Search a number
-
+
232130133120 = 2735990112211
BaseRepresentation
bin1101100000110000001…
…0001011110010000000
3211012011112210120011210
43120030002023302000
512300400303224440
6254350014210120
722525254401334
oct3301402136200
9735145716153
10232130133120
118a49a454826
1238ba3ab3940
1318b74ac2872
14b3413bb7c4
1560890b8a80
hex360c08bc80

232130133120 has 128 divisors (see below), whose sum is σ = 740050130880. Its totient is φ = 61890048000.

The previous prime is 232130133073. The next prime is 232130133161. The reversal of 232130133120 is 21331031232.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19003815 + ... + 19016025.

Almost surely, 2232130133120 is an apocalyptic number.

232130133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232130133120 is an abundant number, since it is smaller than the sum of its proper divisors (507919997760).

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

232130133120 is a wasteful number, since it uses less digits than its factorization.

232130133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22134 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 232130133120 its reverse (21331031232), we get a palindrome (253461164352).

The spelling of 232130133120 in words is "two hundred thirty-two billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 9901 12211 19802 24422 29703 36633 39604 48844 49505 59406 61055 73266 79208 97688 99010 118812 122110 146532 148515 158416 183165 195376 198020 237624 244220 293064 297030 316832 366330 390752 396040 475248 488440 586128 594060 633664 732660 781504 792080 950496 976880 1172256 1188120 1267328 1465320 1563008 1584160 1900992 1953760 2344512 2376240 2930640 3168320 3801984 3907520 4689024 4752480 5861280 6336640 7815040 9504960 11722560 19009920 23445120 120901111 241802222 362703333 483604444 604505555 725406666 967208888 1209011110 1450813332 1813516665 1934417776 2418022220 2901626664 3627033330 3868835552 4836044440 5803253328 7254066660 7737671104 9672088880 11606506656 14508133320 15475342208 19344177760 23213013312 29016266640 38688355520 46426026624 58032533280 77376711040 116065066560 232130133120