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150210432333 = 32132774634837
BaseRepresentation
bin1000101111100100111…
…1010100110101001101
3112100201102102120202200
42023321033110311031
54430112332313313
6153001122512113
713565232415413
oct2137117246515
9470642376680
10150210432333
1158781967075
1225141205639
131121b04a030
1473ad6cb2b3
153d922e9b73
hex22f93d4d4d

150210432333 has 24 divisors (see below), whose sum is σ = 234504263448. Its totient is φ = 92103460992.

The previous prime is 150210432319. The next prime is 150210432341. The reversal of 150210432333 is 333234012051.

150210432333 is a `hidden beast` number, since 1 + 502 + 104 + 3 + 23 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 780252489 + 149430179844 = 27933^2 + 386562^2 .

It is not a de Polignac number, because 150210432333 - 210 = 150210431309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150210432297 and 150210432306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150210432733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2285010 + ... + 2349827.

It is an arithmetic number, because the mean of its divisors is an integer number (9771010977).

Almost surely, 2150210432333 is an apocalyptic number.

150210432333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

150210432333 is a deficient number, since it is larger than the sum of its proper divisors (84293831115).

150210432333 is a wasteful number, since it uses less digits than its factorization.

150210432333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635133 (or 4635130 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 150210432333 its reverse (333234012051), we get a palindrome (483444444384).

It can be divided in two parts, 15021043 and 2333, that added together give a square (15023376 = 38762).

The spelling of 150210432333 in words is "one hundred fifty billion, two hundred ten million, four hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 277 831 2493 3601 10803 32409 4634837 13904511 41713533 60252881 180758643 542275929 1283849849 3851549547 11554648641 16690048037 50070144111 150210432333