Search a number
-
+
12100202101312 = 2613103141199147
BaseRepresentation
bin1011000000010100110000…
…1111110111101001000000
31120211202201220000020220221
42300011030033313221000
53041222203214220222
641422431152512424
72356132200556453
oct260051417675100
946752656006827
1012100202101312
1139457376a8686
12143512524b714
1369a076040bb0
142db91d80b49a
1515eb49c7c0c7
hexb014c3f7a40

12100202101312 has 56 divisors (see below), whose sum is σ = 26109416854976. Its totient is φ = 5530488150528.

The previous prime is 12100202101307. The next prime is 12100202101319. The reversal of 12100202101312 is 21310120200121.

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

It is not an unprimeable number, because it can be changed into a prime (12100202101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70513878 + ... + 70685269.

It is an arithmetic number, because the mean of its divisors is an integer number (466239586696).

Almost surely, 212100202101312 is an apocalyptic number.

It is an amenable number.

12100202101312 is an abundant number, since it is smaller than the sum of its proper divisors (14009214753664).

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

12100202101312 is a wasteful number, since it uses less digits than its factorization.

12100202101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141199275 (or 141199265 counting only the distinct ones).

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

Adding to 12100202101312 its reverse (21310120200121), we get a palindrome (33410322301433).

The spelling of 12100202101312 in words is "twelve trillion, one hundred billion, two hundred two million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 1339 1648 2678 3296 5356 6592 10712 21424 42848 85696 141199147 282398294 564796588 1129593176 1835588911 2259186352 3671177822 4518372704 7342355644 9036745408 14543512141 14684711288 29087024282 29369422576 58174048564 58738845152 116348097128 117477690304 189065657833 232696194256 378131315666 465392388512 756262631332 930784777024 1512525262664 3025050525328 6050101050656 12100202101312