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11023220312 = 2313314189937
BaseRepresentation
bin10100100010000100…
…01111111001011000
31001110020010121111222
422101002033321120
5140033421022222
65021453511212
7540110553356
oct122102177130
931406117458
1011023220312
114747358635
1221777a2508
131068997790
14767dd67d6
15447b29542
hex29108fe58

11023220312 has 128 divisors (see below), whose sum is σ = 23826700800. Its totient is φ = 4744396800.

The previous prime is 11023220311. The next prime is 11023220321. The reversal of 11023220312 is 21302232011.

It is a super-2 number, since 2×110232203122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023220311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11763908 + ... + 11764844.

It is an arithmetic number, because the mean of its divisors is an integer number (186146100).

Almost surely, 211023220312 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 11023220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913350400).

11023220312 is an abundant number, since it is smaller than the sum of its proper divisors (12803480488).

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

11023220312 is a wasteful number, since it uses less digits than its factorization.

11023220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11023220312 its reverse (21302232011), we get a palindrome (32325452323).

The spelling of 11023220312 in words is "eleven billion, twenty-three million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 41 52 62 82 89 104 124 164 178 248 328 356 403 533 712 806 937 1066 1157 1271 1612 1874 2132 2314 2542 2759 3224 3649 3748 4264 4628 5084 5518 7298 7496 9256 10168 11036 12181 14596 16523 22072 24362 29047 29192 33046 35867 38417 47437 48724 58094 66092 71734 76834 83393 94874 97448 113119 116188 132184 143468 153668 166786 189748 226238 232376 286936 307336 333572 377611 379496 452476 499421 667144 755222 904952 998842 1084109 1190927 1470547 1510444 1997684 2168218 2381854 2585183 2941094 3020888 3419113 3995368 4336436 4763708 5170366 5882188 6838226 8672872 9527416 10340732 11764376 13676452 15482051 20681464 27352904 30964102 33607379 44448469 61928204 67214758 88896938 105992503 123856408 134429516 177793876 211985006 268859032 355587752 423970012 847940024 1377902539 2755805078 5511610156 11023220312