Search a number
-
+
12133232001100 = 22527109315858361
BaseRepresentation
bin1011000010001111110011…
…1110111100000001001100
31120221220222210121000102201
42300203330332330001030
53042242324343013400
641445532502131244
72361411541231420
oct260437476740114
946856883530381
1012133232001100
113958747174221
12143b602a20b24
136a020b0589b2
142dd374402b80
1516092e8a406a
hexb08fcfbc04c

12133232001100 has 72 divisors (see below), whose sum is σ = 30117947376608. Its totient is φ = 4156158988800.

The previous prime is 12133232001067. The next prime is 12133232001131. The reversal of 12133232001100 is 110023233121.

12133232001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121332320011002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7164081 + ... + 8694280.

Almost surely, 212133232001100 is an apocalyptic number.

12133232001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133232001100 is an abundant number, since it is smaller than the sum of its proper divisors (17984715375508).

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

12133232001100 is a wasteful number, since it uses less digits than its factorization.

12133232001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15859475 (or 15859468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12133232001100 its reverse (110023233121), we get a palindrome (12243255234221).

The spelling of 12133232001100 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1093 2186 4372 5465 7651 10930 15302 21860 27325 30604 38255 54650 76510 109300 153020 191275 382550 765100 15858361 31716722 63433444 79291805 111008527 158583610 222017054 317167220 396459025 444034108 555042635 792918050 1110085270 1585836100 2220170540 2775213175 5550426350 11100852700 17333188573 34666377146 69332754292 86665942865 121332320011 173331885730 242664640022 346663771460 433329714325 485329280044 606661600055 866659428650 1213323200110 1733318857300 2426646400220 3033308000275 6066616000550 12133232001100