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1120002312 = 23311133071063
BaseRepresentation
bin100001011000001…
…1110000100001000
32220001111000100010
41002300132010020
54243210033222
6303045311520
736516601602
oct10260360410
92801430303
101120002312
11525237350
122731055a0
1314b065180
14a8a68172
15684d780c
hex42c1e108

1120002312 has 128 divisors (see below), whose sum is σ = 3303336960. Its totient is φ = 311973120.

The previous prime is 1120002311. The next prime is 1120002349. The reversal of 1120002312 is 2132000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1120002311) 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, 1053093 + ... + 1054155.

It is an arithmetic number, because the mean of its divisors is an integer number (25807320).

Almost surely, 21120002312 is an apocalyptic number.

1120002312 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 1120002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651668480).

1120002312 is an abundant number, since it is smaller than the sum of its proper divisors (2183334648).

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

1120002312 is a wasteful number, since it uses less digits than its factorization.

1120002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120002312 is about 33466.4356034520. The cubic root of 1120002312 is about 1038.4995349558.

Adding to 1120002312 its reverse (2132000211), we get a palindrome (3252002523).

The spelling of 1120002312 in words is "one billion, one hundred twenty million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 307 312 429 572 614 858 921 1063 1144 1228 1716 1842 2126 2456 3189 3377 3432 3684 3991 4252 6378 6754 7368 7982 8504 10131 11693 11973 12756 13508 13819 15964 20262 23386 23946 25512 27016 27638 31928 35079 40524 41457 43901 46772 47892 55276 70158 81048 82914 87802 93544 95784 110552 131703 140316 152009 165828 175604 263406 280632 304018 326341 331656 351208 456027 526812 608036 652682 912054 979023 1053624 1216072 1305364 1824108 1958046 2610728 3589751 3648216 3916092 4242433 7179502 7832184 8484866 10769253 12727299 14359004 16969732 21538506 25454598 28718008 33939464 43077012 46666763 50909196 86154024 93333526 101818392 140000289 186667052 280000578 373334104 560001156 1120002312