Search a number
-
+
12202100101000 = 235312202100101
BaseRepresentation
bin1011000110010000010111…
…0101111000111110001000
31121012111202100001222021101
42301210011311320332020
53044404400111213000
641541322320351144
72366400262353655
oct261440565707610
947174670058241
1012202100101000
113984977442a67
121450a227754b4
136a6864b33874
14302828974c2c
1516261092be6a
hexb1905d78f88

12202100101000 has 32 divisors (see below), whose sum is σ = 28552914238680. Its totient is φ = 4880840040000.

The previous prime is 12202100100973. The next prime is 12202100101049. The reversal of 12202100101000 is 10100120221.

It can be written as a sum of positive squares in 4 ways, for example, as 2815462508356 + 9386637592644 = 1677934^2 + 3063762^2 .

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 7 ways as a sum of consecutive naturals, for example, 6101049051 + ... + 6101051050.

Almost surely, 212202100101000 is an apocalyptic number.

12202100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202100101000 is an abundant number, since it is smaller than the sum of its proper divisors (16350814137680).

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

12202100101000 is a wasteful number, since it uses less digits than its factorization.

12202100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202100122 (or 12202100108 counting only the distinct ones).

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

Adding to 12202100101000 its reverse (10100120221), we get a palindrome (12212200221221).

The spelling of 12202100101000 in words is "twelve trillion, two hundred two billion, one hundred million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12202100101 24404200202 48808400404 61010500505 97616800808 122021001010 244042002020 305052502525 488084004040 610105005050 1220210010100 1525262512625 2440420020200 3050525025250 6101050050500 12202100101000