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2210200131321 = 337213128507479
BaseRepresentation
bin100000001010011010001…
…100011001011011111001
321211021220122110220011000
4200022122030121123321
5242202442213200241
64411204003155213
7315452551066200
oct40123214313371
97737818426130
102210200131321
11782382399686
122b8427675b09
13130561b729c0
1478d8d50c237
153c75bb92eb6
hex2029a3196f9

2210200131321 has 48 divisors (see below), whose sum is σ = 4101958761600. Its totient is φ = 1165819840416.

The previous prime is 2210200131313. The next prime is 2210200131343. The reversal of 2210200131321 is 1231310020122.

2210200131321 is a `hidden beast` number, since 2 + 2 + 10 + 200 + 131 + 321 = 666.

It is not a de Polignac number, because 2210200131321 - 23 = 2210200131313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210200131294 and 2210200131303.

It is not an unprimeable number, because it can be changed into a prime (2210200131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64236541 + ... + 64270938.

It is an arithmetic number, because the mean of its divisors is an integer number (85457474200).

Almost surely, 22210200131321 is an apocalyptic number.

2210200131321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210200131321 is a deficient number, since it is larger than the sum of its proper divisors (1891758630279).

2210200131321 is a wasteful number, since it uses less digits than its factorization.

2210200131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128507515 (or 128507502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2210200131321 its reverse (1231310020122), we get a palindrome (3441510151443).

The spelling of 2210200131321 in words is "two trillion, two hundred ten billion, two hundred million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 17199 128507479 385522437 899552353 1156567311 1670597227 2698657059 3469701933 5011791681 6296866471 8095971177 11694180589 15035375043 18890599413 24287913531 35082541767 45106125129 56671798239 81859264123 105247625301 170015394717 245577792369 315742875903 736733377107 2210200131321