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2011120332232 = 231131131671443
BaseRepresentation
bin11101010001000000000…
…111001110110111001000
321010021001102201020222211
4131101000013032313020
5230422233301112412
64135521304154504
7265204302524524
oct35210007166710
97107042636884
102011120332232
11705a02aa8000
12285928168a34
131178563a0c0b
146d4a5724d84
15374a93daca7
hex1d4401cedc8

2011120332232 has 64 divisors (see below), whose sum is σ = 4184359767360. Its totient is φ = 906055279360.

The previous prime is 2011120332229. The next prime is 2011120332239. The reversal of 2011120332232 is 2322330211102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2011120332239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367503 + ... + 2038945.

It is an arithmetic number, because the mean of its divisors is an integer number (65380621365).

Almost surely, 22011120332232 is an apocalyptic number.

2011120332232 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 2011120332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092179883680).

2011120332232 is an abundant number, since it is smaller than the sum of its proper divisors (2173239435128).

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

2011120332232 is a wasteful number, since it uses less digits than its factorization.

2011120332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671595 (or 1671569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2011120332232 its reverse (2322330211102), we get a palindrome (4333450543334).

The spelling of 2011120332232 in words is "two trillion, eleven billion, one hundred twenty million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 904 968 1243 1331 2486 2662 4972 5324 9944 10648 13673 27346 54692 109384 150403 300806 601612 1203224 1671443 3342886 6685772 13371544 18385873 36771746 73543492 147086984 188873059 202244603 377746118 404489206 755492236 808978412 1510984472 1617956824 2077603649 2224690633 4155207298 4449381266 8310414596 8898762532 16620829192 17797525064 22853640139 45707280278 91414560556 182829121112 251390041529 502780083058 1005560166116 2011120332232