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32012120310132 = 223174158320177
BaseRepresentation
bin1110100011101011001110…
…00011110100000101110100
311012100022212201001011021110
413101311213003310011310
513143441310244411012
6152030055352315020
76512541120003354
oct721654703640564
9135308781034243
1032012120310132
11a22229a3a7276
1237101b63a2a70
1314b2964a40261
147c9575814b64
153a7a96d8e73c
hex1d1d670f4174

32012120310132 has 120 divisors (see below), whose sum is σ = 79417396308096. Its totient is φ = 10036176410624.

The previous prime is 32012120310089. The next prime is 32012120310151. The reversal of 32012120310132 is 23101302121023.

It is a junction number, because it is equal to n+sod(n) for n = 32012120310099 and 32012120310108.

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 39 ways as a sum of consecutive naturals, for example, 1586554828 + ... + 1586575004.

Almost surely, 232012120310132 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 32012120310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39708698154048).

32012120310132 is an abundant number, since it is smaller than the sum of its proper divisors (47405275997964).

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

32012120310132 is a wasteful number, since it uses less digits than its factorization.

32012120310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21835 (or 21782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32012120310132 its reverse (23101302121023), we get a palindrome (55113422431155).

The spelling of 32012120310132 in words is "thirty-two trillion, twelve billion, one hundred twenty million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1583 1734 3166 3468 4749 4913 6332 9498 9826 14739 18996 19652 20177 26911 29478 40354 53822 58956 60531 80708 80733 83521 107644 121062 161466 167042 242124 250563 322932 334084 343009 457487 501126 686018 914974 1002252 1029027 1372036 1372461 1829948 2058054 2744922 4116108 5489844 5831153 7777279 11662306 15554558 17493459 23324612 23331837 31109116 31940191 34986918 46663674 63880382 69973836 93327348 95820573 99129601 127760764 132213743 191641146 198259202 264427486 297388803 383282292 396518404 396641229 528854972 542983247 594777606 793282458 1085966494 1189555212 1586564916 1628949741 1685203217 2171932988 3257899482 3370406434 5055609651 6515798964 6740812868 9230715199 10111219302 18461430398 20222438604 27692145597 36922860796 55384291194 110768582388 156922158383 313844316766 470766475149 627688633532 941532950298 1883065900596 2667676692511 5335353385022 8003030077533 10670706770044 16006060155066 32012120310132