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320120313032 = 231319307527701
BaseRepresentation
bin1001010100010001010…
…10000101010011001000
31010121021201211211110002
410222020222011103020
520221101300004112
6403021121142132
732061610523162
oct4521052052310
91117251754402
10320120313032
11113842631283
125205b78a948
132425840ca90
14116cb3c5932
1584d8c931c2
hex4a88a854c8

320120313032 has 64 divisors (see below), whose sum is σ = 682635307200. Its totient is φ = 139515436800.

The previous prime is 320120312977. The next prime is 320120313047. The reversal of 320120313032 is 230313021023.

It is a junction number, because it is equal to n+sod(n) for n = 320120312995 and 320120313013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342782 + ... + 870482.

It is an arithmetic number, because the mean of its divisors is an integer number (10666176675).

Almost surely, 2320120313032 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 320120313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341317653600).

320120313032 is an abundant number, since it is smaller than the sum of its proper divisors (362514994168).

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

320120313032 is a wasteful number, since it uses less digits than its factorization.

320120313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528046 (or 528042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 320120313032 its reverse (230313021023), we get a palindrome (550433334055).

The spelling of 320120313032 in words is "three hundred twenty billion, one hundred twenty million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 307 494 614 988 1228 1976 2456 3991 5833 7982 11666 15964 23332 31928 46664 75829 151658 303316 527701 606632 1055402 2110804 4221608 6860113 10026319 13720226 20052638 27440452 40105276 54880904 80210552 130342147 162004207 260684294 324008414 521368588 648016828 1042737176 1296033656 2106054691 3078079933 4212109382 6156159866 8424218764 12312319732 16848437528 24624639464 40015039129 80030078258 160060156516 320120313032