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1001302232232 = 233431747555383
BaseRepresentation
bin11101001001000100100…
…00111000110010101000
310112201112110210200021110
432210202100320302220
5112401131332412412
62043554125510320
7132225126354321
oct16444220706250
93481473720243
101001302232232
11356717008285
121420861123a0
1373565005863
143666b389448
151b0a5c47d3c
hexe922438ca8

1001302232232 has 64 divisors (see below), whose sum is σ = 2562941652480. Its totient is φ = 325818182592.

The previous prime is 1001302232153. The next prime is 1001302232251. The reversal of 1001302232232 is 2322322031001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001302232199 and 1001302232208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525213 + ... + 2080595.

It is an arithmetic number, because the mean of its divisors is an integer number (40045963320).

Almost surely, 21001302232232 is an apocalyptic number.

1001302232232 is a gapful number since it is divisible by the number (12) 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 1001302232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281470826240).

1001302232232 is an abundant number, since it is smaller than the sum of its proper divisors (1561639420248).

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

1001302232232 is a wasteful number, since it uses less digits than its factorization.

1001302232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557182 (or 557178 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1001302232232 its reverse (2322322031001), we get a palindrome (3323624263233).

The spelling of 1001302232232 in words is "one trillion, one billion, three hundred two million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1747 3494 5241 6988 10482 13976 20964 41928 75121 150242 225363 300484 450726 555383 600968 901452 1110766 1666149 1802904 2221532 3332298 4443064 6664596 13329192 23881469 47762938 71644407 95525876 143288814 191051752 286577628 573155256 970254101 1940508202 2910762303 3881016404 5821524606 7762032808 11643049212 23286098424 41720926343 83441852686 125162779029 166883705372 250325558058 333767410744 500651116116 1001302232232