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231268019829 = 37112263401863
BaseRepresentation
bin1101011101100010100…
…1011110111001110101
3211002221110120200001220
43113120221132321311
512242114103113304
6254124300140553
722465015506450
oct3273051367165
9732843520056
10231268019829
118a09784a300
12389a3237759
1318a68302b62
14b29cac4497
156038572ad9
hex35d8a5ee75

231268019829 has 96 divisors (see below), whose sum is σ = 390252183552. Its totient is φ = 119245632000.

The previous prime is 231268019813. The next prime is 231268019833. The reversal of 231268019829 is 928910862132.

It is not a de Polignac number, because 231268019829 - 24 = 231268019813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231268019809) 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, 267981052 + ... + 267981914.

It is an arithmetic number, because the mean of its divisors is an integer number (4065126912).

Almost surely, 2231268019829 is an apocalyptic number.

It is an amenable number.

231268019829 is a deficient number, since it is larger than the sum of its proper divisors (158984163723).

231268019829 is a wasteful number, since it uses less digits than its factorization.

231268019829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 231268019829 in words is "two hundred thirty-one billion, two hundred sixty-eight million, nineteen thousand, eight hundred twenty-nine".

Divisors: 1 3 7 11 21 33 77 121 231 263 363 401 789 847 863 1203 1841 2541 2589 2807 2893 4411 5523 6041 8421 8679 9493 13233 18123 20251 28479 30877 31823 48521 60753 66451 92631 95469 104423 105463 145563 199353 222761 226969 313269 316389 339647 346063 668283 680907 730961 738241 1018941 1038189 1160093 1588783 2192883 2214723 2422441 2496659 3480279 3806693 4766349 7267323 7489977 8120651 11420079 12761023 17476613 24361953 26646851 27463249 38283069 41873623 52429839 79940553 82389747 89327161 91014569 125620869 192242743 267981483 273043707 293115361 576728229 637101983 879346083 1001160259 1911305949 3003480777 7008121813 11012762849 21024365439 33038288547 77089339943 231268019829