Search a number
-
+
122010110000200 = 23521573885672293
BaseRepresentation
bin11011101111011110110001…
…010000111111110001001000
3121000000001102100101002221101
4123233132301100333301020
5111443003201130001300
61111254400514151144
734461640160236402
oct3357366120776110
9530001370332841
10122010110000200
1135970219330864
1211826462b824b4
1353106723b3986
14221b46c517b72
15e18b69ebdb6a
hex6ef7b143fc48

122010110000200 has 48 divisors (see below), whose sum is σ = 285480343440180. Its totient is φ = 48493190204160.

The previous prime is 122010110000183. The next prime is 122010110000221. The reversal of 122010110000200 is 2000011010221.

It can be written as a sum of positive squares in 6 ways, for example, as 74500824280996 + 47509285719204 = 8631386^2 + 6892698^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1942804747 + ... + 1942867546.

Almost surely, 2122010110000200 is an apocalyptic number.

122010110000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010110000200 is an abundant number, since it is smaller than the sum of its proper divisors (163470233439980).

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

122010110000200 is a wasteful number, since it uses less digits than its factorization.

122010110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885672466 (or 3885672457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122010110000200 its reverse (2000011010221), we get a palindrome (124010121010421).

The spelling of 122010110000200 in words is "one hundred twenty-two trillion, ten billion, one hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 3885672293 7771344586 15542689172 19428361465 31085378344 38856722930 77713445860 97141807325 155426891720 194283614650 388567229300 610050550001 777134458600 1220101100002 2440202200004 3050252750005 4880404400008 6100505500010 12201011000020 15251263750025 24402022000040 30502527500050 61005055000100 122010110000200