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2121130224 = 2432139910529
BaseRepresentation
bin111111001101101…
…1110000011110000
312110211021120122200
41332123132003300
513321002131344
6550251103200
7103364211063
oct17633360360
95424246580
102121130224
11999360594
124b2441b00
1327a5a8855
141619ca8da
15c633d069
hex7e6de0f0

2121130224 has 60 divisors (see below), whose sum is σ = 5941026000. Its totient is φ = 706470912.

The previous prime is 2121130211. The next prime is 2121130237. The reversal of 2121130224 is 4220311212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121130211) and next prime (2121130237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121130197 and 2121130206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196192 + ... + 206720.

It is an arithmetic number, because the mean of its divisors is an integer number (99017100).

Almost surely, 22121130224 is an apocalyptic number.

2121130224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121130224 is an abundant number, since it is smaller than the sum of its proper divisors (3819895776).

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

2121130224 is a wasteful number, since it uses less digits than its factorization.

2121130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2121130224 is about 46055.7295458448. The cubic root of 2121130224 is about 1284.8599067044.

Adding to 2121130224 its reverse (4220311212), we get a palindrome (6341441436).

The spelling of 2121130224 in words is "two billion, one hundred twenty-one million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1399 2798 4197 5596 8394 10529 11192 12591 16788 21058 22384 25182 31587 33576 42116 50364 63174 67152 84232 94761 100728 126348 168464 189522 201456 252696 379044 505392 758088 1516176 14730071 29460142 44190213 58920284 88380426 117840568 132570639 176760852 235681136 265141278 353521704 530282556 707043408 1060565112 2121130224