Search a number
-
+
313330011000 = 23353531970629
BaseRepresentation
bin1001000111100111110…
…11001000101101111000
31002221202111200202012020
410203303323020231320
520113144440323000
6355535233314440
731431416102226
oct4436373105570
91087674622166
10313330011000
11110978693916
1250885705a20
13237156a8396
1411245653b16
15823ca9bba0
hex48f3ec8b78

313330011000 has 128 divisors (see below), whose sum is σ = 996035227200. Its totient is φ = 81978124800.

The previous prime is 313330010993. The next prime is 313330011017. The reversal of 313330011000 is 110033313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826315 + ... + 1144314.

Almost surely, 2313330011000 is an apocalyptic number.

313330011000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313330011000 is an abundant number, since it is smaller than the sum of its proper divisors (682705216200).

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

313330011000 is a wasteful number, since it uses less digits than its factorization.

313330011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970706 (or 1970692 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 313330011000 its reverse (110033313), we get a palindrome (313440044313).

The spelling of 313330011000 in words is "three hundred thirteen billion, three hundred thirty million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 15900 19875 26500 31800 39750 53000 79500 159000 1970629 3941258 5911887 7882516 9853145 11823774 15765032 19706290 23647548 29559435 39412580 47295096 49265725 59118870 78825160 98531450 104443337 118237740 147797175 197062900 208886674 236475480 246328625 295594350 313330011 394125800 417773348 492657250 522216685 591188700 626660022 738985875 835546696 985314500 1044433370 1182377400 1253320044 1477971750 1566650055 1970629000 2088866740 2506640088 2611083425 2955943500 3133300110 4177733480 5222166850 5911887000 6266600220 7833250275 10444333700 12533200440 13055417125 15666500550 20888667400 26110834250 31333001100 39166251375 52221668500 62666002200 78332502750 104443337000 156665005500 313330011000