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11312301312 = 283213377681
BaseRepresentation
bin10101000100100010…
…00000010100000000
31002012101002110002200
422202101000110000
5141131422120222
65110301513200
7550220655204
oct124221002400
932171073080
1011312301312
114885554454
122238572800
1310b3841620
14794566b04
154631cceac
hex2a2440500

11312301312 has 108 divisors (see below), whose sum is σ = 35125181364. Its totient is φ = 3480698880.

The previous prime is 11312301251. The next prime is 11312301317. The reversal of 11312301312 is 21310321311.

11312301312 is a `hidden beast` number, since 11 + 312 + 30 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2623078656 + 8689222656 = 51216^2 + 93216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312301317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158889 + ... + 218792.

Almost surely, 211312301312 is an apocalyptic number.

11312301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312301312 is an abundant number, since it is smaller than the sum of its proper divisors (23812880052).

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

11312301312 is a wasteful number, since it uses less digits than its factorization.

11312301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377716 (or 377699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312301312 its reverse (21310321311), we get a palindrome (32622622623).

The spelling of 11312301312 in words is "eleven billion, three hundred twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 377681 755362 1133043 1510724 2266086 3021448 3399129 4532172 4909853 6042896 6798258 9064344 9819706 12085792 13596516 14729559 18128688 19639412 24171584 27193032 29459118 36257376 39278824 44188677 48343168 54386064 58918236 72514752 78557648 88377354 96686336 108772128 117836472 145029504 157115296 176754708 217544256 235672944 290059008 314230592 353509416 435088512 471345888 628461184 707018832 870177024 942691776 1256922368 1414037664 1885383552 2828075328 3770767104 5656150656 11312301312