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2001232122032 = 2411132921040029
BaseRepresentation
bin11101000111110010101…
…110101101000010110000
321002022112022022010122102
4131013302232231002300
5230242010410401112
64131204153355532
7264404253240413
oct35076256550260
97068468263572
102001232122032
117017993a7360
12283a28708ba8
1311693b8c4670
146cc08381b7a
15370cb260bc2
hex1d1f2bad0b0

2001232122032 has 120 divisors (see below), whose sum is σ = 4717750805040. Its totient is φ = 810722626560.

The previous prime is 2001232122023. The next prime is 2001232122053. The reversal of 2001232122032 is 2302212321002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001232121995 and 2001232122013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404194 + ... + 2444222.

It is an arithmetic number, because the mean of its divisors is an integer number (39314590042).

Almost surely, 22001232122032 is an apocalyptic number.

2001232122032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001232122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358875402520).

2001232122032 is an abundant number, since it is smaller than the sum of its proper divisors (2716518683008).

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

2001232122032 is a wasteful number, since it uses less digits than its factorization.

2001232122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040119 (or 1040084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2001232122032 its reverse (2302212321002), we get a palindrome (4303444443034).

The spelling of 2001232122032 in words is "two trillion, one billion, two hundred thirty-two million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 208 232 286 319 377 464 572 638 754 841 1144 1276 1508 1682 2288 2552 3016 3364 4147 5104 6032 6728 8294 9251 10933 13456 16588 18502 21866 33176 37004 43732 66352 74008 87464 120263 148016 174928 240526 481052 962104 1040029 1924208 2080058 4160116 8320232 11440319 13520377 16640464 22880638 27040754 30160841 45761276 54081508 60321682 91522552 108163016 120643364 148724147 183045104 216326032 241286728 297448294 331769251 392090933 482573456 594896588 663538502 784181866 874664389 1189793176 1327077004 1568363732 1749328778 2379586352 2654154008 3136727464 3498657556 4313000263 5308308016 6273454928 6997315112 8626000526 9621308279 11370637057 13994630224 17252001052 19242616558 22741274114 34504002104 38485233116 45482548228 69008004208 76970466232 90965096456 125077007627 153940932464 181930192912 250154015254 500308030508 1000616061016 2001232122032