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11012310578112 = 2631972771051069
BaseRepresentation
bin1010000001000000000011…
…0111000011001111000000
31102222202200212011211201220
42200100000313003033000
52420411203001444422
635230552521555040
72214420215314524
oct240200067031700
942882625154656
1011012310578112
11356632725a508
12129a314645a80
1361b5c1a1b3bc
142a0dda51bd84
151416c7327e5c
hexa0400dc33c0

11012310578112 has 112 divisors (see below), whose sum is σ = 29390389316640. Its totient is φ = 3638948769792.

The previous prime is 11012310578107. The next prime is 11012310578117. The reversal of 11012310578112 is 21187501321011.

It is an interprime number because it is at equal distance from previous prime (11012310578107) and next prime (11012310578117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012310578117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9951714 + ... + 11002782.

Almost surely, 211012310578112 is an apocalyptic number.

11012310578112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012310578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695194658320).

11012310578112 is an abundant number, since it is smaller than the sum of its proper divisors (18378078738528).

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

11012310578112 is a wasteful number, since it uses less digits than its factorization.

11012310578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051558 (or 1051548 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 33.

Adding to 11012310578112 its reverse (21187501321011), we get a palindrome (32199811899123).

The spelling of 11012310578112 in words is "eleven trillion, twelve billion, three hundred ten million, five hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 277 394 554 591 788 831 1108 1182 1576 1662 2216 2364 3152 3324 4432 4728 6304 6648 8864 9456 12608 13296 17728 18912 26592 37824 53184 54569 109138 163707 218276 327414 436552 654828 873104 1051069 1309656 1746208 2102138 2619312 3153207 3492416 4204276 5238624 6306414 8408552 10477248 12612828 16817104 25225656 33634208 50451312 67268416 100902624 201805248 207060593 291146113 414121186 582292226 621181779 828242372 873438339 1164584452 1242363558 1656484744 1746876678 2329168904 2484727116 3312969488 3493753356 4658337808 4969454232 6625938976 6987506712 9316675616 9938908464 13251877952 13975013424 18633351232 19877816928 27950026848 39755633856 55900053696 57355784261 114711568522 172067352783 229423137044 344134705566 458846274088 688269411132 917692548176 1376538822264 1835385096352 2753077644528 3670770192704 5506155289056 11012310578112