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13321120212 = 2232372893037
BaseRepresentation
bin11000110100000000…
…00010100111010100
31021101101001000120200
430122000002213110
5204240201321322
610041501500500
7651052440111
oct143200024724
937341030520
1013321120212
115716474864
1226b9271730
131343a85a6a
14905279908
1552e7338ac
hex31a0029d4

13321120212 has 108 divisors (see below), whose sum is σ = 35007876540. Its totient is φ = 4270413312.

The previous prime is 13321120201. The next prime is 13321120231. The reversal of 13321120212 is 21202112331.

13321120212 is a `hidden beast` number, since 1 + 332 + 1 + 120 + 212 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2850919236 + 10470200976 = 53394^2 + 102324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4384758 + ... + 4387794.

It is an arithmetic number, because the mean of its divisors is an integer number (324147005).

Almost surely, 213321120212 is an apocalyptic number.

13321120212 is a gapful number since it is divisible by the number (12) 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 13321120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503938270).

13321120212 is an abundant number, since it is smaller than the sum of its proper divisors (21686756328).

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

13321120212 is a wasteful number, since it uses less digits than its factorization.

13321120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13321120212 its reverse (21202112331), we get a palindrome (34523232543).

It can be divided in two parts, 1332 and 1120212, that multiplied together give a square (1492122384 = 386282).

The spelling of 13321120212 in words is "thirteen billion, three hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1369 1602 2738 3037 3204 3293 4107 5476 6074 6586 8214 9111 9879 12148 12321 13172 16428 18222 19758 24642 27333 29637 36444 39516 49284 54666 59274 109332 112369 118548 121841 224738 243682 270293 337107 365523 449476 487364 540586 674214 731046 810879 1011321 1081172 1096569 1348428 1462092 1621758 2022642 2193138 2432637 3243516 4045284 4157653 4386276 4865274 8315306 9730548 10000841 12472959 16630612 20001682 24945918 30002523 37418877 40003364 49891836 60005046 74837754 90007569 120010092 149675508 180015138 360030276 370031117 740062234 1110093351 1480124468 2220186702 3330280053 4440373404 6660560106 13321120212