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321120140 = 2251117194519
BaseRepresentation
bin10011001000111…
…110011110001100
3211101020121000112
4103020332132030
51124201321030
651510415152
710646322215
oct2310763614
9741217015
10321120140
1115529a350
128b6614b8
13516b4023
143091040c
151d2d1a95
hex1323e78c

321120140 has 96 divisors (see below), whose sum is σ = 820108800. Its totient is φ = 104094720.

The previous prime is 321120127. The next prime is 321120187. The reversal of 321120140 is 41021123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68801 + ... + 73319.

It is an arithmetic number, because the mean of its divisors is an integer number (8542800).

Almost surely, 2321120140 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 321120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410054400).

321120140 is an abundant number, since it is smaller than the sum of its proper divisors (498988660).

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

321120140 is a wasteful number, since it uses less digits than its factorization.

321120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 321120140 is about 17919.8253339702. The cubic root of 321120140 is about 684.7875377814.

Adding to 321120140 its reverse (41021123), we get a palindrome (362141263).

The spelling of 321120140 in words is "three hundred twenty-one million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 4519 6460 7106 9038 14212 17765 18076 22595 35530 45190 49709 71060 76823 85861 90380 99418 153646 171722 198836 248545 307292 343444 384115 429305 497090 768230 845053 858610 944471 994180 1459637 1536460 1690106 1717220 1888942 2919274 3380212 3777884 4225265 4722355 5838548 7298185 8450530 9444710 14596370 16056007 16901060 18889420 29192740 32112014 64224028 80280035 160560070 321120140