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1023031010000 = 2454102303101
BaseRepresentation
bin11101110001100010110…
…01100110001011010000
310121210121210022221210102
432320301121212023100
5113230131414310000
62101550212551532
7133624443051536
oct16706131461320
93553553287712
101023031010000
1136495737565a
1214632b0225a8
13756188c45cc
143772d0c8156
151b92864e3d5
hexee316662d0

1023031010000 has 50 divisors (see below), whose sum is σ = 2476860402522. Its totient is φ = 409212400000.

The previous prime is 1023031009919. The next prime is 1023031010033. The reversal of 1023031010000 is 101303201.

It can be written as a sum of positive squares in 5 ways, for example, as 361951437376 + 661079572624 = 601624^2 + 813068^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 51141551 + ... + 51161550.

Almost surely, 21023031010000 is an apocalyptic number.

1023031010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023031010000 is an abundant number, since it is smaller than the sum of its proper divisors (1453829392522).

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

1023031010000 is an equidigital number, since it uses as much as digits as its factorization.

1023031010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102303129 (or 102303108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1023031010000 its reverse (101303201), we get a palindrome (1023132313201).

The spelling of 1023031010000 in words is "one trillion, twenty-three billion, thirty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 102303101 204606202 409212404 511515505 818424808 1023031010 1636849616 2046062020 2557577525 4092124040 5115155050 8184248080 10230310100 12787887625 20460620200 25575775250 40921240400 51151550500 63939438125 102303101000 127878876250 204606202000 255757752500 511515505000 1023031010000