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1233400023232 = 261361214111351
BaseRepresentation
bin10001111100101100010…
…111101100100011000000
311100220121202202002101221
4101330230113230203000
5130202000401220412
62342341031004424
7155052542134036
oct21745427544300
94326552662357
101233400023232
1143609a181983
1217b05b209714
138c4031b3370
14439a8348556
152213c073b07
hex11f2c5ec8c0

1233400023232 has 112 divisors (see below), whose sum is σ = 2680496812224. Its totient is φ = 559618560000.

The previous prime is 1233400023199. The next prime is 1233400023259. The reversal of 1233400023232 is 2323200043321.

It is a junction number, because it is equal to n+sod(n) for n = 1233400023197 and 1233400023206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108654357 + ... + 108665707.

It is an arithmetic number, because the mean of its divisors is an integer number (23933007252).

Almost surely, 21233400023232 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 1233400023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340248406112).

1233400023232 is an abundant number, since it is smaller than the sum of its proper divisors (1447096788992).

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

1233400023232 is a wasteful number, since it uses less digits than its factorization.

1233400023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 1233400023232 its reverse (2323200043321), we get a palindrome (3556600066553).

The spelling of 1233400023232 in words is "one trillion, two hundred thirty-three billion, four hundred million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 976 1586 1952 2141 3172 3904 4282 6344 8564 11351 12688 17128 22702 25376 27833 34256 45404 50752 55666 68512 90808 111332 130601 137024 147563 181616 222664 261202 295126 363232 445328 522404 590252 692411 726464 890656 1044808 1180504 1384822 1697813 1781312 2089616 2361008 2769644 3395626 4179232 4722016 5539288 6791252 8358464 9001343 9444032 11078576 13582504 18002686 22157152 24302491 27165008 36005372 44314304 48604982 54330016 72010744 97209964 108660032 144021488 194419928 288042976 315932383 388839856 576085952 631864766 777679712 1263729532 1482451951 1555359424 2527459064 2964903902 5054918128 5929807804 10109836256 11859615608 19271875363 20219672512 23719231216 38543750726 47438462432 77087501452 94876924864 154175002904 308350005808 616700011616 1233400023232