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13232213010 = 23251012116899
BaseRepresentation
bin11000101001011001…
…11000110000010010
31021011011202001211100
430110230320300102
5204044421304020
610025004125230
7645622645332
oct142454706022
937134661740
1013232213010
11568026a535
122693536816
13132b527353
148d75350c2
15526a20a90
hex314b38c12

13232213010 has 96 divisors (see below), whose sum is σ = 34914110400. Its totient is φ = 3476592000.

The previous prime is 13232212979. The next prime is 13232213017. The reversal of 13232213010 is 1031223231.

It is a super-2 number, since 2×132322130102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13232213017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914541 + ... + 1921439.

It is an arithmetic number, because the mean of its divisors is an integer number (363688650).

Almost surely, 213232213010 is an apocalyptic number.

13232213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457055200).

13232213010 is an abundant number, since it is smaller than the sum of its proper divisors (21681897390).

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

13232213010 is a wasteful number, since it uses less digits than its factorization.

13232213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232213010 its reverse (1031223231), we get a palindrome (14263436241).

It can be divided in two parts, 1323221 and 3010, that added together give a palindrome (1326231).

The spelling of 13232213010 in words is "thirteen billion, two hundred thirty-two million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 211 303 422 505 606 633 909 1010 1055 1266 1515 1818 1899 2110 3030 3165 3798 4545 6330 6899 9090 9495 13798 18990 20697 21311 34495 41394 42622 62091 63933 68990 103485 106555 124182 127866 191799 206970 213110 310455 319665 383598 620910 639330 696799 958995 1393598 1455689 1917990 2090397 2911378 3483995 4180794 4367067 6271191 6967990 7278445 8734134 10451985 12542382 13101201 14556890 20903970 21835335 26202402 31355955 43670670 62711910 65506005 131012010 147024589 294049178 441073767 735122945 882147534 1323221301 1470245890 2205368835 2646442602 4410737670 6616106505 13232213010