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2112112020 = 2235671733037
BaseRepresentation
bin111110111100100…
…0100010110010100
312110012022102000010
41331321010112110
513311200041040
6545325520220
7103224440664
oct17571042624
95405272003
102112112020
11994261027
124ab413070
1327876bb35
141607201a4
15c565ae80
hex7de44594

2112112020 has 96 divisors (see below), whose sum is σ = 6038863488. Its totient is φ = 551434752.

The previous prime is 2112111979. The next prime is 2112112049. The reversal of 2112112020 is 202112112.

It is a super-2 number, since 2×21121120202 = 8922034370056960800, which contains 22 as substring.

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 = 2112111987 and 2112112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693942 + ... + 696978.

It is an arithmetic number, because the mean of its divisors is an integer number (62904828).

Almost surely, 22112112020 is an apocalyptic number.

2112112020 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 2112112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019431744).

2112112020 is an abundant number, since it is smaller than the sum of its proper divisors (3926751468).

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

2112112020 is a wasteful number, since it uses less digits than its factorization.

2112112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112112020 is about 45957.7199173327. The cubic root of 2112112020 is about 1283.0364151829.

Adding to 2112112020 its reverse (202112112), we get a palindrome (2314224132).

The spelling of 2112112020 in words is "two billion, one hundred twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 173 201 268 335 346 402 519 670 692 804 865 1005 1038 1340 1730 2010 2076 2595 3037 3460 4020 5190 6074 9111 10380 11591 12148 15185 18222 23182 30370 34773 36444 45555 46364 57955 60740 69546 91110 115910 139092 173865 182220 203479 231820 347730 406958 525401 610437 695460 813916 1017395 1050802 1220874 1576203 2034790 2101604 2441748 2627005 3052185 3152406 4069580 5254010 6104370 6304812 7881015 10508020 12208740 15762030 31524060 35201867 70403734 105605601 140807468 176009335 211211202 352018670 422422404 528028005 704037340 1056056010 2112112020