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3133022020000 = 25541011551001
BaseRepresentation
bin101101100101110110101…
…010100010000110100000
3102002111212200200001011121
4231211312222202012200
5402312412114120000
610355142423022024
7442232130525265
oct55456652420640
912074780601147
103133022020000
11aa87862861a4
1242724a89a914
1319959a828942
14ab8d389b26c
155676ca4ab1a
hex2d976aa21a0

3133022020000 has 120 divisors (see below), whose sum is σ = 7784023043412. Its totient is φ = 1240800000000.

The previous prime is 3133022019989. The next prime is 3133022020019. The reversal of 3133022020000 is 202203313.

It can be written as a sum of positive squares in 10 ways, for example, as 334588206096 + 2798433813904 = 578436^2 + 1672852^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 1244500 + ... + 2795500.

Almost surely, 23133022020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892011521706).

3133022020000 is an abundant number, since it is smaller than the sum of its proper divisors (4651001023412).

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

3133022020000 is a wasteful number, since it uses less digits than its factorization.

3133022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551132 (or 1551109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3133022020000 its reverse (202203313), we get a palindrome (3133224223313).

The spelling of 3133022020000 in words is "three trillion, one hundred thirty-three billion, twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 63125 80800 101000 126250 202000 252500 404000 505000 1010000 1551001 2020000 3102002 6204004 7755005 12408008 15510010 24816016 31020020 38775025 49632032 62040040 77550050 124080080 155100100 156651101 193875125 248160160 310200200 313302202 387750250 620400400 626604404 775500500 783255505 969375625 1240800800 1253208808 1551001000 1566511010 1938751250 2506417616 3102002000 3133022020 3877502500 3916277525 5012835232 6204004000 6266044040 7755005000 7832555050 12532088080 15510010000 15665110100 19581387625 25064176160 31020020000 31330220200 39162775250 62660440400 78325550500 97906938125 125320880800 156651101000 195813876250 313302202000 391627752500 626604404000 783255505000 1566511010000 3133022020000