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1332101142330 = 235742175120063
BaseRepresentation
bin10011011000100111011…
…010100101011100111010
311201100101102022110000120
4103120213122211130322
5133311120343023310
62455543034314110
7165145464612540
oct23304732453472
94640342273016
101332101142330
11473a39404592
12196205b88936
139880288a30a
144868ca99d90
15249b723eb70
hex136276a573a

1332101142330 has 128 divisors (see below), whose sum is σ = 3667501449216. Its totient is φ = 303337440000.

The previous prime is 1332101142329. The next prime is 1332101142367. The reversal of 1332101142330 is 332411012331.

It is a self number, because there is not a number n which added to its sum of digits gives 1332101142330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66385879 + ... + 66405941.

It is an arithmetic number, because the mean of its divisors is an integer number (28652355072).

Almost surely, 21332101142330 is an apocalyptic number.

1332101142330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332101142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833750724608).

1332101142330 is an abundant number, since it is smaller than the sum of its proper divisors (2335400306886).

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

1332101142330 is a wasteful number, since it uses less digits than its factorization.

1332101142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21252.

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

Adding to 1332101142330 its reverse (332411012331), we get a palindrome (1664512154661).

The spelling of 1332101142330 in words is "one trillion, three hundred thirty-two billion, one hundred one million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 421 751 842 1263 1502 2105 2253 2526 2947 3755 4210 4506 5257 5894 6315 7510 8841 10514 11265 12630 14735 15771 17682 20063 22530 26285 29470 31542 40126 44205 52570 60189 78855 88410 100315 120378 140441 157710 200630 280882 300945 316171 421323 601890 632342 702205 842646 948513 1404410 1580855 1897026 2106615 2213197 3161710 4213230 4426394 4742565 6639591 8446523 9485130 11065985 13279182 15067313 16893046 22131970 25339569 30134626 33197955 42232615 45201939 50679138 59125661 66395910 75336565 84465230 90403878 105471191 118251322 126697845 150673130 177376983 210942382 226009695 253395690 295628305 316413573 354753966 452019390 527355955 591256610 632827146 886884915 1054711910 1582067865 1773769830 3164135730 6343338773 12686677546 19030016319 31716693865 38060032638 44403371411 63433387730 88806742822 95150081595 133210114233 190300163190 222016857055 266420228466 444033714110 666050571165 1332101142330