221010 = 25721712126197
BaseRepresentation
bin101111000010010111…
…1001110101000010010
3100122201122102200200201
41132010233032220102
53123332333033020
6114223125005414
710204103132500
oct1360457165022
9318648380621
10101011221010
1139925223447
12176b055386a
1396aa17817b
144c6348d670
152962dd5a0a
hex1784bcea12

101011221010 has 48 divisors (see below), whose sum is σ = 223946624664. Its totient is φ = 32595214848.

The previous prime is 101011220957. The next prime is 101011221011. The reversal of 101011221010 is 10122110101.

It can be written as a sum of positive squares in 4 ways, for example, as 100761170041 + 250050969 = 317429^2 + 15813^2 .

It is a super-3 number, since 3×1010112210103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101011221011) 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, 6054769 + ... + 6071428.

Almost surely, 2101011221010 is an apocalyptic number.

101011221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011221010 is an abundant number, since it is smaller than the sum of its proper divisors (122935403654).

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

101011221010 is a wasteful number, since it uses less digits than its factorization.

101011221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126235 (or 12126228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011221010 its reverse (10122110101), we get a palindrome (111133331111).

The spelling of 101011221010 in words is "one hundred one billion, eleven million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 12126197 24252394 60630985 84883379 121261970 169766758 206145349 412290698 424416895 594183653 848833790 1030726745 1188367306 1443017443 2061453490 2886034886 2970918265 5941836530 7215087215 10101122101 14430174430 20202244202 50505610505 101011221010