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22131131001 = 372357779411
BaseRepresentation
bin10100100111000111…
…100100001001111001
32010010100121221101120
4110213013210021321
5330311032143001
614100014535453
71412300336550
oct244707441171
963110557346
1022131131001
1194274a0311
124357807589
1321190754b5
1410dd356d97
15897dd2236
hex5271e4279

22131131001 has 32 divisors (see below), whose sum is σ = 35251304448. Its totient is φ = 12075402240.

The previous prime is 22131130999. The next prime is 22131131017. The reversal of 22131131001 is 10013113122.

It is a happy number.

It is not a de Polignac number, because 22131131001 - 21 = 22131130999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131131801) by changing a digit.

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, 238986 + ... + 318396.

It is an arithmetic number, because the mean of its divisors is an integer number (1101603264).

Almost surely, 222131131001 is an apocalyptic number.

22131131001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22131131001 is a deficient number, since it is larger than the sum of its proper divisors (13120173447).

22131131001 is a wasteful number, since it uses less digits than its factorization.

22131131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80021.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 22131131001 its reverse (10013113122), we get a palindrome (32144244123).

The spelling of 22131131001 in words is "twenty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, one".

Divisors: 1 3 7 21 23 69 161 483 577 1731 4039 12117 13271 39813 79411 92897 238233 278691 555877 1667631 1826453 5479359 12785171 38355513 45820147 137460441 320741029 962223087 1053863381 3161590143 7377043667 22131131001