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2121003213 = 372359263283
BaseRepresentation
bin111111001101011…
…1111000011001101
312110211001010102120
41332122333003031
513320434100323
6550244243153
7103363141560
oct17632770315
95424033376
102121003213
1199928411a
124b23a04b9
1327a562ab4
141619964d7
15c63155e3
hex7e6bf0cd

2121003213 has 64 divisors (see below), whose sum is σ = 3454894080. Its totient is φ = 1131311808.

The previous prime is 2121003211. The next prime is 2121003217. The reversal of 2121003213 is 3123001212.

It is not a de Polignac number, because 2121003213 - 21 = 2121003211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121003192 and 2121003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121003211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7494570 + ... + 7494852.

It is an arithmetic number, because the mean of its divisors is an integer number (53982720).

Almost surely, 22121003213 is an apocalyptic number.

2121003213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2121003213 is a deficient number, since it is larger than the sum of its proper divisors (1333890867).

2121003213 is a wasteful number, since it uses less digits than its factorization.

2121003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2121003213 is about 46054.3506413889. The cubic root of 2121003213 is about 1284.8342608487.

Adding to 2121003213 its reverse (3123001212), we get a palindrome (5244004425).

The spelling of 2121003213 in words is "two billion, one hundred twenty-one million, three thousand, two hundred thirteen".

Divisors: 1 3 7 21 23 59 69 161 177 263 283 413 483 789 849 1239 1357 1841 1981 4071 5523 5943 6049 6509 9499 15517 16697 18147 19527 28497 42343 45563 46551 50091 74429 108619 116879 127029 136689 223287 325857 350637 356891 384031 521003 1070673 1152093 1563009 1711867 2498237 2688217 4391311 5135601 7494711 8064651 11983069 13173933 30739177 35949207 92217531 101000153 303000459 707001071 2121003213