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13023311031120 = 24351333131259927
BaseRepresentation
bin1011110110000011100111…
…0100111110101101010000
31201010000102221022121100110
42331200321310332231100
53201333220110443440
643410454304521320
72512621534163265
oct275407164765520
951100387277313
1013023311031120
114171178618475
121564008620240
13736129308360
1433048dd5926c
15178b75e34080
hexbd839d3eb50

13023311031120 has 160 divisors (see below), whose sum is σ = 43490980899072. Its totient is φ = 3204767932416.

The previous prime is 13023311031019. The next prime is 13023311031217. The reversal of 13023311031120 is 2113011332031.

It is a happy number.

It is a super-3 number, since 3×130233110311203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 9706597 + ... + 10966523.

Almost surely, 213023311031120 is an apocalyptic number.

13023311031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023311031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745490449536).

13023311031120 is an abundant number, since it is smaller than the sum of its proper divisors (30467669867952).

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

13023311031120 is a wasteful number, since it uses less digits than its factorization.

13023311031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263269 (or 1263263 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13023311031120 its reverse (2113011332031), we get a palindrome (15136322363151).

The spelling of 13023311031120 in words is "thirteen trillion, twenty-three billion, three hundred eleven million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3313 6626 9939 13252 16565 19878 26504 33130 39756 43069 49695 53008 66260 79512 86138 99390 129207 132520 159024 172276 198780 215345 258414 265040 344552 397560 430690 516828 646035 689104 795120 861380 1033656 1259927 1292070 1722760 2067312 2519854 2584140 3445520 3779781 5039708 5168280 6299635 7559562 10079416 10336560 12599270 15119124 16379051 18898905 20158832 25198540 30238248 32758102 37797810 49137153 50397080 60476496 65516204 75595620 81895255 98274306 100794160 131032408 151191240 163790510 196548612 245685765 262064816 302382480 327581020 393097224 491371530 655162040 786194448 982743060 1310324080 1965486120 3930972240 4174138151 8348276302 12522414453 16696552604 20870690755 25044828906 33393105208 41741381510 50089657812 54263795963 62612072265 66786210416 83482763020 100179315624 108527591926 125224144530 162791387889 166965526040 200358631248 217055183852 250448289060 271318979815 325582775778 333931052080 434110367704 500896578120 542637959630 651165551556 813956939445 868220735408 1001793156240 1085275919260 1302331103112 1627913878890 2170551838520 2604662206224 3255827757780 4341103677040 6511655515560 13023311031120