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2120000120100 = 2232522355555689
BaseRepresentation
bin11110110110011001110…
…110101010010100100100
321111200002110020120012200
4132312121312222110210
5234213230012320400
64301525320014500
7306110402460432
oct36663166522444
97450073216180
102120000120100
117480a5888165
122a2a53901430
13124bb87912b5
1474873c27d52
153a22cea8b00
hex1ed99daa524

2120000120100 has 54 divisors (see below), whose sum is σ = 6645022601490. Its totient is φ = 565333365120.

The previous prime is 2120000120083. The next prime is 2120000120137. The reversal of 2120000120100 is 10210000212.

It can be written as a sum of positive squares in 3 ways, for example, as 560638542564 + 1559361577536 = 748758^2 + 1248744^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1177776945 + ... + 1177778744.

Almost surely, 22120000120100 is an apocalyptic number.

2120000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120000120100 is an abundant number, since it is smaller than the sum of its proper divisors (4525022481390).

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

2120000120100 is a wasteful number, since it uses less digits than its factorization.

2120000120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355555709 (or 2355555699 counting only the distinct ones).

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

Adding to 2120000120100 its reverse (10210000212), we get a palindrome (2130210120312).

The spelling of 2120000120100 in words is "two trillion, one hundred twenty billion, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2355555689 4711111378 7066667067 9422222756 11777778445 14133334134 21200001201 23555556890 28266668268 35333335335 42400002402 47111113780 58888892225 70666670670 84800004804 106000006005 117777784450 141333341340 176666676675 212000012010 235555568900 353333353350 424000024020 530000030025 706666706700 1060000060050 2120000120100