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2200032002130 = 235239781140531
BaseRepresentation
bin100000000000111100001…
…000000100000001010010
321210022200000100102010120
4200000330020010001102
5242021131143032010
64402403013011110
7314642562316524
oct40007410040122
97708600312116
102200032002130
1177903478a726
122b646a323a96
1312c6013a9901
14786a6d01a14
153c364173e70
hex2003c204052

2200032002130 has 128 divisors (see below), whose sum is σ = 5573447018496. Its totient is φ = 554683852800.

The previous prime is 2200032002099. The next prime is 2200032002131. The reversal of 2200032002130 is 312002300022.

It is a super-2 number, since 2×22000320021302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2200032002131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54259965 + ... + 54300495.

It is an arithmetic number, because the mean of its divisors is an integer number (43542554832).

Almost surely, 22200032002130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200032002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786723509248).

2200032002130 is an abundant number, since it is smaller than the sum of its proper divisors (3373415016366).

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

2200032002130 is a wasteful number, since it uses less digits than its factorization.

2200032002130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41472.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2200032002130 its reverse (312002300022), we get a palindrome (2512034302152).

The spelling of 2200032002130 in words is "two trillion, two hundred billion, thirty-two million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 115 138 194 230 291 345 485 582 690 811 970 1455 1622 2231 2433 2910 4055 4462 4866 6693 8110 11155 12165 13386 18653 22310 24330 33465 37306 40531 55959 66930 78667 81062 93265 111918 121593 157334 186530 202655 236001 243186 279795 393335 405310 472002 559590 607965 786670 932213 1180005 1215930 1809341 1864426 2360010 2796639 3618682 3931507 4661065 5428023 5593278 7863014 9046705 9322130 10856046 11794521 13983195 18093410 19657535 23589042 27140115 27966390 32870641 39315070 54280230 58972605 65741282 90424661 98611923 117945210 164353205 180849322 197223846 271273983 328706410 452123305 493059615 542547966 756024743 904246610 986119230 1356369915 1512049486 2268074229 2712739830 3188452177 3780123715 4536148458 6376904354 7560247430 9565356531 11340371145 15942260885 19130713062 22680742290 31884521770 47826782655 73334400071 95653565310 146668800142 220003200213 366672000355 440006400426 733344000710 1100016001065 2200032002130