Search a number
-
+
1000210202120 = 23544362719001
BaseRepresentation
bin11101000111000010010…
…11000111111000001000
310112121201100221210120202
432203201023013320020
5112341412302431440
62043253515511332
7132156066304133
oct16434113077010
93477640853522
101000210202120
11356206646958
12141a20458548
137341c9b56ac
14365a632321a
151b03ee38615
hexe8e12c7e08

1000210202120 has 64 divisors (see below), whose sum is σ = 2256163338240. Its totient is φ = 399072960000.

The previous prime is 1000210202113. The next prime is 1000210202129. The reversal of 1000210202120 is 212020120001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000210202129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111117620 + ... + 111126620.

It is an arithmetic number, because the mean of its divisors is an integer number (35252552160).

Almost surely, 21000210202120 is an apocalyptic number.

1000210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210202120 is an abundant number, since it is smaller than the sum of its proper divisors (1255953136120).

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

1000210202120 is a wasteful number, since it uses less digits than its factorization.

1000210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15726 (or 15722 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000210202120 its reverse (212020120001), we get a palindrome (1212230322121).

The spelling of 1000210202120 in words is "one trillion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 443 886 1772 2215 3544 4430 6271 8860 9001 12542 17720 18002 25084 31355 36004 45005 50168 62710 72008 90010 125420 180020 250840 360040 2778053 3987443 5556106 7974886 11112212 13890265 15949772 19937215 22224424 27780530 31899544 39874430 55561060 56445271 79748860 111122120 112890542 159497720 225781084 282226355 451562168 564452710 1128905420 2257810840 25005255053 50010510106 100021020212 125026275265 200042040424 250052550530 500105101060 1000210202120