Search a number
-
+
311213103000 = 23353195459879
BaseRepresentation
bin1001000011101011011…
…11110001011110011000
31002202021222100200100020
410201311233301132120
520044331023244000
6354545212510440
731325102504622
oct4416557613630
91082258320306
10311213103000
1110aa91757578
125039477b420
1323468c4a5b7
14110c4445c12
158166ce4ba0
hex4875bf1798

311213103000 has 128 divisors (see below), whose sum is σ = 1022089536000. Its totient is φ = 78622243200.

The previous prime is 311213102987. The next prime is 311213103121. The reversal of 311213103000 is 301312113.

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, 2672940 + ... + 2786939.

It is an arithmetic number, because the mean of its divisors is an integer number (7985074500).

Almost surely, 2311213103000 is an apocalyptic number.

311213103000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311213103000 is an abundant number, since it is smaller than the sum of its proper divisors (710876433000).

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

311213103000 is a wasteful number, since it uses less digits than its factorization.

311213103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459922 (or 5459908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 311213103000 its reverse (301312113), we get a palindrome (311514415113).

The spelling of 311213103000 in words is "three hundred eleven billion, two hundred thirteen million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 5459879 10919758 16379637 21839516 27299395 32759274 43679032 54598790 65518548 81898185 103737701 109197580 131037096 136496975 163796370 207475402 218395160 272993950 311213103 327592740 409490925 414950804 518688505 545987900 622426206 655185480 682484875 818981850 829901608 1037377010 1091975800 1244852412 1364969750 1556065515 1637963700 2047454625 2074754020 2489704824 2593442525 2729939500 3112131030 3275927400 4094909250 4149508040 5186885050 5459879000 6224262060 7780327575 8189818500 10373770100 12448524120 12967212625 15560655150 16379637000 20747540200 25934425250 31121310300 38901637875 51868850500 62242620600 77803275750 103737701000 155606551500 311213103000