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2210301213000 = 233537110377001
BaseRepresentation
bin100000001010100000001…
…101111111100101001000
321211022011200200101010220
4200022200031333211020
5242203144102304000
64411222013510040
7315455216215026
oct40124015774510
97738150611126
102210301213000
11782424459861
122b84554a2320
13130579aa494a
1478d9cb01716
153c7659ad1a0
hex202a037f948

2210301213000 has 128 divisors (see below), whose sum is σ = 6993269187840. Its totient is φ = 581112000000.

The previous prime is 2210301212969. The next prime is 2210301213031. The reversal of 2210301213000 is 3121030122.

It is an interprime number because it is at equal distance from previous prime (2210301212969) and next prime (2210301213031).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4975501 + ... + 5401500.

It is an arithmetic number, because the mean of its divisors is an integer number (54634915530).

Almost surely, 22210301213000 is an apocalyptic number.

2210301213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210301213000 is an abundant number, since it is smaller than the sum of its proper divisors (4782967974840).

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

2210301213000 is a wasteful number, since it uses less digits than its factorization.

2210301213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377096 (or 10377082 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2210301213000 its reverse (3121030122), we get a palindrome (2213422243122).

It can be divided in two parts, 2210301 and 213000, that added together give a triangular number (2423301 = T2201).

The spelling of 2210301213000 in words is "two trillion, two hundred ten billion, three hundred one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 53250 71000 106500 213000 10377001 20754002 31131003 41508004 51885005 62262006 83016008 103770010 124524012 155655015 207540020 249048024 259425025 311310030 415080040 518850050 622620060 736767071 778275075 1037700100 1245240120 1297125125 1473534142 1556550150 2075400200 2210301213 2594250250 2947068284 3113100300 3683835355 3891375375 4420602426 5188500500 5894136568 6226200600 7367670710 7782750750 8841204852 10377001000 11051506065 14735341420 15565501500 17682409704 18419176775 22103012130 29470682840 31131003000 36838353550 44206024260 55257530325 73676707100 88412048520 92095883875 110515060650 147353414200 184191767750 221030121300 276287651625 368383535500 442060242600 552575303250 736767071000 1105150606500 2210301213000