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120133333311320 = 235723115663161281
BaseRepresentation
bin11011010100001010111000…
…101010000101111101011000
3120202100122010112221001002002
4123110022320222011331120
5111221231031311430240
61103300254052300132
734206226663503260
oct3324127052057530
9522318115831062
10120133333311320
113530729586a48a
121158278a311648
1352056a8a77a64
1421946ad1067a0
15dd4e24e4bd15
hex6d42b8a85f58

120133333311320 has 128 divisors (see below), whose sum is σ = 322350127165440. Its totient is φ = 39397179064320.

The previous prime is 120133333311203. The next prime is 120133333311401. The reversal of 120133333311320 is 23113333331021.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 744789080 + ... + 744950360.

It is an arithmetic number, because the mean of its divisors is an integer number (2518360368480).

Almost surely, 2120133333311320 is an apocalyptic number.

120133333311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133333311320 is an abundant number, since it is smaller than the sum of its proper divisors (202216793854120).

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

120133333311320 is a wasteful number, since it uses less digits than its factorization.

120133333311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276985 (or 276981 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 120133333311320 its reverse (23113333331021), we get a palindrome (143246666642341).

The spelling of 120133333311320 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 115663 161281 231326 322562 462652 578315 645124 806405 809641 925304 1128967 1156630 1290248 1612810 1619282 2257934 2313260 2660249 3225620 3238564 3709463 4048205 4515868 4626520 5320498 5644835 6451240 6477128 7418926 8096410 9031736 10640996 11289670 13301245 14837852 16192820 18547315 18621743 21281992 22579340 25966241 26602490 29675704 32385640 37094630 37243486 45158680 51932482 53204980 74189260 74486972 93108715 103864964 106409960 129831205 148378520 148973944 186217430 207729928 259662410 372434860 519324820 744869720 1038649640 18654244303 37308488606 74616977212 93271221515 130579710121 149233954424 186542443030 261159420242 373084886060 429047618969 522318840484 652898550605 746169772120 858095237938 1044637680968 1305797101210 1716190475876 2145238094845 2611594202420 3003333332783 3432380951752 4290476189690 5223188404840 6006666665566 8580952379380 12013333331132 15016666663915 17161904758760 24026666662264 30033333327830 60066666655660 120133333311320