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13232231233520 = 2451367859221071
BaseRepresentation
bin1100000010001101111001…
…1100010011011111110000
31201211222200221112112010112
43000203132130103133300
53213244102143433040
644050445245520452
72533666011460265
oct300433634233760
951758627475115
1013232231233520
114241837627772
1215985b3573128
1374ca426b85b0
1433a62c9dd26c
1517e302571365
hexc08de7137f0

13232231233520 has 160 divisors (see below), whose sum is σ = 33665268618240. Its totient is φ = 4807200752640.

The previous prime is 13232231233433. The next prime is 13232231233553. The reversal of 13232231233520 is 2533213223231.

13232231233520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 59744585 + ... + 59965655.

It is an arithmetic number, because the mean of its divisors is an integer number (210407928864).

Almost surely, 213232231233520 is an apocalyptic number.

13232231233520 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 13232231233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832634309120).

13232231233520 is an abundant number, since it is smaller than the sum of its proper divisors (20433037384720).

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

13232231233520 is a wasteful number, since it uses less digits than its factorization.

13232231233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222023 (or 222017 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 13232231233520 its reverse (2533213223231), we get a palindrome (15765444456751).

The spelling of 13232231233520 in words is "thirteen trillion, two hundred thirty-two billion, two hundred thirty-one million, two hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 859 871 1040 1072 1340 1718 1742 2680 3436 3484 4295 4355 5360 6872 6968 8590 8710 11167 13744 13936 17180 17420 22334 34360 34840 44668 55835 57553 68720 69680 89336 111670 115106 178672 221071 223340 230212 287765 442142 446680 460424 575530 748189 884284 893360 920848 1105355 1151060 1496378 1768568 2210710 2302120 2873923 2992756 3537136 3740945 4421420 4604240 5747846 5985512 7481890 8842840 11495692 11971024 14369615 14811757 14963780 17685680 22991384 28739230 29623514 29927560 45982768 57478460 59247028 59855120 74058785 114956920 118494056 148117570 189899989 192552841 229913840 236988112 296235140 379799978 385105682 592470280 759599956 770211364 949499945 962764205 1184940560 1519199912 1540422728 1898999890 1925528410 2468699857 3038399824 3080845456 3797999780 3851056820 4937399714 7595999560 7702113640 9874799428 12343499285 12723299263 15191999120 15404227280 19749598856 24686998570 25446598526 39499197712 49373997140 50893197052 63616496315 98747994280 101786394104 127232992630 165402890419 197495988560 203572788208 254465985260 330805780838 508931970520 661611561676 827014452095 1017863941040 1323223123352 1654028904190 2646446246704 3308057808380 6616115616760 13232231233520