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13212102112 = 2511299071427
BaseRepresentation
bin11000100111000000…
…01010110111100000
31021002202220022212021
430103200022313200
5204024244231422
610023005111224
7645260005066
oct142340126740
937082808767
1013212102112
11566a983960
122688858514
131327305601
148d49bc036
15524d9bdc7
hex31380ade0

13212102112 has 96 divisors (see below), whose sum is σ = 29407432320. Its totient is φ = 5787962880.

The previous prime is 13212102097. The next prime is 13212102149. The reversal of 13212102112 is 21120121231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9257943 + ... + 9259369.

It is an arithmetic number, because the mean of its divisors is an integer number (306327420).

Almost surely, 213212102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703716160).

13212102112 is an abundant number, since it is smaller than the sum of its proper divisors (16195330208).

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

13212102112 is a wasteful number, since it uses less digits than its factorization.

13212102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13212102112 its reverse (21120121231), we get a palindrome (34332223343).

The spelling of 13212102112 in words is "thirteen billion, two hundred twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 907 928 1276 1427 1814 2552 2854 3628 5104 5708 7256 9977 10208 11416 14512 15697 19954 22832 26303 29024 31394 39908 41383 45664 52606 62788 79816 82766 105212 125576 159632 165532 210424 251152 289333 319264 331064 420848 455213 502304 578666 662128 841696 910426 1157332 1294289 1324256 1820852 2314664 2588578 3641704 4629328 5177156 7283408 9258656 10354312 14237179 14566816 20708624 28474358 37534381 41417248 56948716 75068762 113897432 150137524 227794864 300275048 412878191 455589728 600550096 825756382 1201100192 1651512764 3303025528 6606051056 13212102112