Search a number
-
+
1130201203302 = 2331943158316183
BaseRepresentation
bin10000011100100101001…
…111011100001001100110
311000001020122221212011000
4100130211033130021212
5122004123002001202
62223112434054130
7144440303501643
oct20344517341146
94001218855130
101130201203302
113a635212a046
1216305a11a346
1382767a59282
143c9b8528dca
151e5ec0c091c
hex107253dc266

1130201203302 has 128 divisors (see below), whose sum is σ = 2707104153600. Its totient is φ = 348363765792.

The previous prime is 1130201203289. The next prime is 1130201203357. The reversal of 1130201203302 is 2033021020311.

1130201203302 is a `hidden beast` number, since 1 + 130 + 201 + 2 + 0 + 330 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 69830703 + ... + 69846885.

It is an arithmetic number, because the mean of its divisors is an integer number (21149251200).

Almost surely, 21130201203302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130201203302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353552076800).

1130201203302 is an abundant number, since it is smaller than the sum of its proper divisors (1576902950298).

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

1130201203302 is a wasteful number, since it uses less digits than its factorization.

1130201203302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17839 (or 17833 counting only the distinct ones).

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

Adding to 1130201203302 its reverse (2033021020311), we get a palindrome (3163222223613).

The spelling of 1130201203302 in words is "one trillion, one hundred thirty billion, two hundred one million, two hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 258 342 387 513 774 817 1026 1161 1583 1634 2322 2451 3166 4749 4902 7353 9498 14247 14706 16183 22059 28494 30077 32366 42741 44118 48549 60154 68069 85482 90231 97098 136138 145647 180462 204207 270693 291294 307477 408414 436941 541386 612621 614954 695869 812079 873882 922431 1225242 1293311 1391738 1624158 1837863 1844862 2087607 2586622 2767293 3675726 3879933 4175214 5534586 6262821 7759866 8301879 11639799 12525642 13221511 16603758 18788463 23279598 25617689 26443022 34919397 37576926 39664533 51235378 69838794 76853067 79329066 118993599 153706134 230559201 237987198 356980797 461118402 486736091 691677603 713961594 973472182 1101560627 1383355206 1460208273 2203121254 2920416546 3304681881 4380624819 6609363762 8761249638 9914045643 13141874457 19828091286 20929651913 26283748914 29742136929 41859303826 59484273858 62788955739 125577911478 188366867217 376733734434 565100601651 1130201203302