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2012214100 = 2252131547857
BaseRepresentation
bin111011111101111…
…1111001101010100
312012020100001211011
41313323333031110
513110111322400
6531400422004
7100602352261
oct16773771524
95166301734
102012214100
1194292a266
12481a77904
13260b62940
14151358268
15bb9c68ba
hex77eff354

2012214100 has 36 divisors (see below), whose sum is σ = 4702392604. Its totient is φ = 742970880.

The previous prime is 2012214091. The next prime is 2012214107. The reversal of 2012214100 is 14122102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 234579856 + 1777634244 = 15316^2 + 42162^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012214107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772629 + ... + 775228.

Almost surely, 22012214100 is an apocalyptic number.

2012214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012214100 is an abundant number, since it is smaller than the sum of its proper divisors (2690178504).

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

2012214100 is a wasteful number, since it uses less digits than its factorization.

2012214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547884 (or 1547877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2012214100 is about 44857.7094823175. The cubic root of 2012214100 is about 1262.4806466987.

Adding to 2012214100 its reverse (14122102), we get a palindrome (2026336202).

The spelling of 2012214100 in words is "two billion, twelve million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1547857 3095714 6191428 7739285 15478570 20122141 30957140 38696425 40244282 77392850 80488564 100610705 154785700 201221410 402442820 503053525 1006107050 2012214100