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32110112002000 = 245322697075829
BaseRepresentation
bin1110100110100001101111…
…10100011100111111010000
311012200200210220200212200111
413103100313310130333100
513202043002133031000
6152143103134331104
76522610336435204
oct723206764347720
9135620726625614
1032110112002000
11a25a90513078a
1237271a3659a94
1314bbc80456b96
147d01cdc56b04
153aa3ceb24cba
hex1d3437d1cfd0

32110112002000 has 80 divisors (see below), whose sum is σ = 77676480507600. Its totient is φ = 12838382323200.

The previous prime is 32110112001931. The next prime is 32110112002051. The reversal of 32110112002000 is 20021101123.

It can be written as a sum of positive squares in 8 ways, for example, as 21807629778496 + 10302482223504 = 4669864^2 + 3209748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000086 + ... + 8075914.

It is an arithmetic number, because the mean of its divisors is an integer number (970956006345).

Almost surely, 232110112002000 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 32110112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38838240253800).

32110112002000 is an abundant number, since it is smaller than the sum of its proper divisors (45566368505600).

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

32110112002000 is a wasteful number, since it uses less digits than its factorization.

32110112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078121 (or 7078105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 32110112002000 its reverse (20021101123), we get a palindrome (32130133103123).

The spelling of 32110112002000 in words is "thirty-two trillion, one hundred ten billion, one hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2269 4538 9076 11345 18152 22690 36304 45380 56725 90760 113450 181520 226900 283625 453800 567250 907600 1134500 2269000 4538000 7075829 14151658 28303316 35379145 56606632 70758290 113213264 141516580 176895725 283033160 353791450 566066320 707582900 884478625 1415165800 1768957250 2830331600 3537914500 7075829000 14151658000 16055056001 32110112002 64220224004 80275280005 128440448008 160550560010 256880896016 321101120020 401376400025 642202240040 802752800050 1284404480080 1605505600100 2006882000125 3211011200200 4013764000250 6422022400400 8027528000500 16055056001000 32110112002000