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213011320 = 235107157317
BaseRepresentation
bin11001011001001…
…00101101111000
3112211211002121011
430230210231320
5414012330240
633045323304
75164365154
oct1454445570
9484732534
10213011320
11aa26a615
125b406534
1335191702
142040c064
1513a796ea
hexcb24b78

213011320 has 64 divisors (see below), whose sum is σ = 488371680. Its totient is φ = 83606016.

The previous prime is 213011317. The next prime is 213011341. The reversal of 213011320 is 23110312.

213011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2130113203 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213011320.

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, 671802 + ... + 672118.

Almost surely, 2213011320 is an apocalyptic number.

213011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213011320 is an abundant number, since it is smaller than the sum of its proper divisors (275360360).

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

213011320 is a wasteful number, since it uses less digits than its factorization.

213011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213011320 is about 14594.9073309836. The cubic root of 213011320 is about 597.2198414648.

Adding to 213011320 its reverse (23110312), we get a palindrome (236121632).

The spelling of 213011320 in words is "two hundred thirteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 157 214 314 317 428 535 628 634 785 856 1070 1256 1268 1570 1585 2140 2536 3140 3170 4280 6280 6340 12680 16799 33598 33919 49769 67196 67838 83995 99538 134392 135676 167990 169595 199076 248845 271352 335980 339190 398152 497690 671960 678380 995380 1356760 1990760 5325283 10650566 21301132 26626415 42602264 53252830 106505660 213011320