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1011142132221 = 313199765921347
BaseRepresentation
bin11101011011011001100…
…01001000000111111101
310120122221020022101110210
432231230301020013331
5113031304341212341
62052302353023033
7133024021212354
oct16555461100775
93518836271423
101011142132221
1135a906411831
12143b71554a79
1374472798ba0
1436d2215499b
151b47ea2dc16
hexeb6cc481fd

1011142132221 has 64 divisors (see below), whose sum is σ = 1546483276800. Its totient is φ = 582501943296.

The previous prime is 1011142132211. The next prime is 1011142132331. The reversal of 1011142132221 is 1222312411101.

It is not a de Polignac number, because 1011142132221 - 219 = 1011141607933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011142132211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47356270 + ... + 47377616.

It is an arithmetic number, because the mean of its divisors is an integer number (24163801200).

Almost surely, 21011142132221 is an apocalyptic number.

It is an amenable number.

1011142132221 is a deficient number, since it is larger than the sum of its proper divisors (535341144579).

1011142132221 is a wasteful number, since it uses less digits than its factorization.

1011142132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1011142132221 its reverse (1222312411101), we get a palindrome (2233454543322).

The spelling of 1011142132221 in words is "one trillion, eleven billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 13 19 39 57 97 247 291 659 741 1261 1843 1977 3783 5529 8567 12521 21347 23959 25701 37563 63923 64041 71877 162773 191769 277511 405593 488319 830999 832533 1214537 1216779 2070659 2492997 3643611 5272709 6211977 14067673 15788981 15818127 26918567 39342521 42203019 47366943 80755701 118027563 182879749 267285787 511452773 548639247 801857361 1364564281 1534358319 3474715231 4093692843 10424145693 17739335653 25926721339 53218006959 77780164017 337047377407 1011142132221