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332100013331130 = 2351115154191229869
BaseRepresentation
bin100101110000010110000111…
…1010100110001001010111010
31121112212110011221012211102120
41023200230033110301022322
5322012111311403044010
63134152350121142110
7126644301631025202
oct11340541724611272
91545773157184376
10332100013331130
11968a9908772320
12312b725a62a936
131133cb875a49b5
145c01a253a3402
15285da3bad4e70
hex12e0b0f5312ba

332100013331130 has 128 divisors (see below), whose sum is σ = 875418711091200. Its totient is φ = 79961097888000.

The previous prime is 332100013331117. The next prime is 332100013331143. The reversal of 332100013331130 is 31133310001233.

It is an interprime number because it is at equal distance from previous prime (332100013331117) and next prime (332100013331143).

It is a super-2 number, since 2×3321000133311302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332100013331130.

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 63 ways as a sum of consecutive naturals, for example, 269413836 + ... + 270643704.

It is an arithmetic number, because the mean of its divisors is an integer number (6839208680400).

Almost surely, 2332100013331130 is an apocalyptic number.

332100013331130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332100013331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437709355545600).

332100013331130 is an abundant number, since it is smaller than the sum of its proper divisors (543318697760070).

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

332100013331130 is a wasteful number, since it uses less digits than its factorization.

332100013331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235460.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 332100013331130 its reverse (31133310001233), we get a palindrome (363233323332363).

The spelling of 332100013331130 in words is "three hundred thirty-two trillion, one hundred billion, thirteen million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 755 906 1510 1661 2265 3322 4530 4983 5419 8305 9966 10838 16257 16610 24915 27095 32514 49830 54190 59609 81285 119218 162570 178827 298045 357654 596090 818269 894135 1229869 1636538 1788270 2454807 2459738 3689607 4091345 4909614 6149345 7379214 8182690 9000959 12274035 12298690 13528559 18001918 18448035 24548070 27002877 27057118 36896070 40585677 45004795 54005754 67642795 81171354 90009590 135014385 135285590 185710219 202928385 270028770 371420438 405856770 557130657 928551095 1114261314 1857102190 2042812409 2785653285 4085624818 5571306570 6128437227 6664660111 10214062045 12256874454 13329320222 19993980333 20428124090 30642186135 33323300555 39987960666 61284372270 66646601110 73311261221 99969901665 146622522442 199939803330 219933783663 366556306105 439867567326 733112612210 1006363676761 1099668918315 2012727353522 2199337836630 3019091030283 5031818383805 6038182060566 10063636767610 11070000444371 15095455151415 22140000888742 30190910302830 33210001333113 55350002221855 66420002666226 110700004443710 166050006665565 332100013331130