Search a number
-
+
320233112430 = 235711138629053
BaseRepresentation
bin1001010100011110110…
…00011000001101101110
31010121120121002122010120
410222033120120031232
520221314134044210
6403040230545410
732064450354330
oct4521730301556
91117517078116
10320233112430
111138a0275120
1252091508266
13242758b539a
14116dc389450
1584e3b25270
hex4a8f61836e

320233112430 has 64 divisors (see below), whose sum is σ = 958204021248. Its totient is φ = 66541944960.

The previous prime is 320233112387. The next prime is 320233112471. The reversal of 320233112430 is 34211332023.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320233112430.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 69312217 + ... + 69316836.

It is an arithmetic number, because the mean of its divisors is an integer number (14971937832).

Almost surely, 2320233112430 is an apocalyptic number.

320233112430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320233112430 is an abundant number, since it is smaller than the sum of its proper divisors (637970908818).

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

320233112430 is a wasteful number, since it uses less digits than its factorization.

320233112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138629081.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 320233112430 its reverse (34211332023), we get a palindrome (354444444453).

The spelling of 320233112430 in words is "three hundred twenty billion, two hundred thirty-three million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 138629053 277258106 415887159 693145265 831774318 970403371 1386290530 1524919583 1940806742 2079435795 2911210113 3049839166 4158871590 4574758749 4852016855 5822420226 7624597915 9149517498 9704033710 10674437081 14556050565 15249195830 21348874162 22873793745 29112101130 32023311243 45747587490 53372185405 64046622486 106744370810 160116556215 320233112430