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13323201330120 = 23351126937521689
BaseRepresentation
bin1100000111100000110010…
…1011101011101111001000
31202011200111210211020121120
43001320030223223233020
53221241404020030440
644200332202435240
72543366230520643
oct301701453535710
952150453736546
1013323201330120
1142773798a7790
1215b2161202b20
137584ac4a7a16
14340bbc6a2a5a
15181878b73dd0
hexc1e0caebbc8

13323201330120 has 128 divisors (see below), whose sum is σ = 43765299216000. Its totient is φ = 3217859962880.

The previous prime is 13323201330073. The next prime is 13323201330191. The reversal of 13323201330120 is 2103310232331.

13323201330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133232013301202 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18405765 + ... + 19115924.

It is an arithmetic number, because the mean of its divisors is an integer number (341916400125).

Almost surely, 213323201330120 is an apocalyptic number.

13323201330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323201330120 is an abundant number, since it is smaller than the sum of its proper divisors (30442097885880).

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

13323201330120 is a wasteful number, since it uses less digits than its factorization.

13323201330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37521983 (or 37521979 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13323201330120 its reverse (2103310232331), we get a palindrome (15426511562451).

The spelling of 13323201330120 in words is "thirteen trillion, three hundred twenty-three billion, two hundred one million, three hundred thirty 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 88 110 120 132 165 220 264 269 330 440 538 660 807 1076 1320 1345 1614 2152 2690 2959 3228 4035 5380 5918 6456 8070 8877 10760 11836 14795 16140 17754 23672 29590 32280 35508 44385 59180 71016 88770 118360 177540 355080 37521689 75043378 112565067 150086756 187608445 225130134 300173512 375216890 412738579 450260268 562825335 750433780 825477158 900520536 1125650670 1238215737 1500867560 1650954316 2063692895 2251301340 2476431474 3301908632 4127385790 4502602680 4952862948 6191078685 8254771580 9905725896 10093334341 12382157370 16509543160 20186668682 24764314740 30280003023 40373337364 49528629480 50466671705 60560006046 80746674728 100933343410 111026677751 121120012092 151400015115 201866686820 222053355502 242240024184 302800030230 333080033253 403733373640 444106711004 555133388755 605600060460 666160066506 888213422008 1110266777510 1211200120920 1332320133012 1665400166265 2220533555020 2664640266024 3330800332530 4441067110040 6661600665060 13323201330120