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112233231312 = 243371013131999
BaseRepresentation
bin110100010000110011…
…1110011001111010000
3101201200201121212210220
41220201213303033100
53314323201400222
6123320443353040
711052146503626
oct1504147631720
9351621555726
10112233231312
1143663807924
1219902822780
13a778095257
145609a31516
152dbd1cab5c
hex1a219f33d0

112233231312 has 160 divisors (see below), whose sum is σ = 301831872000. Its totient is φ = 35906457600.

The previous prime is 112233231293. The next prime is 112233231377. The reversal of 112233231312 is 213132332211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56143689 + ... + 56145687.

It is an arithmetic number, because the mean of its divisors is an integer number (1886449200).

Almost surely, 2112233231312 is an apocalyptic number.

112233231312 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 112233231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150915936000).

112233231312 is an abundant number, since it is smaller than the sum of its proper divisors (189598640688).

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

112233231312 is a wasteful number, since it uses less digits than its factorization.

112233231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 112233231312 its reverse (213132332211), we get a palindrome (325365563523).

The spelling of 112233231312 in words is "one hundred twelve billion, two hundred thirty-three million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 313 404 444 592 606 626 808 888 939 1212 1252 1616 1776 1878 1999 2424 2504 3737 3756 3998 4848 5008 5997 7474 7512 7996 11211 11581 11994 14948 15024 15992 22422 23162 23988 29896 31613 31984 34743 44844 46324 47976 59792 63226 69486 73963 89688 92648 94839 95952 126452 138972 147926 179376 185296 189678 201899 221889 252904 277944 295852 379356 403798 443778 505808 555888 591704 605697 625687 758712 807596 887556 1169681 1183408 1211394 1251374 1517424 1615192 1775112 1877061 2339362 2422788 2502748 3230384 3509043 3550224 3754122 4678724 4845576 5005496 7018086 7470263 7508244 9357448 9691152 10010992 14036172 14940526 15016488 18714896 22410789 23150419 28072344 29881052 30032976 44821578 46300838 56144688 59762104 63194387 69451257 89643156 92601676 119524208 126388774 138902514 179286312 185203352 189583161 252777548 277805028 358572624 370406704 379166322 505555096 555610056 758332644 1011110192 1111220112 1516665288 2338192319 3033330576 4676384638 7014576957 9352769276 14029153914 18705538552 28058307828 37411077104 56116615656 112233231312