Search a number
-
+
313351121020 = 225713748733547
BaseRepresentation
bin1001000111101010010…
…11101010100001111100
31002221210222102020200211
410203311023222201330
520113220341333040
6355541310002204
731432063403410
oct4436513524174
91087728366624
10313351121020
111109895a2113
12508907a6364
1323719b89b12
141124838ad40
15823e86b8ea
hex48f52ea87c

313351121020 has 96 divisors (see below), whose sum is σ = 759110188032. Its totient is φ = 106428307968.

The previous prime is 313351120939. The next prime is 313351121021. The reversal of 313351121020 is 20121153313.

It is a junction number, because it is equal to n+sod(n) for n = 313351120982 and 313351121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313351121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9323887 + ... + 9357433.

It is an arithmetic number, because the mean of its divisors is an integer number (7907397792).

Almost surely, 2313351121020 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 313351121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379555094016).

313351121020 is an abundant number, since it is smaller than the sum of its proper divisors (445759067012).

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

313351121020 is a wasteful number, since it uses less digits than its factorization.

313351121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34187 (or 34185 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 313351121020 its reverse (20121153313), we get a palindrome (333472274333).

The spelling of 313351121020 in words is "three hundred thirteen billion, three hundred fifty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 487 548 685 959 974 1370 1918 1948 2435 2740 3409 3836 4795 4870 6818 9590 9740 13636 17045 19180 33547 34090 66719 67094 68180 133438 134188 167735 234829 266876 333595 335470 467033 469658 667190 670940 934066 939316 1174145 1334380 1868132 2335165 2348290 4595939 4670330 4696580 9191878 9340660 16337389 18383756 22979695 32171573 32674778 45959390 64343146 65349556 81686945 91918780 114361723 128686292 160857865 163373890 228723446 321715730 326747780 457446892 571808615 643431460 1143617230 2238222293 2287234460 4476444586 8952889172 11191111465 15667556051 22382222930 31335112102 44764445860 62670224204 78337780255 156675560510 313351121020