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321434432231 = 112232947101839
BaseRepresentation
bin1001010110101101111…
…11000011001011100111
31010201200022121000002112
410223112333003023213
520231244203312411
6403355343231235
732136305410403
oct4532677031347
91121608530075
10321434432231
111143573a2500
12523678a851b
132440774c4c3
14117b3b40103
158564321b8b
hex4ad6fc32e7

321434432231 has 96 divisors (see below), whose sum is σ = 393826406400. Its totient is φ = 261201248000.

The previous prime is 321434432203. The next prime is 321434432269. The reversal of 321434432231 is 132234434123.

It is a de Polignac number, because none of the positive numbers 2k-321434432231 is a prime.

It is a super-2 number, since 2×3214344322312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321434402231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383115710 + ... + 383116548.

It is an arithmetic number, because the mean of its divisors is an integer number (4102358400).

Almost surely, 2321434432231 is an apocalyptic number.

321434432231 is a deficient number, since it is larger than the sum of its proper divisors (72391974169).

321434432231 is a wasteful number, since it uses less digits than its factorization.

321434432231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 321434432231 its reverse (132234434123), we get a palindrome (453668866354).

The spelling of 321434432231 in words is "three hundred twenty-one billion, four hundred thirty-four million, four hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 23 29 47 101 121 253 319 517 667 839 1081 1111 1363 2323 2783 2929 3509 4747 5687 7337 9229 11891 12221 14993 19297 24331 25553 31349 32219 39433 52217 67367 80707 84739 101519 109181 130801 137663 164923 212267 267641 281083 344839 354409 433763 559613 574387 741037 906959 932129 1143557 1200991 1514293 1948997 2334937 2457431 2944051 3166249 3793229 3982733 4771393 6155743 8151407 9976549 10253419 12579127 13210901 16657223 21438967 26301811 27031741 34828739 43810063 56520913 67713173 91602859 109742039 115499257 138370397 235828637 289319921 297349151 383116129 481910693 621730043 1007631449 1270491827 2656482911 3182519131 6839030473 11083945939 13975410097 29221312021 321434432231