Search a number
-
+
1020330313032 = 2331031801229181
BaseRepresentation
bin11101101100100000110…
…11010000010101001000
310121112122120111100000210
432312100123100111020
5113204114030004112
62100422215401120
7133500510363462
oct16662033202510
93545576440023
101020330313032
113637a0952a98
121458b66831a0
13752a8225874
1437554553132
151b81b4ccb3c
hexed906d0548

1020330313032 has 64 divisors (see below), whose sum is σ = 2577032415360. Its totient is φ = 336619584000.

The previous prime is 1020330312979. The next prime is 1020330313069. The reversal of 1020330313032 is 2303130330201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4337482 + ... + 4566662.

It is an arithmetic number, because the mean of its divisors is an integer number (40266131490).

Almost surely, 21020330313032 is an apocalyptic number.

1020330313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020330313032 is an abundant number, since it is smaller than the sum of its proper divisors (1556702102328).

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

1020330313032 is a wasteful number, since it uses less digits than its factorization.

1020330313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231094 (or 231090 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1020330313032 its reverse (2303130330201), we get a palindrome (3323460643233).

The spelling of 1020330313032 in words is "one trillion, twenty billion, three hundred thirty million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 1801 2472 3602 5403 7204 10806 14408 21612 43224 185503 229181 371006 458362 556509 687543 742012 916724 1113018 1375086 1484024 1833448 2226036 2750172 4452072 5500344 23605643 47211286 70816929 94422572 141633858 188845144 283267716 412754981 566535432 825509962 1238264943 1651019924 2476529886 3302039848 4953059772 9906119544 42513763043 85027526086 127541289129 170055052172 255082578258 340110104344 510165156516 1020330313032