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321420310431020 = 225298111696340283
BaseRepresentation
bin100100100010101000111111…
…1011011010100010100101100
31120011001111000002001200112122
41021011101333123110110230
5314112122243432243040
63055334241400052112
7124462564633131443
oct11105217733242454
91504044002050478
10321420310431020
1193461651912229
12300714ab764038
1310a46a610aac28
145952b7c8b1d5a
152725d2e9901b5
hex124547f6d452c

321420310431020 has 96 divisors (see below), whose sum is σ = 699177470181120. Its totient is φ = 123971290248960.

The previous prime is 321420310430993. The next prime is 321420310431091. The reversal of 321420310431020 is 20134013024123.

It is a super-2 number, since 2×3214203104310202 (a number of 30 digits) contains 22 as substring.

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, 7979035799 + ... + 7979076081.

It is an arithmetic number, because the mean of its divisors is an integer number (7283098647720).

Almost surely, 2321420310431020 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 321420310431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349588735090560).

321420310431020 is an abundant number, since it is smaller than the sum of its proper divisors (377757159750100).

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

321420310431020 is a wasteful number, since it uses less digits than its factorization.

321420310431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58095 (or 58093 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 321420310431020 its reverse (20134013024123), we get a palindrome (341554323455143).

The spelling of 321420310431020 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred ten million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 811 1622 3244 4055 8110 16220 16963 23519 33926 40283 47038 67852 80566 84815 94076 117595 161132 169630 201415 235190 339260 402830 470380 491927 805660 983854 1168207 1967708 2336414 2459635 4672828 4919270 5841035 9838540 11682070 13756993 23364140 27513986 32669513 55027972 65339026 68784965 130678052 137569930 163347565 275139860 326695130 398952797 653390260 683320529 797905594 947415877 1366641058 1595811188 1894831754 1994763985 2733282116 3416602645 3789663508 3989527970 4737079385 6833205290 7979055940 9474158770 13666410580 18948317540 19816295341 39632590682 79265181364 99081476705 198162953410 396325906820 554172949019 1108345898038 2216691796076 2770864745095 5541729490190 11083458980380 16071015521551 32142031043102 64284062086204 80355077607755 160710155215510 321420310431020