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2201011032 = 2331115155213
BaseRepresentation
bin1000001100110000…
…1100001101011000
312200101120221112010
42003030030031120
514001424323112
61002223145520
7105354166533
oct20314141530
95611527463
102201011032
11a2a460190
125151452a0
13290cc68bc
1416c461a1a
15cd36b63c
hex8330c358

2201011032 has 64 divisors (see below), whose sum is σ = 6042620160. Its totient is φ = 662544000.

The previous prime is 2201011031. The next prime is 2201011051. The reversal of 2201011032 is 2301101022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201010999 and 2201011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201011031) 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, 12258 + ... + 67470.

It is an arithmetic number, because the mean of its divisors is an integer number (94415940).

Almost surely, 22201011032 is an apocalyptic number.

2201011032 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 2201011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021310080).

2201011032 is an abundant number, since it is smaller than the sum of its proper divisors (3841609128).

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

2201011032 is a wasteful number, since it uses less digits than its factorization.

2201011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55384 (or 55380 counting only the distinct ones).

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

The square root of 2201011032 is about 46914.9339976089. The cubic root of 2201011032 is about 1300.7906496077.

Adding to 2201011032 its reverse (2301101022), we get a palindrome (4502112054).

The spelling of 2201011032 in words is "two billion, two hundred one million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 4983 6644 9966 13288 19932 39864 55213 110426 165639 220852 331278 441704 607343 662556 1214686 1325112 1822029 2429372 3644058 4858744 7288116 8337163 14576232 16674326 25011489 33348652 50022978 66697304 91708793 100045956 183417586 200091912 275126379 366835172 550252758 733670344 1100505516 2201011032