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32120430101344 = 251326778773159
BaseRepresentation
bin1110100110110100111101…
…10100111000001101100000
311012201200110000000122002001
413103122132310320031200
513202230120101220334
6152151531043133344
76523424126021404
oct723323664701540
9135650400018061
1032120430101344
11a26421a461512
1237291a3074254
1314bcc3600b400
147d08cc341104
153aa7d58b9714
hex1d369ed38360

32120430101344 has 72 divisors (see below), whose sum is σ = 68576826391920. Its totient is φ = 14802914400768.

The previous prime is 32120430101297. The next prime is 32120430101363. The reversal of 32120430101344 is 44310103402123.

It is a happy number.

It is a super-2 number, since 2×321204301013442 (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 725364 + ... + 8047795.

It is an arithmetic number, because the mean of its divisors is an integer number (952455922110).

Almost surely, 232120430101344 is an apocalyptic number.

It is an amenable number.

32120430101344 is an abundant number, since it is smaller than the sum of its proper divisors (36456396290576).

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

32120430101344 is a wasteful number, since it uses less digits than its factorization.

32120430101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773872 (or 8773851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32120430101344 its reverse (44310103402123), we get a palindrome (76430533503467).

The spelling of 32120430101344 in words is "thirty-two trillion, one hundred twenty billion, four hundred thirty million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 677 1352 1354 2704 2708 5408 5416 8801 10832 17602 21664 35204 70408 114413 140816 228826 281632 457652 915304 1830608 3661216 8773159 17546318 35092636 70185272 114051067 140370544 228102134 280741088 456204268 912408536 1482663871 1824817072 2965327742 3649634144 5930655484 5939428643 11861310968 11878857286 23722621936 23757714572 47445243872 47515429144 77212572359 95030858288 154425144718 190061716576 308850289436 617700578872 1003763440667 1235401157744 2007526881334 2470802315488 4015053762668 8030107525336 16060215050672 32120430101344