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31321304300 = 2252111319115279
BaseRepresentation
bin11101001010111001…
…010010110011101100
32222211211120010010102
4131022321102303230
51003121223214200
622215552130232
72156112456656
oct351271226354
988754503112
1031321304300
1112313072560
1260a1536978
132c5204c070
141731b136d6
15c34b266d5
hex74ae52cec

31321304300 has 144 divisors (see below), whose sum is σ = 84052953600. Its totient is φ = 9960019200.

The previous prime is 31321304293. The next prime is 31321304351. The reversal of 31321304300 is 340312313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214061 + ... + 329339.

Almost surely, 231321304300 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 31321304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42026476800).

31321304300 is an abundant number, since it is smaller than the sum of its proper divisors (52731649300).

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

31321304300 is a wasteful number, since it uses less digits than its factorization.

31321304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115336 (or 115329 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31321304300 its reverse (340312313), we get a palindrome (31661616613).

The spelling of 31321304300 in words is "thirty-one billion, three hundred twenty-one million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4940 5225 5434 6175 7150 10450 10868 12350 13585 14300 20900 24700 27170 54340 67925 115279 135850 230558 271700 461116 576395 1152790 1268069 1498627 2190301 2305580 2536138 2881975 2997254 4380602 5072276 5763950 5994508 6340345 7493135 8761204 10951505 11527900 12680690 14986270 16484897 21903010 24093311 25361380 28473913 29972540 31701725 32969794 37465675 43806020 48186622 54757525 56947826 63403450 65939588 74931350 82424485 96373244 109515050 113895652 120466555 126806900 142369565 149862700 164848970 219030100 240933110 284739130 313213043 329697940 412122425 481866220 569478260 602332775 626426086 711847825 824244850 1204665550 1252852172 1423695650 1566065215 1648489700 2409331100 2847391300 3132130430 6264260860 7830326075 15660652150 31321304300