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32213032321131 = 351072069598799
BaseRepresentation
bin1110101001100001011100…
…10110010100000001101011
311020001112110121102210200000
413110300232112110001223
513210234242233234011
6152302243542114043
76533212653632514
oct724605626240153
9136045417383600
1032213032321131
11a29a519a53872
12374312741b923
1314c88a2c9cabc
147d5194a9ba0b
153ace05414356
hex1d4c2e59406b

32213032321131 has 48 divisors (see below), whose sum is σ = 48727852992000. Its totient is φ = 21264332541408.

The previous prime is 32213032321103. The next prime is 32213032321133. The reversal of 32213032321131 is 13112323031223.

32213032321131 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 303 + 2 + 321 + 1 + 31 = 666.

It is not a de Polignac number, because 32213032321131 - 227 = 32212898103403 is a prime.

It is a super-2 number, since 2×322130323211312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32213032321095 and 32213032321104.

It is not an unprimeable number, because it can be changed into a prime (32213032321133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53496670 + ... + 54095468.

It is an arithmetic number, because the mean of its divisors is an integer number (1015163604000).

Almost surely, 232213032321131 is an apocalyptic number.

32213032321131 is a deficient number, since it is larger than the sum of its proper divisors (16514820670869).

32213032321131 is a wasteful number, since it uses less digits than its factorization.

32213032321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600990 (or 600978 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32213032321131 its reverse (13112323031223), we get a palindrome (45325355352354).

The spelling of 32213032321131 in words is "thirty-two trillion, two hundred thirteen billion, thirty-two million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 107 243 321 963 2069 2889 6207 8667 18621 26001 55863 167589 221383 502767 598799 664149 1796397 1992447 5389191 5977341 16167573 17932023 48502719 53796069 64071493 145508157 192214479 576643437 1238915131 1729930311 3716745393 5189790933 11150236179 15569372799 33450708537 100352125611 132563919017 301056376833 397691757051 1193075271153 3579225813459 10737677440377 32213032321131