Search a number
-
+
132130021213230 = 23523475969056179
BaseRepresentation
bin11110000010101111101010…
…111110101000010000101110
3122022211111200100201010102220
4132002233222332220100232
5114304304240412310410
61145003405504500210
736555036046245165
oct3602575276502056
9568744610633386
10132130021213230
1139112033396a37
121299b82491a666
135895a6620a791
14248b1acc7a3dc
1510420121ca070
hex782beafa842e

132130021213230 has 128 divisors (see below), whose sum is σ = 343667747635200. Its totient is φ = 32426571391104.

The previous prime is 132130021213163. The next prime is 132130021213279. The reversal of 132130021213230 is 32312120031231.

132130021213230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321300212132302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132130021213230.

It is a congruent number.

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, 32614720 + ... + 36441459.

It is an arithmetic number, because the mean of its divisors is an integer number (2684904278400).

Almost surely, 2132130021213230 is an apocalyptic number.

132130021213230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132130021213230 is an abundant number, since it is smaller than the sum of its proper divisors (211537726421970).

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

132130021213230 is a wasteful number, since it uses less digits than its factorization.

132130021213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69056318.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132130021213230 its reverse (32312120031231), we get a palindrome (164442141244461).

The spelling of 132130021213230 in words is "one hundred thirty-two trillion, one hundred thirty billion, twenty-one million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 59 69 94 115 118 138 141 177 230 235 282 295 345 354 470 590 690 705 885 1081 1357 1410 1770 2162 2714 2773 3243 4071 5405 5546 6486 6785 8142 8319 10810 13570 13865 16215 16638 20355 27730 32430 40710 41595 63779 83190 127558 191337 318895 382674 637790 956685 1913370 69056179 138112358 207168537 345280895 414337074 690561790 1035842685 1588292117 2071685370 3176584234 3245640413 4074314561 4764876351 6491280826 7941460585 8148629122 9529752702 9736921239 12222943683 15882921170 16228202065 19473842478 20371572805 23824381755 24445887366 32456404130 40743145610 47648763510 48684606195 61114718415 74649729499 93709234903 97369212390 122229436830 149299458998 187418469806 191492784367 223949188497 281127704709 373248647495 382985568734 447898376994 468546174515 562255409418 574478353101 746497294990 937092349030 957463921835 1119745942485 1148956706202 1405638523545 1914927843670 2239491884970 2811277047090 2872391765505 4404334040441 5744783531010 8808668080882 13213002121323 22021670202205 26426004242646 44043340404410 66065010606615 132130021213230