Search a number
-
+
2120011022000 = 24531543686977
BaseRepresentation
bin11110110110011010100…
…000001111111010110000
321111200010012202102210202
4132312122200033322300
5234213240310201000
64301530345414332
7306110564234414
oct36663240177260
97450105672722
102120011022000
11748100a539a3
122a2a5749a3a8
13124bbab0a521
1474875464d44
153a22de0ddd5
hex1ed9a80feb0

2120011022000 has 80 divisors (see below), whose sum is σ = 5129516338752. Its totient is φ = 847453593600.

The previous prime is 2120011021991. The next prime is 2120011022027. The reversal of 2120011022000 is 2201100212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2742512 + ... + 3429488.

Almost surely, 22120011022000 is an apocalyptic number.

2120011022000 is a gapful number since it is divisible by the number (20) 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 2120011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564758169376).

2120011022000 is an abundant number, since it is smaller than the sum of its proper divisors (3009505316752).

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

2120011022000 is a wasteful number, since it uses less digits than its factorization.

2120011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688543 (or 688527 counting only the distinct ones).

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

Adding to 2120011022000 its reverse (2201100212), we get a palindrome (2122212122212).

The spelling of 2120011022000 in words is "two trillion, one hundred twenty billion, eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1543 2000 3086 6172 7715 12344 15430 24688 30860 38575 61720 77150 123440 154300 192875 308600 385750 617200 686977 771500 1373954 1543000 2747908 3086000 3434885 5495816 6869770 10991632 13739540 17174425 27479080 34348850 54958160 68697700 85872125 137395400 171744250 274790800 343488500 686977000 1060005511 1373954000 2120011022 4240022044 5300027555 8480044088 10600055110 16960088176 21200110220 26500137775 42400220440 53000275550 84800440880 106000551100 132500688875 212001102200 265001377750 424002204400 530002755500 1060005511000 2120011022000