Search a number
-
+
31201232130 = 23352319932521
BaseRepresentation
bin11101000011101111…
…010000010100000010
32222112110121211002000
4131003233100110002
51002400003412010
622200022404430
72153124045225
oct350357202402
988473554060
1031201232130
1112261311562
126069290716
132c331cb343
14171dbb95bc
15c293097c0
hex743bd0502

31201232130 has 128 divisors (see below), whose sum is σ = 86898839040. Its totient is φ = 7951426560.

The previous prime is 31201232123. The next prime is 31201232177. The reversal of 31201232130 is 3123210213.

31201232130 is a `hidden beast` number, since 312 + 0 + 1 + 2 + 321 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12375270 + ... + 12377790.

It is an arithmetic number, because the mean of its divisors is an integer number (678897180).

Almost surely, 231201232130 is an apocalyptic number.

31201232130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43449419520).

31201232130 is an abundant number, since it is smaller than the sum of its proper divisors (55697606910).

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

31201232130 is a wasteful number, since it uses less digits than its factorization.

31201232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4547 counting only the distinct ones).

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

Adding to 31201232130 its reverse (3123210213), we get a palindrome (34324442343).

The spelling of 31201232130 in words is "thirty-one billion, two hundred one million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 1993 2070 2521 3105 3986 5042 5979 6210 7563 9965 11958 12605 15126 17937 19930 22689 25210 29895 35874 37815 45378 45839 53811 57983 59790 68067 75630 89685 91678 107622 113445 115966 136134 137517 173949 179370 226890 229195 269055 275034 289915 340335 347898 412551 458390 521847 538110 579830 680670 687585 825102 869745 1043694 1237653 1375170 1565541 1739490 2062755 2475306 2609235 3131082 4125510 5024353 5218470 6188265 7827705 10048706 12376530 15073059 15655410 25121765 30146118 45219177 50243530 75365295 90438354 115560119 135657531 150730590 226095885 231120238 271315062 346680357 452191770 577800595 678287655 693360714 1040041071 1155601190 1356575310 1733401785 2080082142 3120123213 3466803570 5200205355 6240246426 10400410710 15600616065 31201232130