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320021434124 = 2272127118710831
BaseRepresentation
bin1001010100000101100…
…00111000111100001100
31010121000211210021002022
410222002300320330030
520220400441342444
6403003225545312
732056300210400
oct4520260707414
91117024707068
10320021434124
111137a1836077
1252032645238
1324240a9c652
14116bc207100
1584d02609ee
hex4a82c38f0c

320021434124 has 72 divisors (see below), whose sum is σ = 657215741952. Its totient is φ = 135944917920.

The previous prime is 320021434123. The next prime is 320021434129. The reversal of 320021434124 is 421434120023.

It is a junction number, because it is equal to n+sod(n) for n = 320021434093 and 320021434102.

It is not an unprimeable number, because it can be changed into a prime (320021434123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29541389 + ... + 29552219.

It is an arithmetic number, because the mean of its divisors is an integer number (9127996416).

Almost surely, 2320021434124 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 320021434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328607870976).

320021434124 is an abundant number, since it is smaller than the sum of its proper divisors (337194307828).

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

320021434124 is a wasteful number, since it uses less digits than its factorization.

320021434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 320021434124 its reverse (421434120023), we get a palindrome (741455554147).

The spelling of 320021434124 in words is "three hundred twenty billion, twenty-one million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1187 1778 2374 3556 4748 6223 8309 10831 12446 16618 21662 24892 33236 43324 58163 75817 116326 150749 151634 232652 301498 303268 530719 602996 1055243 1061438 1375537 2110486 2122876 2751074 4220972 5502148 7386701 9628759 12856397 14773402 19257518 25712794 29546804 38515036 51425588 67401313 89994779 134802626 179989558 269605252 359979116 629963453 1259926906 1632762419 2519853812 3265524838 6531049676 11429336933 22858673866 45717347732 80005358531 160010717062 320021434124