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232133001300 = 223252376970961
BaseRepresentation
bin1101100000110000110…
…1001000000001010100
3211012011202012021120200
43120030031020001110
512300402022020200
6254350155500500
722525320645354
oct3301415100124
9735152167520
10232133001300
118a4a1033722
1238ba4a57730
1318b75588205
14b341926b64
156089483800
hex360c348054

232133001300 has 108 divisors (see below), whose sum is σ = 747273184476. Its totient is φ = 60229094400.

The previous prime is 232133001299. The next prime is 232133001311. The reversal of 232133001300 is 3100331232.

232133001300 is a `hidden beast` number, since 2 + 32 + 1 + 330 + 0 + 1 + 300 = 666.

232133001300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14868875844 + 217264125456 = 121938^2 + 466116^2 .

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3452181 + ... + 3518780.

Almost surely, 2232133001300 is an apocalyptic number.

232133001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133001300 is an abundant number, since it is smaller than the sum of its proper divisors (515140183176).

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

232133001300 is a wasteful number, since it uses less digits than its factorization.

232133001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971018 (or 6971008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 232133001300 its reverse (3100331232), we get a palindrome (235233332532).

The spelling of 232133001300 in words is "two hundred thirty-two billion, one hundred thirty-three million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 6970961 13941922 20912883 27883844 34854805 41825766 62738649 69709610 83651532 104564415 125477298 139419220 174274025 209128830 250954596 257925557 313693245 348548050 418257660 515851114 522822075 627386490 697096100 773776671 1031702228 1045644150 1254772980 1289627785 1547553342 1568466225 2091288300 2321330013 2579255570 3095106684 3136932450 3868883355 4642660026 5158511140 6273864900 6448138925 7737766710 9285320052 11606650065 12896277850 15475533420 19344416775 23213300130 25792555700 38688833550 46426600260 58033250325 77377667100 116066500650 232133001300