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320203312103031 = 3783313821971411
BaseRepresentation
bin100100011001110010010010…
…0101011000111111001110111
31112222202010201101000001012220
41020303210210223013321313
5313432202340344244111
63053003212034213423
7124305632401050030
oct11063444453077167
91488663641001186
10320203312103031
1193032509aa9795
122bab5669424273
1310989072c66ba6
14590dccc9c1a87
15270435280ce06
hex1233924ac7e77

320203312103031 has 64 divisors (see below), whose sum is σ = 495452388372480. Its totient is φ = 180166840439040.

The previous prime is 320203312103011. The next prime is 320203312103041. The reversal of 320203312103031 is 130301213302023.

It is not a de Polignac number, because 320203312103031 - 215 = 320203312070263 is a prime.

It is a super-2 number, since 2×3202033121030312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320203312102992 and 320203312103010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320203312103011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4483913716 + ... + 4483985126.

It is an arithmetic number, because the mean of its divisors is an integer number (7741443568320).

Almost surely, 2320203312103031 is an apocalyptic number.

320203312103031 is a deficient number, since it is larger than the sum of its proper divisors (175249076269449).

320203312103031 is a wasteful number, since it uses less digits than its factorization.

320203312103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80036.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 320203312103031 its reverse (130301213302023), we get a palindrome (450504525405054).

The spelling of 320203312103031 in words is "three hundred twenty trillion, two hundred three billion, three hundred twelve million, one hundred three thousand, thirty-one".

Divisors: 1 3 7 21 83 249 313 581 939 1743 2191 6573 8219 24657 25979 57533 71411 77937 172599 181853 214233 499877 545559 682177 1499631 2046531 2572547 4775239 5927113 7717641 14325717 17781339 18007829 22351643 41489791 54023487 67054929 124469373 156461501 213521401 469384503 586927009 640564203 1494649807 1760781027 1855186369 4108489063 4483949421 5565559107 12325467189 12986304583 38958913749 48714941747 146144825241 183708153817 341004592229 551124461451 1023013776687 1285957076719 3857871230157 15247776766811 45743330300433 106734437367677 320203312103031