Search a number
-
+
32131201230 = 23357110316273
BaseRepresentation
bin11101111011001010…
…110011100011001110
310001221021112010212000
4131323022303203032
51011301041414410
622432203053130
72215145463342
oct357312634316
9101837463760
1032131201230
1112699253067
1262888111a6
133050a8890b
1417ab4d7622
15c80ca5dc0
hex77b2b38ce

32131201230 has 128 divisors (see below), whose sum is σ = 87738992640. Its totient is φ = 8365109760.

The previous prime is 32131201199. The next prime is 32131201231. The reversal of 32131201230 is 3210213123.

32131201230 is a `hidden beast` number, since 321 + 312 + 0 + 1 + 2 + 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 not an unprimeable number, because it can be changed into a prime (32131201231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1966374 + ... + 1982646.

It is an arithmetic number, because the mean of its divisors is an integer number (685460880).

Almost surely, 232131201230 is an apocalyptic number.

32131201230 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 32131201230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43869496320).

32131201230 is an abundant number, since it is smaller than the sum of its proper divisors (55607791410).

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

32131201230 is a wasteful number, since it uses less digits than its factorization.

32131201230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463 (or 16457 counting only the distinct ones).

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

Adding to 32131201230 its reverse (3210213123), we get a palindrome (35341414353).

The spelling of 32131201230 in words is "thirty-two billion, one hundred thirty-one million, two hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 103 135 142 206 213 270 309 355 426 515 618 639 710 927 1030 1065 1278 1545 1854 1917 2130 2781 3090 3195 3834 4635 5562 6390 7313 9270 9585 13905 14626 16273 19170 21939 27810 32546 36565 43878 48819 65817 73130 81365 97638 109695 131634 146457 162730 197451 219390 244095 292914 329085 394902 439371 488190 658170 732285 878742 987255 1155383 1464570 1676119 1974510 2196855 2310766 3352238 3466149 4393710 5028357 5776915 6932298 8380595 10056714 10398447 11553830 15085071 16761190 17330745 20796894 25141785 30170142 31195341 34661490 45255213 50283570 51992235 62390682 75425355 90510426 103984470 119004449 150850710 155976705 226276065 238008898 311953410 357013347 452552130 595022245 714026694 1071040041 1190044490 1785066735 2142080082 3213120123 3570133470 5355200205 6426240246 10710400410 16065600615 32131201230