Search a number
-
+
121130131230 = 232510156323669
BaseRepresentation
bin111000011001111101…
…0110001111100011110
3102120122202201020002200
41300303322301330132
53441033303144410
6131351343032330
711515501061433
oct1606372617436
9376582636080
10121130131230
114740988a479
121b58629b6a6
13b565387984
145c11489b8a
15323e2de3c0
hex1c33eb1f1e

121130131230 has 96 divisors (see below), whose sum is σ = 318634935840. Its totient is φ = 31923398400.

The previous prime is 121130131219. The next prime is 121130131261. The reversal of 121130131230 is 32131031121.

121130131230 is a `hidden beast` number, since 1 + 21 + 1 + 301 + 312 + 30 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5105836 + ... + 5129504.

It is an arithmetic number, because the mean of its divisors is an integer number (3319113915).

Almost surely, 2121130131230 is an apocalyptic number.

121130131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159317467920).

121130131230 is an abundant number, since it is smaller than the sum of its proper divisors (197504804610).

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

121130131230 is a wasteful number, since it uses less digits than its factorization.

121130131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24346 (or 24343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121130131230 its reverse (32131031121), we get a palindrome (153261162351).

The spelling of 121130131230 in words is "one hundred twenty-one billion, one hundred thirty million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 563 606 909 1010 1126 1515 1689 1818 2815 3030 3378 4545 5067 5630 8445 9090 10134 16890 23669 25335 47338 50670 56863 71007 113726 118345 142014 170589 213021 236690 284315 341178 355035 426042 511767 568630 710070 852945 1023534 1065105 1705890 2130210 2390569 2558835 4781138 5117670 7171707 11952845 13325647 14343414 21515121 23905690 26651294 35858535 39976941 43030242 66628235 71717070 79953882 107575605 119930823 133256470 199884705 215151210 239861646 399769410 599654115 1199308230 1345890347 2691780694 4037671041 6729451735 8075342082 12113013123 13458903470 20188355205 24226026246 40376710410 60565065615 121130131230