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2113220020 = 2251721632243
BaseRepresentation
bin111110111110101…
…0010110110110100
312110021101200220011
41331331102312310
513311441020040
6545405350004
7103240034212
oct17575226664
95407350804
102113220020
1199494852a
124ab868304
13278a69262
1416092bcb2
15c57c93ea
hex7df52db4

2113220020 has 72 divisors (see below), whose sum is σ = 4745198304. Its totient is φ = 790331904.

The previous prime is 2113220009. The next prime is 2113220023. The reversal of 2113220020 is 200223112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113220023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941019 + ... + 943261.

It is an arithmetic number, because the mean of its divisors is an integer number (65905532).

Almost surely, 22113220020 is an apocalyptic number.

2113220020 is a gapful number since it is divisible by the number (20) 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 2113220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372599152).

2113220020 is an abundant number, since it is smaller than the sum of its proper divisors (2631978284).

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

2113220020 is a wasteful number, since it uses less digits than its factorization.

2113220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2113220020 is about 45969.7728948056. The cubic root of 2113220020 is about 1283.2607334354.

Adding to 2113220020 its reverse (200223112), we get a palindrome (2313443132).

The spelling of 2113220020 in words is "two billion, one hundred thirteen million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 289 326 340 578 652 815 1156 1445 1630 2243 2771 2890 3260 4486 5542 5780 8972 11084 11215 13855 22430 27710 38131 44860 47107 55420 76262 94214 152524 188428 190655 235535 365609 381310 471070 648227 731218 762620 942140 1296454 1462436 1828045 2592908 3241135 3656090 6215353 6482270 7312180 12430706 12964540 24861412 31076765 62153530 105661001 124307060 211322002 422644004 528305005 1056610010 2113220020