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22142015215001 = 11289151128310613
BaseRepresentation
bin1010000100011010101101…
…11100111001010110011001
32220101202102002222202122122
411002031112330321112121
510400233321343340001
6115031522410031025
74443464530650443
oct502152674712631
986352362882578
1022142015215001
117067415390900
122597330118475
13c47ca1a808b6
14567971c35493
15285e70950b1b
hex142356f39599

22142015215001 has 48 divisors (see below), whose sum is σ = 24796012429440. Its totient is φ = 19753855968000.

The previous prime is 22142015214997. The next prime is 22142015215009. The reversal of 22142015215001 is 10051251024122.

It is a happy number.

It is not a de Polignac number, because 22142015215001 - 22 = 22142015214997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22142015215009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086305371 + ... + 2086315983.

It is an arithmetic number, because the mean of its divisors is an integer number (516583592280).

Almost surely, 222142015215001 is an apocalyptic number.

It is an amenable number.

22142015215001 is a deficient number, since it is larger than the sum of its proper divisors (2653997214439).

22142015215001 is a wasteful number, since it uses less digits than its factorization.

22142015215001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12158 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 22142015215001 its reverse (10051251024122), we get a palindrome (32193266239123).

The spelling of 22142015215001 in words is "twenty-two trillion, one hundred forty-two billion, fifteen million, two hundred fifteen thousand, one".

Divisors: 1 11 89 121 151 979 1283 1661 10613 10769 13439 14113 18271 114187 116743 147829 155243 193733 944557 1256057 1284173 1602563 1626119 2131063 10390127 13616479 13816627 17242237 17628193 23441693 114291397 142628107 149781269 189664607 193910123 1211866631 1568909177 1647593959 2056088329 2086310677 13330532941 17258000947 22616971619 146635862351 182991861281 248786687809 2012910474091 22142015215001