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2311321122 = 2331117435323
BaseRepresentation
bin1000100111000011…
…1111011000100010
312222002011021112000
42021300333120202
514213144233442
61021203344430
7111163622355
oct21160773042
95862137460
102311321122
11a86753850
12546082116
132aab0a146
1417cd7829c
15d7daad4c
hex89c3f622

2311321122 has 128 divisors (see below), whose sum is σ = 6071915520. Its totient is φ = 643749120.

The previous prime is 2311321087. The next prime is 2311321151. The reversal of 2311321122 is 2211231132.

It is a super-3 number, since 3×23113211223 (a number of 29 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2311321095 and 2311321104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431553 + ... + 436875.

It is an arithmetic number, because the mean of its divisors is an integer number (47436840).

Almost surely, 22311321122 is an apocalyptic number.

2311321122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035957760).

2311321122 is an abundant number, since it is smaller than the sum of its proper divisors (3760594398).

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

2311321122 is a wasteful number, since it uses less digits than its factorization.

2311321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2311321122 is about 48076.2012018421. The cubic root of 2311321122 is about 1322.1683678835.

Adding to 2311321122 its reverse (2211231132), we get a palindrome (4522552254).

The spelling of 2311321122 in words is "two billion, three hundred eleven million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 43 51 54 66 86 99 102 129 153 187 198 258 297 306 374 387 459 473 561 594 731 774 918 946 1122 1161 1419 1462 1683 2193 2322 2838 3366 4257 4386 5049 5323 6579 8041 8514 10098 10646 12771 13158 15969 16082 19737 24123 25542 31938 39474 47907 48246 58553 72369 90491 95814 117106 143721 144738 175659 180982 217107 228889 271473 287442 351318 434214 457778 526977 542946 686667 814419 995401 1053954 1373334 1580931 1628838 1990802 2060001 2443257 2517779 2986203 3161862 3891113 4120002 4886514 5035558 5972406 6180003 7553337 7782226 8958609 11673339 12360006 15106674 17917218 22660011 23346678 26875827 35020017 42802243 45320022 53751654 67980033 70040034 85604486 105060051 128406729 135960066 210120102 256813458 385220187 770440374 1155660561 2311321122