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32112130010240 = 275734877205519
BaseRepresentation
bin1110100110100101100000…
…00110100010110010000000
311012200220000112221022120102
413103102300012202302000
513202111120240311430
6152144035303301532
76523011342302150
oct723226006426200
9135626015838512
1032112130010240
11a260750258195
12372766744a8a8
1314bc212567bb7
147d0341c7c760
153aa49bd93345
hex1d34b01a2c80

32112130010240 has 128 divisors (see below), whose sum is σ = 87737869094400. Its totient is φ = 11009503899648.

The previous prime is 32112130010237. The next prime is 32112130010243. The reversal of 32112130010240 is 4201003121123.

It is an interprime number because it is at equal distance from previous prime (32112130010237) and next prime (32112130010243).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32112130010243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156146201 + ... + 156351719.

It is an arithmetic number, because the mean of its divisors is an integer number (685452102300).

Almost surely, 232112130010240 is an apocalyptic number.

It is an amenable number.

32112130010240 is an abundant number, since it is smaller than the sum of its proper divisors (55625739084160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32112130010240 is a wasteful number, since it uses less digits than its factorization.

32112130010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240422 (or 240410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 32112130010240 its reverse (4201003121123), we get a palindrome (36313133131363).

The spelling of 32112130010240 in words is "thirty-two trillion, one hundred twelve billion, one hundred thirty million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 34877 69754 139508 174385 205519 244139 279016 348770 411038 488278 558032 697540 822076 976556 1027595 1116064 1220695 1395080 1438633 1644152 1953112 2055190 2232128 2441390 2790160 2877266 3288304 3906224 4110380 4464256 4882780 5580320 5754532 6576608 7193165 7812448 8220760 9765560 11160640 11509064 13153216 14386330 15624896 16441520 19531120 22321280 23018128 26306432 28772660 31249792 32883040 39062240 46036256 57545320 65766080 78124480 92072512 115090640 131532160 156248960 184145024 230181280 460362560 920725120 7167886163 14335772326 28671544652 35839430815 50175203141 57343089304 71678861630 100350406282 114686178608 143357723260 200700812564 229372357216 250876015705 286715446520 401401625128 458744714432 501752031410 573430893040 802803250256 917489428864 1003504062820 1146861786080 1605606500512 2007008125640 2293723572160 3211213001024 4014016251280 4587447144320 6422426002048 8028032502560 16056065005120 32112130010240