Search a number
-
+
32020233003120 = 2435401953349121
BaseRepresentation
bin1110100011111010010101…
…00111010010000001110000
311012101002211002111122220010
413101331022213102001300
513144104414122044440
6152033520355414520
76513246136522455
oct721751247220160
9135332732448803
1032020233003120
11a22578284561a
12371189b2b4440
1314b365871c3cb
147c9b0505582c
153a7dbe1ea580
hex1d1f4a9d2070

32020233003120 has 160 divisors (see below), whose sum is σ = 99614963502144. Its totient is φ = 8508473344000.

The previous prime is 32020233003103. The next prime is 32020233003133. The reversal of 32020233003120 is 2130033202023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91542160 + ... + 91891280.

Almost surely, 232020233003120 is an apocalyptic number.

32020233003120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32020233003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49807481751072).

32020233003120 is an abundant number, since it is smaller than the sum of its proper divisors (67594730499024).

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

32020233003120 is a wasteful number, since it uses less digits than its factorization.

32020233003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350491 (or 350485 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32020233003120 its reverse (2130033202023), we get a palindrome (34150266205143).

The spelling of 32020233003120 in words is "thirty-two trillion, twenty billion, two hundred thirty-three million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 953 1203 1604 1906 2005 2406 2859 3208 3812 4010 4765 4812 5718 6015 6416 7624 8020 9530 9624 11436 12030 14295 15248 16040 19060 19248 22872 24060 28590 32080 38120 45744 48120 57180 76240 96240 114360 228720 349121 382153 698242 764306 1047363 1146459 1396484 1528612 1745605 1910765 2094726 2292918 2792968 3057224 3491210 3821530 4189452 4585836 5236815 5585936 5732295 6114448 6982420 7643060 8378904 9171672 10473630 11464590 13964840 15286120 16757808 18343344 20947260 22929180 27929680 30572240 41894520 45858360 83789040 91716720 139997521 279995042 332712313 419992563 559990084 665424626 699987605 839985126 998136939 1119980168 1330849252 1399975210 1663561565 1679970252 1996273878 2099962815 2239960336 2661698504 2799950420 3327123130 3359940504 3992547756 4199925630 4990684695 5323397008 5599900840 6654246260 6719881008 7985095512 8399851260 9981369390 11199801680 13308492520 15970191024 16799702520 19962738780 26616985040 33599405040 39925477560 79850955120 133417637513 266835275026 400252912539 533670550052 667088187565 800505825078 1067341100104 1334176375130 1601011650156 2001264562695 2134682200208 2668352750260 3202023300312 4002529125390 5336705500520 6404046600624 8005058250780 10673411001040 16010116501560 32020233003120