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107007770140 = 22561217940253
BaseRepresentation
bin110001110101000101…
…0001111111000011100
3101020012112222221122221
41203222022033320130
53223122442121030
6121054135515124
710505516016145
oct1435212177034
9336175887587
10107007770140
1141422107577
12188a4828aa4
13a1246062ab
145271a40acc
152bb458ae7a
hex18ea28fe1c

107007770140 has 48 divisors (see below), whose sum is σ = 228510686880. Its totient is φ = 42081050880.

The previous prime is 107007770123. The next prime is 107007770167. The reversal of 107007770140 is 41077700701.

It is a super-2 number, since 2×1070077701402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107007770096 and 107007770105.

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 15 ways as a sum of consecutive naturals, for example, 2638254 + ... + 2678506.

It is an arithmetic number, because the mean of its divisors is an integer number (4760639310).

Almost surely, 2107007770140 is an apocalyptic number.

107007770140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107007770140 is an abundant number, since it is smaller than the sum of its proper divisors (121502916740).

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

107007770140 is a wasteful number, since it uses less digits than its factorization.

107007770140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42502 (or 42500 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 34.

The spelling of 107007770140 in words is "one hundred seven billion, seven million, seven hundred seventy thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2179 4358 8716 10895 21790 40253 43580 80506 132919 161012 201265 265838 402530 531676 664595 805060 1329190 2455433 2658380 4910866 9821732 12277165 24554330 49108660 87711287 175422574 350845148 438556435 877112870 1754225740 5350388507 10700777014 21401554028 26751942535 53503885070 107007770140