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132213010031 = 1577511121333
BaseRepresentation
bin111101100100010000…
…0100110111001101111
3110122021011002210200022
41323020200212321233
54131233012310111
6140423211352355
712360235020434
oct1731040467157
9418234083608
10132213010031
1151086885343
1221759a526bb
13c61050cb1b
146583371b8b
15368c2a02db
hex1ec8826e6f

132213010031 has 8 divisors (see below), whose sum is σ = 133232420544. Its totient is φ = 131195844000.

The previous prime is 132213009983. The next prime is 132213010051. The reversal of 132213010031 is 130010312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132213010031 is a prime.

It is a super-3 number, since 3×1322130100313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132213009991 and 132213010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213010051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442760 + ... + 678573.

It is an arithmetic number, because the mean of its divisors is an integer number (16654052568).

Almost surely, 2132213010031 is an apocalyptic number.

132213010031 is a deficient number, since it is larger than the sum of its proper divisors (1019410513).

132213010031 is a wasteful number, since it uses less digits than its factorization.

132213010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122241.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 132213010031 its reverse (130010312231), we get a palindrome (262223322262).

The spelling of 132213010031 in words is "one hundred thirty-two billion, two hundred thirteen million, ten thousand, thirty-one".

Divisors: 1 157 751 117907 1121333 176049281 842121083 132213010031