Search a number
-
+
2000120102200 = 2352112263314257
BaseRepresentation
bin11101000110110000011…
…100101011110100111000
321002012122210211200012201
4131012300130223310320
5230232221221232300
64130501551115544
7264334561233163
oct35066034536470
97065583750181
102000120102200
11701278722400
12283778212bb4
131167c23c596c
146cb407d4ada
153706380366a
hex1d1b072bd38

2000120102200 has 144 divisors (see below), whose sum is σ = 5130915506640. Its totient is φ = 724548633600.

The previous prime is 2000120102191. The next prime is 2000120102209. The reversal of 2000120102200 is 22010210002.

It is an interprime number because it is at equal distance from previous prime (2000120102191) and next prime (2000120102209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000120102209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6207472 + ... + 6521728.

It is an arithmetic number, because the mean of its divisors is an integer number (35631357685).

Almost surely, 22000120102200 is an apocalyptic number.

2000120102200 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 2000120102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565457753320).

2000120102200 is an abundant number, since it is smaller than the sum of its proper divisors (3130795404440).

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

2000120102200 is a wasteful number, since it uses less digits than its factorization.

2000120102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314558 (or 314538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000120102200 its reverse (22010210002), we get a palindrome (2022130312202).

The spelling of 2000120102200 in words is "two trillion, one hundred twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 263 275 440 484 526 550 605 968 1052 1100 1210 1315 2104 2200 2420 2630 2893 3025 4840 5260 5786 6050 6575 10520 11572 12100 13150 14465 23144 24200 26300 28930 31823 52600 57860 63646 72325 115720 127292 144650 159115 254584 289300 314257 318230 578600 628514 636460 795575 1257028 1272920 1571285 1591150 2514056 3142570 3182300 3456827 6285140 6364600 6913654 7856425 12570280 13827308 15712850 17284135 27654616 31425700 34568270 38025097 62851400 69136540 76050194 82649591 86420675 138273080 152100388 165299182 172841350 190125485 304200776 330598364 345682700 380250970 413247955 661196728 691365400 760501940 826495910 909145501 950627425 1521003880 1652991820 1818291002 1901254850 2066239775 3305983640 3636582004 3802509700 4132479550 4545727505 7273164008 7605019400 8264959100 9091455010 10000600511 16529918200 18182910020 20001201022 22728637525 36365820040 40002402044 45457275050 50003002555 80004804088 90914550100 100006005110 181829100200 200012010220 250015012775 400024020440 500030025550 1000060051100 2000120102200