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32121101011132 = 2275361639755469
BaseRepresentation
bin1110100110110110001101…
…10100001100100010111100
311012201202011202110101021201
413103123012310030202330
513202233003324324012
6152152121411105244
76523446553453540
oct723330664144274
9135652152411251
1032121101011132
11a264534141a11
12372934b8a2224
1314c0012003953
147d09534a5a20
153aa824742857
hex1d36c6d0c8bc

32121101011132 has 96 divisors (see below), whose sum is σ = 66538939985280. Its totient is φ = 13282713400320.

The previous prime is 32121101011123. The next prime is 32121101011141. The reversal of 32121101011132 is 23111010112123.

It is an interprime number because it is at equal distance from previous prime (32121101011123) and next prime (32121101011141).

It is a congruent number.

It is an unprimeable number.

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, 579054294 + ... + 579109762.

It is an arithmetic number, because the mean of its divisors is an integer number (693113958180).

Almost surely, 232121101011132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121101011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33269469992640).

32121101011132 is an abundant number, since it is smaller than the sum of its proper divisors (34417838974148).

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

32121101011132 is a wasteful number, since it uses less digits than its factorization.

32121101011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61991 (or 61989 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 32121101011132 its reverse (23111010112123), we get a palindrome (55232111123255).

The spelling of 32121101011132 in words is "thirty-two trillion, one hundred twenty-one billion, one hundred one million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 742 854 1484 1708 3233 6397 6466 12794 12932 22631 25588 44779 45262 55469 89558 90524 110938 179116 221876 339041 388283 390217 678082 776566 780434 1356164 1553132 1560868 2373287 2731519 2939857 3383609 4746574 5463038 5879714 6767218 9493148 10926076 11759428 13534436 20578999 20681501 23685263 41157998 41363002 47370526 82315996 82726004 94741052 144770507 179331277 289541014 354835193 358662554 579082028 709670386 717325108 1255318939 1419340772 2483846351 2510637878 4967692702 5021275756 9935385404 18806265229 21644946773 37612530458 43289893546 75225060916 86579787092 131643856603 151514627411 263287713206 303029254822 526575426412 606058509644 1147182178969 2294364357938 4588728715876 8030275252783 16060550505566 32121101011132