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1010042022200 = 2352172571155919
BaseRepresentation
bin11101011001010110011…
…00100010100100111000
310120120002120021000020012
432230223030202210320
5113022031224202300
62052001253521052
7132654532350461
oct16545314424470
93516076230205
101010042022200
1135a3a14318a2
12143905043188
13743288aa103
1436c59dc7d68
151b418175435
hexeb2b322938

1010042022200 has 96 divisors (see below), whose sum is σ = 2496163003200. Its totient is φ = 378771210240.

The previous prime is 1010042022139. The next prime is 1010042022233. The reversal of 1010042022200 is 22202400101.

It is a congruent number.

It is an unprimeable number.

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, 295841 + ... + 1451759.

It is an arithmetic number, because the mean of its divisors is an integer number (26001697950).

Almost surely, 21010042022200 is an apocalyptic number.

1010042022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010042022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248081501600).

1010042022200 is an abundant number, since it is smaller than the sum of its proper divisors (1486120981000).

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

1010042022200 is a wasteful number, since it uses less digits than its factorization.

1010042022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156209 (or 1156200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1010042022200 its reverse (22202400101), we get a palindrome (1032244422301).

The spelling of 1010042022200 in words is "one trillion, ten billion, forty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 257 340 425 514 680 850 1028 1285 1700 2056 2570 3400 4369 5140 6425 8738 10280 12850 17476 21845 25700 34952 43690 51400 87380 109225 174760 218450 436900 873800 1155919 2311838 4623676 5779595 9247352 11559190 19650623 23118380 28897975 39301246 46236760 57795950 78602492 98253115 115591900 157204984 196506230 231183800 297071183 393012460 491265575 594142366 786024920 982531150 1188284732 1485355915 1965062300 2376569464 2970711830 3930124600 5050210111 5941423660 7426779575 10100420222 11882847320 14853559150 20200840444 25251050555 29707118300 40401680888 50502101110 59414236600 101004202220 126255252775 202008404440 252510505550 505021011100 1010042022200