Search a number
-
+
110311311021312 = 2831131271101943
BaseRepresentation
bin11001000101001111011010…
…100000100001010100000000
3112110120122202221011020010110
4121011033122200201110000
5103424320031110140222
61030340152223231320
732143505056526562
oct3105173240412400
9473518687136113
10110311311021312
113216a845297195
12104570a2a48540
1349724095b3b8b
141d3514b395332
15cb46b4dea30c
hex6453da821500

110311311021312 has 72 divisors (see below), whose sum is σ = 296187090583104. Its totient is φ = 36445034881024.

The previous prime is 110311311021277. The next prime is 110311311021319. The reversal of 110311311021312 is 213120113113011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110311311021319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635464188 + ... + 635637755.

It is an arithmetic number, because the mean of its divisors is an integer number (4113709591432).

Almost surely, 2110311311021312 is an apocalyptic number.

110311311021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110311311021312 is an abundant number, since it is smaller than the sum of its proper divisors (185875779561792).

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

110311311021312 is a wasteful number, since it uses less digits than its factorization.

110311311021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271102075 (or 1271102061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 110311311021312 its reverse (213120113113011), we get a palindrome (323431424134323).

The spelling of 110311311021312 in words is "one hundred ten trillion, three hundred eleven billion, three hundred eleven million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 28928 43392 86784 1271101943 2542203886 3813305829 5084407772 7626611658 10168815544 15253223316 20337631088 30506446632 40675262176 61012893264 81350524352 122025786528 143634519559 162701048704 244051573056 287269039118 325402097408 430903558677 488103146112 574538078236 861807117354 976206292224 1149076156472 1723614234708 2298152312944 3447228469416 4596304625888 6894456938832 9192609251776 13788913877664 18385218503552 27577827755328 36770437007104 55155655510656 110311311021312