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321020112 = 243717431307
BaseRepresentation
bin10011001000100…
…110000011010000
3211101001111210210
4103020212003100
51124140120422
651504324120
710645424460
oct2310460320
9741044723
10321020112
11155231186
128b613640
135167a63a
14308c5ba0
151d2b210c
hex132260d0

321020112 has 160 divisors (see below), whose sum is σ = 1027648512. Its totient is φ = 84252672.

The previous prime is 321020101. The next prime is 321020137. The reversal of 321020112 is 211020123.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 244963 + ... + 246269.

Almost surely, 2321020112 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 321020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513824256).

321020112 is an abundant number, since it is smaller than the sum of its proper divisors (706628400).

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

321020112 is a wasteful number, since it uses less digits than its factorization.

321020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 321020112 is about 17917.0341295651. The cubic root of 321020112 is about 684.7164272812.

Adding to 321020112 its reverse (211020123), we get a palindrome (532040235).

The spelling of 321020112 in words is "three hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 43 48 51 56 68 84 86 102 112 119 129 136 168 172 204 238 258 272 301 336 344 357 408 476 516 602 688 714 731 816 903 952 1032 1204 1307 1428 1462 1806 1904 2064 2193 2408 2614 2856 2924 3612 3921 4386 4816 5117 5228 5712 5848 7224 7842 8772 9149 10234 10456 11696 14448 15351 15684 17544 18298 20468 20912 22219 27447 30702 31368 35088 36596 40936 44438 54894 56201 61404 62736 66657 73192 81872 88876 109788 112402 122808 133314 146384 155533 168603 177752 219576 224804 245616 266628 311066 337206 355504 393407 439152 449608 466599 533256 622132 674412 786814 899216 933198 955417 1066512 1180221 1244264 1348824 1573628 1866396 1910834 2360442 2488528 2697648 2866251 3147256 3732792 3821668 4720884 5732502 6294512 6687919 7465584 7643336 9441768 11465004 13375838 15286672 18883536 20063757 22930008 26751676 40127514 45860016 53503352 80255028 107006704 160510056 321020112