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1023311310020 = 225193265106557
BaseRepresentation
bin11101110010000100001…
…10110110110011000100
310121211100022202200010122
432321002012312303010
5113231220143410040
62102034104441112
7133634415422006
oct16710206666304
93554308680118
101023311310020
11364a9061416a
121463a8a79198
13756619b56cc
1437758410376
151b94306b1b5
hexee421b6cc4

1023311310020 has 24 divisors (see below), whose sum is σ = 2160088234584. Its totient is φ = 407203670016.

The previous prime is 1023311309957. The next prime is 1023311310059. The reversal of 1023311310020 is 200131133201.

It can be written as a sum of positive squares in 4 ways, for example, as 296390656 + 1023014919364 = 17216^2 + 1011442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132549419 + ... + 132557138.

It is an arithmetic number, because the mean of its divisors is an integer number (90003676441).

Almost surely, 21023311310020 is an apocalyptic number.

1023311310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023311310020 is an abundant number, since it is smaller than the sum of its proper divisors (1136776924564).

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

1023311310020 is a wasteful number, since it uses less digits than its factorization.

1023311310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265106759 (or 265106757 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1023311310020 its reverse (200131133201), we get a palindrome (1223442443221).

It can be divided in two parts, 1023311 and 310020, that added together give a palindrome (1333331).

The spelling of 1023311310020 in words is "one trillion, twenty-three billion, three hundred eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 265106557 530213114 1060426228 1325532785 2651065570 5302131140 51165565501 102331131002 204662262004 255827827505 511655655010 1023311310020