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13202231120 = 24513139271337
BaseRepresentation
bin11000100101110101…
…00000111101010000
31021002002022211101222
430102322200331100
5204014232343440
610022013344212
7645110053511
oct142272407520
937062284358
1013202231120
115665351711
122685498068
13132525a6a0
148d356ca08
1552409c2b5
hex312ea0f50

13202231120 has 160 divisors (see below), whose sum is σ = 33516188160. Its totient is φ = 4807434240.

The previous prime is 13202231101. The next prime is 13202231137. The reversal of 13202231120 is 2113220231.

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, 39175592 + ... + 39175928.

It is an arithmetic number, because the mean of its divisors is an integer number (209476176).

Almost surely, 213202231120 is an apocalyptic number.

13202231120 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 13202231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758094080).

13202231120 is an abundant number, since it is smaller than the sum of its proper divisors (20313957040).

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

13202231120 is a wasteful number, since it uses less digits than its factorization.

13202231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13202231120 its reverse (2113220231), we get a palindrome (15315451351).

The spelling of 13202231120 in words is "thirteen billion, two hundred two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 271 278 337 520 542 556 674 695 1040 1084 1112 1348 1355 1390 1685 1807 2168 2224 2696 2710 2780 3370 3523 3614 4336 4381 5392 5420 5560 6740 7046 7228 8762 9035 10840 11120 13480 14092 14456 17524 17615 18070 21680 21905 26960 28184 28912 35048 35230 36140 37669 43810 46843 56368 70096 70460 72280 75338 87620 91327 93686 140920 144560 150676 175240 182654 187372 188345 234215 281840 301352 350480 365308 374744 376690 456635 468430 489697 602704 608959 730616 749488 753380 913270 936860 979394 1187251 1217918 1461232 1506760 1826540 1873720 1958788 2374502 2435836 2448485 3013520 3044795 3653080 3747440 3917576 4749004 4871672 4896970 5936255 6089590 7306160 7835152 9498008 9743344 9793940 11872510 12179180 12694453 18996016 19587880 23745020 24358360 25388906 39175760 47490040 48716720 50777812 63472265 94980080 101555624 126944530 165027889 203111248 253889060 330055778 507778120 660111556 825139445 1015556240 1320223112 1650278890 2640446224 3300557780 6601115560 13202231120