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11231221013012 = 22711213733493151
BaseRepresentation
bin1010001101101111100011…
…1100000101101000010100
31110202200202002210011011002
42203123320330011220110
52433003020034404022
635515315100202432
72236300061313020
oct243337074055024
943680662704132
1011231221013012
113640152512300
121314829239418
1363613aa79010
142ab845d01380
1514723aa44092
hexa36f8f05a14

11231221013012 has 144 divisors (see below), whose sum is σ = 26953607955456. Its totient is φ = 3983867712000.

The previous prime is 11231221012969. The next prime is 11231221013017. The reversal of 11231221013012 is 21031012213211.

It is a super-2 number, since 2×112312210130122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231221013017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468637 + ... + 4961787.

It is an arithmetic number, because the mean of its divisors is an integer number (187177833024).

Almost surely, 211231221013012 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 11231221013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476803977728).

11231221013012 is an abundant number, since it is smaller than the sum of its proper divisors (15722386942444).

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

11231221013012 is a wasteful number, since it uses less digits than its factorization.

11231221013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493270 (or 3493257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11231221013012 its reverse (21031012213211), we get a palindrome (32262233226223).

The spelling of 11231221013012 in words is "eleven trillion, two hundred thirty-one billion, two hundred twenty-one million, thirteen thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 73 77 91 121 143 146 154 182 242 286 292 308 364 484 511 572 803 847 949 1001 1022 1573 1606 1694 1898 2002 2044 3146 3212 3388 3796 4004 5621 6292 6643 8833 10439 11011 11242 13286 17666 20878 22022 22484 26572 35332 41756 44044 61831 73073 114829 123662 146146 229658 247324 292292 459316 803803 1607606 3215212 3493151 6986302 13972604 24452057 38424661 45410963 48904114 76849322 90821926 97808228 153698644 181643852 255000023 268972627 317876741 422671271 499520593 510000046 537945254 635753482 845342542 999041186 1020000092 1075890508 1271506964 1690685084 1785000161 1998082372 2805000253 2958698897 3315000299 3496644151 3570000322 5494726523 5610000506 5917397794 6630000598 6993288302 7140000644 10989453046 11220001012 11834795588 13260001196 13986576604 19635001771 21978906092 23205002093 30855002783 36465003289 38463085661 39270003542 46410004186 61710005566 72930006578 76926171322 78540007084 92820008372 123420011132 145860013156 153852342644 215985019481 255255023023 401115036179 431970038962 510510046046 802230072358 863940077924 1021020092092 1604460144716 2807805253253 5615610506506 11231221013012