Search a number
-
+
2122010021000 = 23534993424997
BaseRepresentation
bin11110111000010001101…
…001110100110010001000
321111212021112020002220202
4132320101221310302020
5234231334031133000
64302500555111332
7306211246400012
oct36702151646210
97455245202822
102122010021000
11748a37377491
122a3314a42548
13125148cc407c
14749c4b3d1b2
153a2e9674dd5
hex1ee11a74c88

2122010021000 has 64 divisors (see below), whose sum is σ = 4966509628080. Its totient is φ = 848632012800.

The previous prime is 2122010020997. The next prime is 2122010021059. The reversal of 2122010021000 is 1200102212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58805280004 + 2063204740996 = 242498^2 + 1436386^2 .

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, 4780502 + ... + 5205498.

Almost surely, 22122010021000 is an apocalyptic number.

2122010021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122010021000 is an abundant number, since it is smaller than the sum of its proper divisors (2844499607080).

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

2122010021000 is a wasteful number, since it uses less digits than its factorization.

2122010021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430011 (or 429997 counting only the distinct ones).

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

Adding to 2122010021000 its reverse (1200102212), we get a palindrome (2123210123212).

The spelling of 2122010021000 in words is "two trillion, one hundred twenty-two billion, ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4993 9986 19972 24965 39944 49930 99860 124825 199720 249650 424997 499300 624125 849994 998600 1248250 1699988 2124985 2496500 3399976 4249970 4993000 8499940 10624925 16999880 21249850 42499700 53124625 84999400 106249250 212498500 424997000 2122010021 4244020042 8488040084 10610050105 16976080168 21220100210 42440200420 53050250525 84880400840 106100501050 212201002100 265251252625 424402004200 530502505250 1061005010500 2122010021000