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2210220131301 = 337132401172561
BaseRepresentation
bin100000001010011011011…
…000101100001111100101
321211021222001002222222000
4200022123120230033211
5242203012323200201
64411205555555513
7315453213065160
oct40123330541745
97737861088860
102210220131301
11782392709996
122b84322bbb99
13130566056100
1478d92036ad7
153c75d7e3d86
hex2029b62c3e5

2210220131301 has 96 divisors (see below), whose sum is σ = 4062302749440. Its totient is φ = 1162916352000.

The previous prime is 2210220131297. The next prime is 2210220131303. The reversal of 2210220131301 is 1031310220122.

2210220131301 is a `hidden beast` number, since 2 + 2 + 10 + 220 + 131 + 301 = 666.

It is not a de Polignac number, because 2210220131301 - 22 = 2210220131297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210220131303) 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 95 ways as a sum of consecutive naturals, for example, 12722061 + ... + 12894621.

It is an arithmetic number, because the mean of its divisors is an integer number (42315653640).

Almost surely, 22210220131301 is an apocalyptic number.

2210220131301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210220131301 is a deficient number, since it is larger than the sum of its proper divisors (1852082618139).

2210220131301 is a wasteful number, since it uses less digits than its factorization.

2210220131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173004 (or 172985 counting only the distinct ones).

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

Adding to 2210220131301 its reverse (1031310220122), we get a palindrome (3241530351423).

The spelling of 2210220131301 in words is "two trillion, two hundred ten billion, two hundred twenty million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 273 351 401 507 819 1183 1203 1521 2457 2807 3549 3609 4563 5213 8421 10647 10827 15639 25263 31941 36491 46917 67769 75789 109473 140751 172561 203307 328419 474383 517683 609921 985257 1207927 1423149 1553049 1829763 2243293 3623781 4269447 4659147 6729879 10871343 12808341 15703051 20189637 29162809 32614029 47109153 60568911 69196961 87488427 141327459 204139663 207590883 262465281 423982377 484378727 612418989 622772649 787395843 899560493 1453136181 1837256967 1868317947 2698681479 4359408543 5511770901 6296923451 8096044437 11694286409 13078225629 18890770353 24288133311 35082859227 56672311059 81860004863 105248577681 170016933177 245580014589 315745733043 736740043767 2210220131301