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32023013101001 = 1329438812242211
BaseRepresentation
bin1110100011111111100000…
…10100100000110111001001
311012101100222211202021020022
413101333300110200313021
513144131112323213001
6152035100310510225
76513405055130216
oct721776024406711
9135340884667208
1032023013101001
11a22697a06a27a
123712336365375
1314b39ac69b940
147c9cca378b0d
153a7ed330311b
hex1d1ff0520dc9

32023013101001 has 32 divisors (see below), whose sum is σ = 36546620584320. Its totient is φ = 27845019417600.

The previous prime is 32023013100973. The next prime is 32023013101031. The reversal of 32023013101001 is 10010131032023.

It is a cyclic number.

It is not a de Polignac number, because 32023013101001 - 234 = 32005833231817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32023013101031) 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 31 ways as a sum of consecutive naturals, for example, 13160786 + ... + 15402996.

It is an arithmetic number, because the mean of its divisors is an integer number (1142081893260).

Almost surely, 232023013101001 is an apocalyptic number.

It is an amenable number.

32023013101001 is a deficient number, since it is larger than the sum of its proper divisors (4523607483319).

32023013101001 is a wasteful number, since it uses less digits than its factorization.

32023013101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243177.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 32023013101001 its reverse (10010131032023), we get a palindrome (42033144133024).

The spelling of 32023013101001 in words is "thirty-two trillion, twenty-three billion, thirteen million, one hundred one thousand, one".

Divisors: 1 13 29 43 377 559 881 1247 11453 16211 25549 37883 332137 492479 1098607 2242211 14281891 29148743 65024119 96415073 845313547 1253395949 1975387891 2796037117 25680042583 36348482521 57286248839 84941679313 744721234907 1104241831069 2463308700077 32023013101001