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1010111102210 = 257217121261837
BaseRepresentation
bin11101011001011110101…
…00000011110100000010
310120120021101020122012002
432230233110003310002
5113022201420232320
62052012202304002
7132656331463100
oct16545724036402
93516241218162
101010111102210
1135a427424711
121439241b8002
1374339cb5c62
1436c6524ac70
151b41e26d675
hexeb2f503d02

1010111102210 has 48 divisors (see below), whose sum is σ = 2239463624184. Its totient is φ = 325951815168.

The previous prime is 1010111102167. The next prime is 1010111102219. The reversal of 1010111102210 is 122011110101.

It can be written as a sum of positive squares in 4 ways, for example, as 800446934329 + 209664167881 = 894677^2 + 457891^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010111102191 and 1010111102200.

It is not an unprimeable number, because it can be changed into a prime (1010111102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60622589 + ... + 60639248.

Almost surely, 21010111102210 is an apocalyptic number.

1010111102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010111102210 is an abundant number, since it is smaller than the sum of its proper divisors (1229352521974).

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

1010111102210 is a wasteful number, since it uses less digits than its factorization.

1010111102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121261875 (or 121261868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010111102210 its reverse (122011110101), we get a palindrome (1132122212311).

The spelling of 1010111102210 in words is "one trillion, ten billion, one hundred eleven million, one hundred two thousand, two hundred 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 121261837 242523674 606309185 848832859 1212618370 1697665718 2061451229 4122902458 4244164295 5941830013 8488328590 10307256145 11883660026 14430158603 20614512290 28860317206 29709150065 59418300130 72150793015 101011110221 144301586030 202022220442 505055551105 1010111102210