Search a number
-
+
1020313023100 = 225278573170021
BaseRepresentation
bin11101101100011110110…
…01010011001001111100
310121112121100221220200221
432312033121103021330
5113204100113214400
62100420401031124
7133500210412510
oct16661731231174
93545540856627
101020313023100
11363792113898
121458b09254a4
13752a4780b37
1437552132140
151b819c14c1a
hexed8f65327c

1020313023100 has 72 divisors (see below), whose sum is σ = 2530686338208. Its totient is φ = 349778745600.

The previous prime is 1020313023073. The next prime is 1020313023109. The reversal of 1020313023100 is 13203130201.

It is a super-2 number, since 2×10203130231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020313023109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5916090 + ... + 6086110.

It is an arithmetic number, because the mean of its divisors is an integer number (35148421364).

Almost surely, 21020313023100 is an apocalyptic number.

1020313023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020313023100 is an abundant number, since it is smaller than the sum of its proper divisors (1510373315108).

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

1020313023100 is a wasteful number, since it uses less digits than its factorization.

1020313023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178615 (or 178608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1020313023100 its reverse (13203130201), we get a palindrome (1033516153301).

The spelling of 1020313023100 in words is "one trillion, twenty billion, three hundred thirteen million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 8573 17146 34292 42865 60011 85730 120022 170021 171460 214325 240044 300055 340042 428650 600110 680084 850105 857300 1190147 1200220 1500275 1700210 2380294 3000550 3400420 4250525 4760588 5950735 6001100 8501050 11901470 17002100 23802940 29753675 59507350 119014700 1457590033 2915180066 5830360132 7287950165 10203130231 14575900330 20406260462 29151800660 36439750825 40812520924 51015651155 72879501650 102031302310 145759003300 204062604620 255078255775 510156511550 1020313023100