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2033201200032 = 253229243438841
BaseRepresentation
bin11101100101100100001…
…111000011101110100000
321012101001021202120020100
4131211210033003232200
5231302444001400112
64154012325542400
7266615423022432
oct35454417035640
97171037676210
102033201200032
11714304087882
1228a06ab74a00
13119964bc8272
147059c116652
1537d4cb902dc
hex1d9643c3ba0

2033201200032 has 72 divisors (see below), whose sum is σ = 5981292347940. Its totient is φ = 654363601920.

The previous prime is 2033201200001. The next prime is 2033201200033. The reversal of 2033201200032 is 2300021023302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1998502451856 + 34698748176 = 1413684^2 + 186276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2033201199978 and 2033201200014.

It is not an unprimeable number, because it can be changed into a prime (2033201200033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121711069 + ... + 121727772.

Almost surely, 22033201200032 is an apocalyptic number.

It is an amenable number.

2033201200032 is an abundant number, since it is smaller than the sum of its proper divisors (3948091147908).

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

2033201200032 is a wasteful number, since it uses less digits than its factorization.

2033201200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243438886 (or 243438875 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2033201200032 its reverse (2300021023302), we get a palindrome (4333222223334).

The spelling of 2033201200032 in words is "two trillion, thirty-three billion, two hundred one million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 243438841 486877682 730316523 973755364 1460633046 1947510728 2190949569 2921266092 3895021456 4381899138 5842532184 7059726389 7790042912 8763798276 11685064368 14119452778 17527596552 21179179167 23370128736 28238905556 35055193104 42358358334 56477811112 63537537501 70110386208 84716716668 112955622224 127075075002 169433433336 225911244448 254150150004 338866866672 508300300008 677733733344 1016600600016 2033201200032