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2113220032 = 267114110459
BaseRepresentation
bin111110111110101…
…0010110111000000
312110021101200220121
41331331102313000
513311441020112
6545405350024
7103240034230
oct17575226700
95407350817
102113220032
11994948540
124ab868314
13278a69271
1416092bcc0
15c57c9407
hex7df52dc0

2113220032 has 112 divisors (see below), whose sum is σ = 5356189440. Its totient is φ = 803174400.

The previous prime is 2113220023. The next prime is 2113220047. The reversal of 2113220032 is 2300223112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2113219988 and 2113220015.

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, 196819 + ... + 207277.

It is an arithmetic number, because the mean of its divisors is an integer number (47823120).

Almost surely, 22113220032 is an apocalyptic number.

2113220032 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 2113220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678094720).

2113220032 is an abundant number, since it is smaller than the sum of its proper divisors (3242969408).

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

2113220032 is a wasteful number, since it uses less digits than its factorization.

2113220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2113220032 is about 45969.7730253261. The cubic root of 2113220032 is about 1283.2607358644.

Adding to 2113220032 its reverse (2300223112), we get a palindrome (4413443144).

The spelling of 2113220032 in words is "two billion, one hundred thirteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 154 164 176 224 287 308 328 352 448 451 574 616 656 704 902 1148 1232 1312 1804 2296 2464 2624 3157 3608 4592 4928 6314 7216 9184 10459 12628 14432 18368 20918 25256 28864 41836 50512 73213 83672 101024 115049 146426 167344 202048 230098 292852 334688 428819 460196 585704 669376 805343 857638 920392 1171408 1610686 1715276 1840784 2342816 3001733 3221372 3430552 3681568 4685632 4717009 6003466 6442744 6861104 7363136 9434018 12006932 12885488 13722208 18868036 24013864 25770976 27444416 33019063 37736072 48027728 51541952 66038126 75472144 96055456 132076252 150944288 192110912 264152504 301888576 528305008 1056610016 2113220032