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233331000132132 = 223271138193952807
BaseRepresentation
bin110101000011011010011011…
…011000001100001000100100
31010121011020002120201222222200
4311003122123120030020210
5221040343342013212012
62144130440501454500
7100101415461663450
oct6503323330141044
91117136076658880
10233331000132132
116838a137714491
122220513ba11430
13a0270326a7076
1441893d01d7660
151be971c5a03dc
hexd4369b60c224

233331000132132 has 72 divisors (see below), whose sum is σ = 680032531441536. Its totient is φ = 66076035427584.

The previous prime is 233331000132053. The next prime is 233331000132151. The reversal of 233331000132132 is 231231000133332.

233331000132132 is a `hidden beast` number, since 2 + 3 + 3 + 331 + 0 + 0 + 0 + 1 + 321 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233331000132096 and 233331000132105.

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, 4096947928 + ... + 4097004879.

Almost surely, 2233331000132132 is an apocalyptic number.

It is an amenable number.

233331000132132 is an abundant number, since it is smaller than the sum of its proper divisors (446701531309404).

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

233331000132132 is a wasteful number, since it uses less digits than its factorization.

233331000132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8193952937 (or 8193952932 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 233331000132132 its reverse (231231000133332), we get a palindrome (464562000265464).

The spelling of 233331000132132 in words is "two hundred thirty-three trillion, three hundred thirty-one billion, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 8193952807 16387905614 24581858421 32775811228 49163716842 57357669649 73745575263 98327433684 114715339298 147491150526 172073008947 229430678596 294982301052 344146017894 516219026841 688292035788 925916667191 1032438053682 1851833334382 2064876107364 2777750001573 3703666668764 5555500003146 6481416670337 8333250004719 11111000006292 12962833340674 16666500009438 19444250011011 25925666681348 33333000018876 38888500022022 58332750033033 77777000044044 116665500066066 233331000132132