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2100011232 = 2531118110987
BaseRepresentation
bin111110100101011…
…1010000011100000
312102100112121211210
41331022322003200
513300100324412
6544214310120
7103016541504
oct17512720340
95370477753
102100011232
11988446580
124a7358340
132760c2cc7
1415cc90304
15c456a83c
hex7d2ba0e0

2100011232 has 96 divisors (see below), whose sum is σ = 6047443584. Its totient is φ = 632793600.

The previous prime is 2100011227. The next prime is 2100011273. The reversal of 2100011232 is 2321100012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 185643 + ... + 196629.

It is an arithmetic number, because the mean of its divisors is an integer number (62994204).

Almost surely, 22100011232 is an apocalyptic number.

2100011232 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 2100011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023721792).

2100011232 is an abundant number, since it is smaller than the sum of its proper divisors (3947432352).

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

2100011232 is a wasteful number, since it uses less digits than its factorization.

2100011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100011232 is about 45825.8795005617. The cubic root of 2100011232 is about 1280.5814480731.

Adding to 2100011232 its reverse (2321100012), we get a palindrome (4421111244).

The spelling of 2100011232 in words is "two billion, one hundred million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 181 264 352 362 528 543 724 1056 1086 1448 1991 2172 2896 3982 4344 5792 5973 7964 8688 10987 11946 15928 17376 21974 23892 31856 32961 43948 47784 63712 65922 87896 95568 120857 131844 175792 191136 241714 263688 351584 362571 483428 527376 725142 966856 1054752 1450284 1933712 1988647 2900568 3867424 3977294 5801136 5965941 7954588 11602272 11931882 15909176 21875117 23863764 31818352 43750234 47727528 63636704 65625351 87500468 95455056 131250702 175000936 190910112 262501404 350001872 525002808 700003744 1050005616 2100011232