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321214311132 = 2231113316038317
BaseRepresentation
bin1001010110010011101…
…11010110101011011100
31010201002222101200201020
410223021313112223130
520230321330424012
6403321441244140
732130663411051
oct4531167265334
91121088350636
10321214311132
11114254117240
1252306033650
13243a0c6b930
1411792801028
15854ed40a8c
hex4ac9dd6adc

321214311132 has 96 divisors (see below), whose sum is σ = 908935931904. Its totient is φ = 86951750400.

The previous prime is 321214311097. The next prime is 321214311157. The reversal of 321214311132 is 231113412123.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2965963 + ... + 3072354.

It is an arithmetic number, because the mean of its divisors is an integer number (9468082624).

Almost surely, 2321214311132 is an apocalyptic number.

It is an amenable number.

321214311132 is an abundant number, since it is smaller than the sum of its proper divisors (587721620772).

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

321214311132 is a wasteful number, since it uses less digits than its factorization.

321214311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038379 (or 6038377 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 321214311132 its reverse (231113412123), we get a palindrome (552327723255).

The spelling of 321214311132 in words is "three hundred twenty-one billion, two hundred fourteen million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 186 286 341 372 403 429 572 682 806 858 1023 1209 1364 1612 1716 2046 2418 4092 4433 4836 8866 13299 17732 26598 53196 6038317 12076634 18114951 24153268 36229902 66421487 72459804 78498121 132842974 156996242 187187827 199264461 235494363 265685948 313992484 374375654 398528922 470988726 561563481 748751308 797057844 863479331 941977452 1123126962 1726958662 2059066097 2246253924 2433441751 2590437993 3453917324 4118132194 4866883502 5180875986 6177198291 7300325253 8236264388 9733767004 10361751972 12354396582 14600650506 24708793164 26767859261 29201301012 53535718522 80303577783 107071437044 160607155566 321214311132