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2112012020 = 2253128312037
BaseRepresentation
bin111110111100010…
…1011111011110100
312110012010022211102
41331320223323310
513311133341040
6545323425232
7103223543306
oct17570537364
95405108742
102112012020
119941a2988
124ab385218
13278735471
141606d5976
15c563b515
hex7de2bef4

2112012020 has 48 divisors (see below), whose sum is σ = 4594856448. Its totient is φ = 814596480.

The previous prime is 2112011969. The next prime is 2112012043. The reversal of 2112012020 is 202102112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2112011992 and 2112012010.

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, 169442 + ... + 181478.

It is an arithmetic number, because the mean of its divisors is an integer number (95726176).

Almost surely, 22112012020 is an apocalyptic number.

2112012020 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 2112012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297428224).

2112012020 is an abundant number, since it is smaller than the sum of its proper divisors (2482844428).

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

2112012020 is a wasteful number, since it uses less digits than its factorization.

2112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2112012020 is about 45956.6319479572. The cubic root of 2112012020 is about 1283.0161659939.

Adding to 2112012020 its reverse (202102112), we get a palindrome (2314114132).

The spelling of 2112012020 in words is "two billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 283 310 566 620 1132 1415 2830 5660 8773 12037 17546 24074 35092 43865 48148 60185 87730 120370 175460 240740 373147 746294 1492588 1865735 3406471 3731470 6812942 7462940 13625884 17032355 34064710 68129420 105600601 211201202 422402404 528003005 1056006010 2112012020