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32012211132 = 223211316738921
BaseRepresentation
bin11101110100000100…
…111001001110111100
310001121222121211010100
4131310010321032330
51011030111224012
622412312441100
72212202206416
oct356404711674
9101558554110
1032012211132
1112638071040
1262549a9190
133032226585
1417997a19b6
15c755ee8dc
hex7741393bc

32012211132 has 144 divisors (see below), whose sum is σ = 92486145024. Its totient is φ = 9247392000.

The previous prime is 32012211113. The next prime is 32012211169. The reversal of 32012211132 is 23111221023.

32012211132 is a `hidden beast` number, since 320 + 1 + 2 + 211 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803032 + ... + 841952.

It is an arithmetic number, because the mean of its divisors is an integer number (642264896).

Almost surely, 232012211132 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 32012211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46243072512).

32012211132 is an abundant number, since it is smaller than the sum of its proper divisors (60473933892).

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

32012211132 is a wasteful number, since it uses less digits than its factorization.

32012211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39040 (or 39035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32012211132 its reverse (23111221023), we get a palindrome (55123432155).

The spelling of 32012211132 in words is "thirty-two billion, twelve million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 67 93 99 124 132 134 186 198 201 268 279 341 372 396 402 558 603 682 737 804 1023 1116 1206 1364 1474 2046 2077 2211 2412 2948 3069 4092 4154 4422 6138 6231 6633 8308 8844 12276 12462 13266 18693 22847 24924 26532 37386 38921 45694 68541 74772 77842 91388 116763 137082 155684 205623 233526 274164 350289 411246 428131 467052 700578 822492 856262 1206551 1284393 1401156 1712524 2413102 2568786 2607707 3619653 3853179 4826204 5137572 5215414 7239306 7706358 7823121 10430828 10858959 13272061 14478612 15412716 15646242 21717918 23469363 26544122 28684777 31292484 39816183 43435836 46938726 53088244 57369554 79632366 80838917 86054331 93877452 114739108 119448549 159264732 161677834 172108662 238897098 242516751 258162993 323355668 344217324 477794196 485033502 516325986 727550253 889228087 970067004 1032651972 1455100506 1778456174 2667684261 2910201012 3556912348 5335368522 8003052783 10670737044 16006105566 32012211132