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321102553140 = 223256737397121
BaseRepresentation
bin1001010110000110011…
…01000010000000110100
31010200211012002210120100
410223003031002000310
520230104223200030
6403302410034100
732125135445025
oct4530315020064
91120735083510
10321102553140
111141a7024866
1252294718930
1324383a6c345
1411781a2cc4c
158545117360
hex4ac3342034

321102553140 has 144 divisors (see below), whose sum is σ = 988951803840. Its totient is φ = 84314926080.

The previous prime is 321102553127. The next prime is 321102553159. The reversal of 321102553140 is 41355201123.

321102553140 is a `hidden beast` number, since 3 + 2 + 1 + 102 + 553 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45088780 + ... + 45095900.

It is an arithmetic number, because the mean of its divisors is an integer number (6867720860).

Almost surely, 2321102553140 is an apocalyptic number.

321102553140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321102553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494475901920).

321102553140 is an abundant number, since it is smaller than the sum of its proper divisors (667849250700).

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

321102553140 is a wasteful number, since it uses less digits than its factorization.

321102553140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 321102553140 its reverse (41355201123), we get a palindrome (362457754263).

The spelling of 321102553140 in words is "three hundred twenty-one billion, one hundred two million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3739 4020 6030 7121 7478 11217 12060 14242 14956 18695 21363 22434 28484 33651 35605 37390 42726 44868 56085 64089 67302 71210 74780 85452 106815 112170 128178 134604 142420 168255 213630 224340 250513 256356 320445 336510 427260 477107 501026 640890 673020 751539 954214 1002052 1252565 1281780 1431321 1503078 1908428 2254617 2385535 2505130 2862642 3006156 3757695 4293963 4509234 4771070 5010260 5725284 7156605 7515390 8587926 9018468 9542140 11273085 14313210 15030780 17175852 21469815 22546170 26625419 28626420 42939630 45092340 53250838 79876257 85879260 106501676 133127095 159752514 239628771 266254190 319505028 399381285 479257542 532508380 798762570 958515084 1198143855 1597525140 1783903073 2396287710 3567806146 4792575420 5351709219 7135612292 8919515365 10703418438 16055127657 17839030730 21406836876 26758546095 32110255314 35678061460 53517092190 64220510628 80275638285 107034184380 160551276570 321102553140