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1120000210002 = 2323753293108293
BaseRepresentation
bin10000010011000101001…
…101101111010001010010
310222001220201222201001100
4100103011031233101102
5121322230023210002
62214304311245230
7143626435464462
oct20230515572122
93861821881040
101120000210002
113a1a97a13873
12161091979816
138180052766b
143c2cb805ba2
151e20175e11c
hex104c536f452

1120000210002 has 96 divisors (see below), whose sum is σ = 2547966356208. Its totient is φ = 355170037248.

The previous prime is 1120000210001. The next prime is 1120000210009. The reversal of 1120000210002 is 2000120000211.

It can be written as a sum of positive squares in 8 ways, for example, as 843754310721 + 276245899281 = 918561^2 + 525591^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1120000210001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288168 + ... + 10396460.

Almost surely, 21120000210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120000210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273983178104).

1120000210002 is an abundant number, since it is smaller than the sum of its proper divisors (1427966146206).

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

1120000210002 is a wasteful number, since it uses less digits than its factorization.

1120000210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108684 (or 108681 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1120000210002 its reverse (2000120000211), we get a palindrome (3120120210213).

The spelling of 1120000210002 in words is "one trillion, one hundred twenty billion, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 293 318 333 477 586 666 879 954 1758 1961 2637 3922 5274 5883 10841 11766 15529 17649 21682 31058 32523 35298 46587 65046 93174 97569 108293 139761 195138 216586 279522 324879 574573 649758 974637 1149146 1723719 1949274 3447438 4006841 5171157 5739529 8013682 10342314 11479058 12020523 17218587 24041046 31729849 34437174 36061569 51655761 63459698 72123138 95189547 103311522 190379094 212362573 285568641 424725146 571137282 637087719 1174004413 1274175438 1681681997 1911263157 2348008826 3363363994 3522013239 3822526314 5045045991 7044026478 10090091982 10566039717 15135137973 21132079434 30270275946 62222233889 124444467778 186666701667 373333403334 560000105001 1120000210002