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321021133420 = 2251312777312577
BaseRepresentation
bin1001010101111100101…
…10011100001001101100
31010200121111220020201011
410222332112130021230
520224422402232140
6403250340555004
732123126416531
oct4527626341154
91120544806634
10321021133420
11114165073a39
12522713b2a64
132436cc329b0
1411774cb6d88
15853cdd2cea
hex4abe59c26c

321021133420 has 96 divisors (see below), whose sum is σ = 732723038208. Its totient is φ = 117436096512.

The previous prime is 321021133357. The next prime is 321021133439. The reversal of 321021133420 is 24331120123.

It is a super-2 number, since 2×3210211334202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321021133391 and 321021133400.

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, 25518172 + ... + 25530748.

It is an arithmetic number, because the mean of its divisors is an integer number (7632531648).

Almost surely, 2321021133420 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 321021133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366361519104).

321021133420 is an abundant number, since it is smaller than the sum of its proper divisors (411701904788).

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

321021133420 is a wasteful number, since it uses less digits than its factorization.

321021133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13499 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 321021133420 its reverse (24331120123), we get a palindrome (345352253543).

The spelling of 321021133420 in words is "three hundred twenty-one billion, twenty-one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 773 1270 1546 1651 2540 3092 3302 3865 6604 7730 8255 10049 12577 15460 16510 20098 25154 33020 40196 50245 50308 62885 98171 100490 125770 163501 196342 200980 251540 327002 392684 490855 654004 817505 981710 1276223 1597279 1635010 1963420 2552446 3194558 3270020 5104892 6381115 6389116 7986395 9722021 12762230 15972790 19444042 20764627 25524460 31945580 38888084 41529254 48610105 83058508 97220210 103823135 126386273 194440420 207646270 252772546 415292540 505545092 631931365 1234696667 1263862730 2469393334 2527725460 4938786668 6173483335 12346966670 16051056671 24693933340 32102113342 64204226684 80255283355 160510566710 321021133420