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2153131350 = 235231736343
BaseRepresentation
bin1000000001010110…
…0010110101010110
312120001111101221120
42000111202311112
513402200200400
6553353024410
7104233212606
oct20025426526
95501441846
102153131350
11a054284a7
125010b5106
13284101626
14165d5ac06
15c905eca0
hex80562d56

2153131350 has 96 divisors (see below), whose sum is σ = 5588404224. Its totient is φ = 547948800.

The previous prime is 2153131313. The next prime is 2153131369. The reversal of 2153131350 is 531313512.

It is a super-2 number, since 2×21531313502 = 9271949220705645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2153131350.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336279 + ... + 342621.

It is an arithmetic number, because the mean of its divisors is an integer number (58212544).

Almost surely, 22153131350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153131350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794202112).

2153131350 is an abundant number, since it is smaller than the sum of its proper divisors (3435272874).

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

2153131350 is a wasteful number, since it uses less digits than its factorization.

2153131350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 2153131350 is about 46401.8464072282. The cubic root of 2153131350 is about 1291.2891685375.

Adding to 2153131350 its reverse (531313512), we get a palindrome (2684444862).

The spelling of 2153131350 in words is "two billion, one hundred fifty-three million, one hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 73 75 93 146 150 155 186 219 310 365 438 465 730 775 930 1095 1550 1825 2190 2263 2325 3650 4526 4650 5475 6343 6789 10950 11315 12686 13578 19029 22630 31715 33945 38058 56575 63430 67890 95145 113150 158575 169725 190290 196633 317150 339450 393266 463039 475725 589899 926078 951450 983165 1179798 1389117 1966330 2315195 2778234 2949495 4630390 4915825 5898990 6945585 9831650 11575975 13891170 14354209 14747475 23151950 28708418 29494950 34727925 43062627 69455850 71771045 86125254 143542090 215313135 358855225 430626270 717710450 1076565675 2153131350