Search a number
-
+
32031132132120 = 23351124266009191
BaseRepresentation
bin1110100100001110101000…
…10000001010001100011000
311012102010221200010210010120
413102013110100022030120
513144244224311211440
6152042522101513240
76514113212554662
oct722072420121430
9135363850123116
1032031132132120
11a22a366047550
123713a21412820
1314b46a4789974
147ca45a789532
153a830aeb1dd0
hex1d21d440a318

32031132132120 has 64 divisors (see below), whose sum is σ = 104829159709440. Its totient is φ = 7765122940800.

The previous prime is 32031132132091. The next prime is 32031132132121. The reversal of 32031132132120 is 2123123113023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32031132132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12133003276 + ... + 12133005915.

It is an arithmetic number, because the mean of its divisors is an integer number (1637955620460).

Almost surely, 232031132132120 is an apocalyptic number.

32031132132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32031132132120 is an abundant number, since it is smaller than the sum of its proper divisors (72798027577320).

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

32031132132120 is a wasteful number, since it uses less digits than its factorization.

32031132132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24266009216 (or 24266009212 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32031132132120 its reverse (2123123113023), we get a palindrome (34154255245143).

The spelling of 32031132132120 in words is "thirty-two trillion, thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 24266009191 48532018382 72798027573 97064036764 121330045955 145596055146 194128073528 242660091910 266926101101 291192110292 363990137865 485320183820 533852202202 582384220584 727980275730 800778303303 970640367640 1067704404404 1334630505505 1455960551460 1601556606606 2135408808808 2669261011010 2911921102920 3203113213212 4003891516515 5338522022020 6406226426424 8007783033030 10677044044040 16015566066060 32031132132120