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100001022212 = 22721339246869
BaseRepresentation
bin101110100100010000…
…1101000000100000100
3100120010020120021110102
41131020201220010010
53114300230202322
6113535000543232
710140055443500
oct1351041500404
9316106507412
10100001022212
1139456a74103
121746a181b18
139578aa9ac0
144ba9249300
15290438c792
hex1748868104

100001022212 has 36 divisors (see below), whose sum is σ = 219233015820. Its totient is φ = 39560842944.

The previous prime is 100001022203. The next prime is 100001022221. The reversal of 100001022212 is 212220100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100001022203) and next prime (100001022221).

It can be written as a sum of positive squares in 2 ways, for example, as 66473214976 + 33527807236 = 257824^2 + 183106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100001022193 and 100001022202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19620887 + ... + 19625982.

It is an arithmetic number, because the mean of its divisors is an integer number (6089805995).

Almost surely, 2100001022212 is an apocalyptic number.

It is an amenable number.

100001022212 is an abundant number, since it is smaller than the sum of its proper divisors (119231993608).

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

100001022212 is a wasteful number, since it uses less digits than its factorization.

100001022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39246900 (or 39246891 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100001022212 its reverse (212220100001), we get a palindrome (312221122213).

The spelling of 100001022212 in words is "one hundred billion, one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 39246869 78493738 156987476 274728083 510209297 549456166 1020418594 1098912332 1923096581 2040837188 3571465079 3846193162 7142930158 7692386324 14285860316 25000255553 50000511106 100001022212