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3121203213 = 341729471663
BaseRepresentation
bin1011101000001001…
…1100100000001101
322001112002112220000
42322002130200031
522343012000323
61233414114513
7140226534552
oct27202344015
98045075800
103121203213
111361924197
1273134ba39
133a984000b
14218756a29
15134035e43
hexba09c80d

3121203213 has 80 divisors (see below), whose sum is σ = 5218836480. Its totient is φ = 1849526784.

The previous prime is 3121203209. The next prime is 3121203229. The reversal of 3121203213 is 3123021213.

It is not a de Polignac number, because 3121203213 - 22 = 3121203209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121203713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1876020 + ... + 1877682.

It is an arithmetic number, because the mean of its divisors is an integer number (65235456).

Almost surely, 23121203213 is an apocalyptic number.

It is an amenable number.

3121203213 is a deficient number, since it is larger than the sum of its proper divisors (2097633267).

3121203213 is a wasteful number, since it uses less digits than its factorization.

3121203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3121203213 is about 55867.7296209538. The cubic root of 3121203213 is about 1461.4165292810.

Adding to 3121203213 its reverse (3123021213), we get a palindrome (6244224426).

The spelling of 3121203213 in words is "three billion, one hundred twenty-one million, two hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 29 47 51 81 87 141 153 261 423 459 493 783 799 1269 1363 1377 1479 1663 2349 2397 3807 4089 4437 4989 7191 12267 13311 14967 21573 23171 28271 36801 39933 44901 48227 64719 69513 78161 84813 110403 134703 144681 208539 234483 254439 434043 625617 703449 763317 819859 1302129 1328737 1876851 2110347 2266669 2289951 2459577 3906387 3986211 6331041 6800007 7378731 11958633 20400021 22136193 35875899 38533373 61200063 66408579 107627697 115600119 183600189 346800357 1040401071 3121203213