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130032233211232 = 25113896191534151
BaseRepresentation
bin11101100100001101111101…
…000100011110010101100000
3122001101221220220111002001001
4131210031331010132111200
5114020422003200224412
61140315552215321344
736250342646401312
oct3544157504362540
9561357826432031
10130032233211232
11384833a6794980
121270114b980254
135772caa509441
14241784504b7b2
15100768429e957
hex76437d11e560

130032233211232 has 96 divisors (see below), whose sum is σ = 280444212921600. Its totient is φ = 58858339776000.

The previous prime is 130032233211203. The next prime is 130032233211233. The reversal of 130032233211232 is 232112332230031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130032233211232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032233211233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83991357 + ... + 85525507.

It is an arithmetic number, because the mean of its divisors is an integer number (2921293884600).

Almost surely, 2130032233211232 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 130032233211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140222106460800).

130032233211232 is an abundant number, since it is smaller than the sum of its proper divisors (150411979710368).

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

130032233211232 is a wasteful number, since it uses less digits than its factorization.

130032233211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535180 (or 1535172 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 130032233211232 its reverse (232112332230031), we get a palindrome (362144565441263).

The spelling of 130032233211232 in words is "one hundred thirty trillion, thirty-two billion, two hundred thirty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 389 619 778 1238 1556 2476 3112 4279 4952 6224 6809 8558 9904 12448 13618 17116 19808 27236 34232 54472 68464 108944 136928 217888 240791 481582 963164 1534151 1926328 2648701 3068302 3852656 5297402 6136604 7705312 10594804 12273208 16875661 21189608 24546416 33751322 42379216 49092832 67502644 84758432 135005288 270010576 540021152 596784739 949639469 1193569478 1899278938 2387138956 3798557876 4774277912 6564632129 7597115752 9548555824 10446034159 13129264258 15194231504 19097111648 20892068318 26258528516 30388463008 41784136636 52517057032 83568273272 105034114064 167136546544 210068228128 334273093088 369409753441 738819506882 1477639013764 2955278027528 4063507287851 5910556055056 8127014575702 11821112110112 16254029151404 32508058302808 65016116605616 130032233211232