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31142232200141 = 17196764314931499
BaseRepresentation
bin1110001010010110111011…
…01100000001001111001101
311002021011112201002120122122
413011023131230001033031
513040213242420401031
6150122313255222325
76362644355034536
oct705133554011715
9132234481076578
1031142232200141
119a1738a223097
1235ab6a66779a5
13144b91389395a
1479941368168d
153901331de47b
hex1c52ddb013cd

31142232200141 has 64 divisors (see below), whose sum is σ = 35329633920000. Its totient is φ = 27274204210176.

The previous prime is 31142232200113. The next prime is 31142232200173. The reversal of 31142232200141 is 14100223224113.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31142232200141 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31142232200141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142232200041) 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 63 ways as a sum of consecutive naturals, for example, 20775337610 + ... + 20775339108.

It is an arithmetic number, because the mean of its divisors is an integer number (552025530000).

Almost surely, 231142232200141 is an apocalyptic number.

It is an amenable number.

31142232200141 is a deficient number, since it is larger than the sum of its proper divisors (4187401719859).

31142232200141 is a wasteful number, since it uses less digits than its factorization.

31142232200141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 31142232200141 its reverse (14100223224113), we get a palindrome (45242455424254).

The spelling of 31142232200141 in words is "thirty-one trillion, one hundred forty-two billion, two hundred thirty-two million, two hundred thousand, one hundred forty-one".

Divisors: 1 17 19 67 323 643 1139 1273 1493 1499 10931 12217 21641 25381 25483 28367 28481 43081 100031 100433 207689 482239 484177 732377 818539 959999 963857 1700527 1707361 1900589 1908227 2238007 13915163 16319983 16385569 18239981 18313283 32310013 32439859 38046119 42522133 64319933 64578419 149946469 310079677 311325811 722876261 1093438861 1097833123 1222078727 1226989961 1439038501 2549089973 2848982911 20775338359 20858829337 24463654517 27341731519 48432709487 96415579567 464809435823 1639064852639 1831896011773 31142232200141