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2332230300312 = 23311101154956467
BaseRepresentation
bin100001111100000011110…
…000100011001010011000
322020221220010202202221120
4201330003300203022120
5301202401424102222
64543224541205240
7330332561314503
oct41740360431230
98227803682846
102332230300312
1181a103226810
12318003260820
1313bc0b8382a3
1480c4832413a
15409eeeba15c
hex21f03c23298

2332230300312 has 128 divisors (see below), whose sum is σ = 6427865376000. Its totient is φ = 699274944000.

The previous prime is 2332230300311. The next prime is 2332230300313. The reversal of 2332230300312 is 2130030322332.

It is an interprime number because it is at equal distance from previous prime (2332230300311) and next prime (2332230300313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332230300311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41274303 + ... + 41330769.

It is an arithmetic number, because the mean of its divisors is an integer number (50217698250).

Almost surely, 22332230300312 is an apocalyptic number.

2332230300312 is a gapful number since it is divisible by the number (22) 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 2332230300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213932688000).

2332230300312 is an abundant number, since it is smaller than the sum of its proper divisors (4095635075688).

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

2332230300312 is a wasteful number, since it uses less digits than its factorization.

2332230300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58137 (or 58133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2332230300312 its reverse (2130030322332), we get a palindrome (4462260622644).

The spelling of 2332230300312 in words is "two trillion, three hundred thirty-two billion, two hundred thirty million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 1549 2222 2424 3098 3333 4444 4647 6196 6666 8888 9294 12392 13332 17039 18588 26664 34078 37176 51117 56467 68156 102234 112934 136312 156449 169401 204468 225868 312898 338802 408936 451736 469347 621137 625796 677604 938694 1242274 1251592 1355208 1720939 1863411 1877388 2484548 3441878 3726822 3754776 4969096 5162817 5703167 6883756 7453644 10325634 11406334 13767512 14907288 17109501 20651268 22812668 34219002 41302536 45625336 62734837 68438004 87467383 125469674 136876008 174934766 188204511 250939348 262402149 349869532 376409022 501878696 524804298 699739064 752818044 962141213 1049608596 1505636088 1924282426 2099217192 2886423639 3848564852 5772847278 7697129704 8834205683 11545694556 17668411366 23091389112 26502617049 35336822732 53005234098 70673645464 97176262513 106010468196 194352525026 212020936392 291528787539 388705050052 583057575078 777410100104 1166115150156 2332230300312