Search a number
-
+
12302111112 = 23329531671997
BaseRepresentation
bin10110111010100001…
…10101000110001000
31011202100120222212220
423131100311012020
5200143320023422
65352420534040
7613600135104
oct133520650610
934670528786
1012302111112
115243248185
122473b51320
1312109214b5
14849bc0904
154c0049e5c
hex2dd435188

12302111112 has 128 divisors (see below), whose sum is σ = 32626540800. Its totient is φ = 3859401728.

The previous prime is 12302111077. The next prime is 12302111117. The reversal of 12302111112 is 21111120321.

It is a junction number, because it is equal to n+sod(n) for n = 12302111091 and 12302111100.

It is not an unprimeable number, because it can be changed into a prime (12302111117) 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, 6159298 + ... + 6161294.

It is an arithmetic number, because the mean of its divisors is an integer number (254894850).

Almost surely, 212302111112 is an apocalyptic number.

12302111112 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 12302111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313270400).

12302111112 is an abundant number, since it is smaller than the sum of its proper divisors (20324429688).

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

12302111112 is a wasteful number, since it uses less digits than its factorization.

12302111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12302111112 its reverse (21111120321), we get a palindrome (33413231433).

The spelling of 12302111112 in words is "twelve billion, three hundred two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 167 174 212 232 318 334 348 424 501 636 668 696 1002 1272 1336 1537 1997 2004 3074 3994 4008 4611 4843 5991 6148 7988 8851 9222 9686 11982 12296 14529 15976 17702 18444 19372 23964 26553 29058 35404 36888 38744 47928 53106 57913 58116 70808 105841 106212 115826 116232 173739 211682 212424 231652 256679 317523 333499 347478 423364 463304 513358 635046 666998 694956 770037 846728 1000497 1026716 1270092 1333996 1389912 1540074 2000994 2053432 2540184 2667992 3069389 3080148 4001988 6138778 6160296 8003976 9208167 9671471 12277556 17675447 18416334 19342942 24555112 29014413 35350894 36832668 38685884 53026341 58028826 70701788 73665336 77371768 106052682 116057652 141403576 212105364 232115304 424210728 512587963 1025175926 1537763889 2050351852 3075527778 4100703704 6151055556 12302111112