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13537201120 = 2551135091471
BaseRepresentation
bin11001001101110000…
…10100101111100000
31021221102122001212021
430212320110233200
5210211010413440
610115141111224
7656315211442
oct144670245740
937842561767
1013537201120
115817440623
1227596b8514
1313797806a1
14925c46492
155436b784a
hex326e14be0

13537201120 has 96 divisors (see below), whose sum is σ = 32350026240. Its totient is φ = 5352775680.

The previous prime is 13537201091. The next prime is 13537201123. The reversal of 13537201120 is 2110273531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9201985 + ... + 9203455.

It is an arithmetic number, because the mean of its divisors is an integer number (336979440).

Almost surely, 213537201120 is an apocalyptic number.

13537201120 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 13537201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175013120).

13537201120 is an abundant number, since it is smaller than the sum of its proper divisors (18812825120).

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

13537201120 is a wasteful number, since it uses less digits than its factorization.

13537201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 13537201120 its reverse (2110273531), we get a palindrome (15647474651).

The spelling of 13537201120 in words is "thirteen billion, five hundred thirty-seven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 509 565 904 1018 1130 1471 1808 2036 2260 2545 2942 3616 4072 4520 5090 5884 7355 8144 9040 10180 11768 14710 16288 18080 20360 23536 29420 40720 47072 57517 58840 81440 115034 117680 166223 230068 235360 287585 332446 460136 575170 664892 748739 831115 920272 1150340 1329784 1497478 1662230 1840544 2300680 2659568 2994956 3324460 3743695 4601360 5319136 5989912 6648920 7487390 9202720 11979824 13297840 14974780 23959648 26595680 29949560 59899120 84607507 119798240 169215014 338430028 423037535 676860056 846075070 1353720112 1692150140 2707440224 3384300280 6768600560 13537201120