Search a number
-
+
213010111350 = 2325217269103511
BaseRepresentation
bin1100011001100001100…
…1000101101101110110
3202100211001002211010100
43012120121011231312
511442221042030400
6241504441534530
721250406033541
oct3063031055566
9670731084110
10213010111350
1182378722443
12353487a4446
131711882130a
14a449d1d858
15581a722100
hex3198645b76

213010111350 has 144 divisors (see below), whose sum is σ = 608209598880. Its totient is φ = 53262105600.

The previous prime is 213010111283. The next prime is 213010111357. The reversal of 213010111350 is 53111010312.

213010111350 is a `hidden beast` number, since 2 + 1 + 301 + 0 + 1 + 11 + 350 = 666.

213010111350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010111357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2006095 + ... + 2109605.

It is an arithmetic number, because the mean of its divisors is an integer number (4223677770).

Almost surely, 2213010111350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213010111350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304104799440).

213010111350 is an abundant number, since it is smaller than the sum of its proper divisors (395199487530).

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

213010111350 is a wasteful number, since it uses less digits than its factorization.

213010111350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103815 (or 103807 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 213010111350 its reverse (53111010312), we get a palindrome (266121121662).

The spelling of 213010111350 in words is "two hundred thirteen billion, ten million, one hundred eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 269 306 425 450 510 538 765 807 850 1275 1345 1530 1614 2421 2550 2690 3825 4035 4573 4842 6725 7650 8070 9146 12105 13450 13719 20175 22865 24210 27438 40350 41157 45730 60525 68595 82314 103511 114325 121050 137190 205785 207022 228650 310533 342975 411570 517555 621066 685950 931599 1028925 1035110 1552665 1759687 1863198 2057850 2587775 3105330 3519374 4657995 5175550 5279061 7763325 8798435 9315990 10558122 15526650 15837183 17596870 23289975 26395305 27844459 31674366 43992175 46579950 52790610 55688918 79185915 83533377 87984350 131976525 139222295 158371830 167066754 250600131 263953050 278444590 395929575 417666885 473355803 501200262 696111475 791859150 835333770 946711606 1253000655 1392222950 1420067409 2088334425 2366779015 2506001310 2840134818 4176668850 4260202227 4733558030 6265003275 7100337045 8520404454 11833895075 12530006550 14200674090 21301011135 23667790150 35501685225 42602022270 71003370450 106505055675 213010111350