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321340321143100 = 225276171105993443
BaseRepresentation
bin100100100010000011101111…
…1101100011001100100111100
31120010202211112111002211202101
41021010013133230121210330
5314104314434203034400
63055233412224034444
7124454033501323420
oct11104073754314474
91503684474084671
10321340321143100
1193430734a62306
1230059aa7462a24
1310a3c354256b2c
14594cd51324b80
152723bec3da56a
hex12441dfb1993c

321340321143100 has 144 divisors (see below), whose sum is σ = 821396618251776. Its totient is φ = 106841389536000.

The previous prime is 321340321142977. The next prime is 321340321143109. The reversal of 321340321143100 is 1341123043123.

It is a super-2 number, since 2×3213403211431002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321340321143109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49965022 + ... + 56028421.

It is an arithmetic number, because the mean of its divisors is an integer number (5704143182304).

Almost surely, 2321340321143100 is an apocalyptic number.

It is an amenable number.

321340321143100 is an abundant number, since it is smaller than the sum of its proper divisors (500056297108676).

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

321340321143100 is a wasteful number, since it uses less digits than its factorization.

321340321143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105993596 (or 105993589 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 321340321143100 its reverse (1341123043123), we get a palindrome (322681444186223).

The spelling of 321340321143100 in words is "three hundred twenty-one trillion, three hundred forty billion, three hundred twenty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 71 100 122 140 142 175 244 284 305 350 355 427 497 610 700 710 854 994 1220 1420 1525 1708 1775 1988 2135 2485 3050 3550 4270 4331 4970 6100 7100 8540 8662 9940 10675 12425 17324 21350 21655 24850 30317 42700 43310 49700 60634 86620 108275 121268 151585 216550 303170 433100 606340 757925 1515850 3031700 105993443 211986886 423973772 529967215 741954101 1059934430 1483908202 2119868860 2649836075 2967816404 3709770505 5299672150 6465600023 7419541010 7525534453 10599344300 12931200046 14839082020 15051068906 18548852525 25862400092 30102137812 32328000115 37097705050 37627672265 45259200161 52678741171 64656000230 74195410100 75255344530 90518400322 105357482342 129312000460 150510689060 161640000575 181036800644 188138361325 210714964684 226296000805 263393705855 323280001150 376276722650 452592001610 459057601633 526787411710 646560002300 752553445300 905184003220 918115203266 1053574823420 1131480004025 1316968529275 1836230406532 2262960008050 2295288008165 2633937058550 3213403211431 4525920016100 4590576016330 5267874117100 6426806422862 9181152032660 11476440040825 12853612845724 16067016057155 22952880081650 32134032114310 45905760163300 64268064228620 80335080285775 160670160571550 321340321143100