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13200211220 = 2257891079901
BaseRepresentation
bin11000100101100101…
…10011110100010100
31021001221112012121212
430102302303310110
5204013223224340
610021502200552
7645053641550
oct142262636424
937057465555
1013200211220
1156641a2079
122684883158
131324a01191
148d31a4860
15523ceda65
hex312cb3d14

13200211220 has 96 divisors (see below), whose sum is σ = 32339139840. Its totient is φ = 4432665600.

The previous prime is 13200211139. The next prime is 13200211223. The reversal of 13200211220 is 2211200231.

It is a happy number.

It is a super-2 number, since 2×132002112202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13200211195 and 13200211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200211223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328270 + ... + 1338170.

It is an arithmetic number, because the mean of its divisors is an integer number (336866040).

Almost surely, 213200211220 is an apocalyptic number.

13200211220 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 13200211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169569920).

13200211220 is an abundant number, since it is smaller than the sum of its proper divisors (19138928620).

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

13200211220 is a wasteful number, since it uses less digits than its factorization.

13200211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13200211220 its reverse (2211200231), we get a palindrome (15411411451).

The spelling of 13200211220 in words is "thirteen billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 107 140 178 214 356 428 445 535 623 749 890 1070 1246 1498 1780 2140 2492 2996 3115 3745 6230 7490 9523 9901 12460 14980 19046 19802 38092 39604 47615 49505 66661 69307 95230 99010 133322 138614 190460 198020 266644 277228 333305 346535 666610 693070 881189 1059407 1333220 1386140 1762378 2118814 3524756 4237628 4405945 5297035 6168323 7415849 8811890 10594070 12336646 14831698 17623780 21188140 24673292 29663396 30841615 37079245 61683230 74158490 94287223 123366460 148316980 188574446 377148892 471436115 660010561 942872230 1320021122 1885744460 2640042244 3300052805 6600105610 13200211220