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101210221002 = 23117937951217
BaseRepresentation
bin101111001000010011…
…0010110100111001010
3100200020111212221100210
41132100212112213022
53124234304033002
6114254554141550
710212040453422
oct1362046264712
9320214787323
10101210221002
1139a17593050
12177471218b6
13970c472247
144c81a91482
1529755e396c
hex17909969ca

101210221002 has 64 divisors (see below), whose sum is σ = 224211916800. Its totient is φ = 30201050880.

The previous prime is 101210220941. The next prime is 101210221019. The reversal of 101210221002 is 200122012101.

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, 1950498 + ... + 2001714.

It is an arithmetic number, because the mean of its divisors is an integer number (3503311200).

Almost surely, 2101210221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112105958400).

101210221002 is an abundant number, since it is smaller than the sum of its proper divisors (123001695798).

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

101210221002 is a wasteful number, since it uses less digits than its factorization.

101210221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51691.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101210221002 its reverse (200122012101), we get a palindrome (301332233103).

The spelling of 101210221002 in words is "one hundred one billion, two hundred ten million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 379 474 758 869 1137 1738 2274 2607 4169 5214 8338 12507 25014 29941 51217 59882 89823 102434 153651 179646 307302 329351 563387 658702 988053 1126774 1690161 1976106 3380322 4046143 8092286 12138429 19411243 24276858 38822486 44507573 58233729 89015146 116467458 133522719 213523673 267045438 427047346 640571019 1281142038 1533488197 3066976394 4600464591 9200929182 16868370167 33736740334 50605110501 101210221002