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4323101312 = 271937107449
BaseRepresentation
bin1000000011010110…
…10100101010000000
3102011021200022010102
410001223110222000
532323203220222
61552551021532
7212062516625
oct40153245200
912137608112
104323101312
111919307002
12a0796a8a8
1353b84a41a
142d021c34c
151a47e8d92
hex101ad4a80

4323101312 has 128 divisors (see below), whose sum is σ = 9418680000. Its totient is φ = 1969422336.

The previous prime is 4323101291. The next prime is 4323101323. The reversal of 4323101312 is 2131013234.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×43231013122 = 37378409907632242688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9628064 + ... + 9628512.

Almost surely, 24323101312 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 4323101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709340000).

4323101312 is an abundant number, since it is smaller than the sum of its proper divisors (5095578688).

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

4323101312 is a wasteful number, since it uses less digits than its factorization.

4323101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4323101312 is about 65750.2951476265. The cubic root of 4323101312 is about 1629.0402108020.

Adding to 4323101312 its reverse (2131013234), we get a palindrome (6454114546).

The spelling of 4323101312 in words is "four billion, three hundred twenty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 107 128 148 152 214 296 304 428 449 592 608 703 856 898 1184 1216 1406 1712 1796 2033 2368 2432 2812 3424 3592 3959 4066 4736 5624 6848 7184 7918 8132 8531 11248 13696 14368 15836 16264 16613 17062 22496 28736 31672 32528 33226 34124 44992 48043 57472 63344 65056 66452 68248 75221 89984 96086 126688 130112 132904 136496 150442 192172 253376 260224 265808 272992 300884 315647 384344 506752 531616 545984 601768 631294 768688 912817 1063232 1091968 1203536 1262588 1537376 1777591 1825634 2126464 2407072 2525176 3074752 3555182 3651268 4814144 5050352 6149504 7110364 7302536 9628288 10100704 14220728 14605072 20201408 28441456 29210144 33774229 40402816 56882912 58420288 67548458 113765824 116840576 135096916 227531648 270193832 540387664 1080775328 2161550656 4323101312