Search a number
-
+
210110112012112 = 241335312292328397
BaseRepresentation
bin101111110001100000010010…
…100101110001011101010000
31000112221022220222001002111121
4233301200102211301131100
5210014421002133341422
62022511130345052024
762153645305434364
oct5761402245613520
91015838828032447
10210110112012112
1160a4721a742874
121b6948b7487014
1390313b5ba2450
1439c5552b732a4
1519456a5d538c7
hexbf1812971750

210110112012112 has 80 divisors (see below), whose sum is σ = 440002678807440. Its totient is φ = 96620461572096.

The previous prime is 210110112012109. The next prime is 210110112012139. The reversal of 210110112012112 is 211210211011012.

It can be written as a sum of positive squares in 8 ways, for example, as 12573945792576 + 197536166219536 = 3545976^2 + 14054756^2 .

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, 89073898 + ... + 91402294.

It is an arithmetic number, because the mean of its divisors is an integer number (5500033485093).

Almost surely, 2210110112012112 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 210110112012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220001339403720).

210110112012112 is an abundant number, since it is smaller than the sum of its proper divisors (229892566795328).

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

210110112012112 is a wasteful number, since it uses less digits than its factorization.

210110112012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330000 (or 2329994 counting only the distinct ones).

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

Adding to 210110112012112 its reverse (211210211011012), we get a palindrome (421320323023124).

The spelling of 210110112012112 in words is "two hundred ten trillion, one hundred ten billion, one hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1229 1412 2458 2824 4589 4916 5648 9178 9832 15977 18356 19664 31954 36712 63908 73424 127816 255632 433837 867674 1735348 2328397 3470696 4656794 5639881 6941392 9313588 11279762 18627176 22559524 30269161 37254352 45119048 60538322 90238096 121076644 242153288 484306576 821924141 1643848282 2861599913 3287696564 5723199826 6575393128 10685013833 11446399652 13150786256 21370027666 22892799304 37200798869 42740055332 45785598608 74401597738 85480110664 148803195476 170960221328 297606390952 595212781904 1010144769289 2020289538578 4040579077156 8081158154312 13131882000757 16162316308624 26263764001514 52527528003028 105055056006056 210110112012112