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32001020231013 = 3359617111341047
BaseRepresentation
bin1110100011010110100010…
…11100010111110101100101
311012022021020010021201022000
413101223101130113311211
513143301042134343023
6152021022111155513
76511666053615561
oct721532134276545
9135267203251260
1032001020231013
11a218613723569
12370a018b15b99
1314b18b61750c2
147c8c015326a1
153a7647632243
hex1d1ad1717d65

32001020231013 has 128 divisors (see below), whose sum is σ = 50133991219200. Its totient is φ = 20157592089600.

The previous prime is 32001020230957. The next prime is 32001020231041. The reversal of 32001020231013 is 31013202010023.

32001020231013 is a `hidden beast` number, since 320 + 0 + 1 + 0 + 20 + 2 + 310 + 13 = 666.

It is a de Polignac number, because none of the positive numbers 2k-32001020231013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32001010231013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779598456 + ... + 779639502.

It is an arithmetic number, because the mean of its divisors is an integer number (391671806400).

Almost surely, 232001020231013 is an apocalyptic number.

It is an amenable number.

32001020231013 is a deficient number, since it is larger than the sum of its proper divisors (18132970988187).

32001020231013 is a wasteful number, since it uses less digits than its factorization.

32001020231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41360 (or 41354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32001020231013 its reverse (31013202010023), we get a palindrome (63014222241036).

The spelling of 32001020231013 in words is "thirty-two trillion, one billion, twenty million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 27 59 61 71 113 177 183 213 339 531 549 639 1017 1593 1647 1917 3051 3599 4189 4331 6667 6893 8023 10797 12567 12993 20001 20679 24069 32391 37701 38979 41047 60003 62037 72207 97173 113103 116937 123141 180009 186111 216621 255529 369423 406687 473357 489403 766587 1108269 1220061 1420071 1468209 2299761 2421773 2503867 2914337 3660183 4260213 4404627 4638311 6899283 7265319 7511601 8743011 10980549 12780639 13213881 13914933 21795957 22534803 26229033 28874777 41744799 65387871 67604409 78687099 86624331 125234397 147728153 171945883 177774557 259872993 273660349 282936971 329320081 443184459 515837649 533323671 779618979 820981047 848810913 987960243 1329553377 1547512947 1599971013 2462943141 2546432739 2963880729 3988660131 4642538841 4799913039 7388829423 7639298217 8891642187 10488698863 16693281289 19429884779 20088524941 31466096589 50079843867 58289654337 60265574823 94398289767 150239531601 174868963011 180796724469 283194869301 450718594803 524606889033 542390173407 1185222971519 3555668914557 10667006743671 32001020231013