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101321213 = 753793457
BaseRepresentation
bin1100000101000…
…00100111111101
321001122122120112
412002200213331
5201414234323
614015355405
72340134060
oct602404775
9231578515
10101321213
1152214144
1229b22b65
1317cb6ca6
14d6568d7
158d66178
hex60a09fd

101321213 has 16 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 84105216.

The previous prime is 101321197. The next prime is 101321221. The reversal of 101321213 is 312123101.

It is a cyclic number.

It is not a de Polignac number, because 101321213 - 24 = 101321197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27581 + ... + 31037.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2101321213 is an apocalyptic number.

It is an amenable number.

101321213 is a deficient number, since it is larger than the sum of its proper divisors (18187267).

101321213 is an equidigital number, since it uses as much as digits as its factorization.

101321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101321213 is about 10065.8438791787. The cubic root of 101321213 is about 466.1941220618.

Adding to 101321213 its reverse (312123101), we get a palindrome (413444314).

The spelling of 101321213 in words is "one hundred one million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 7 53 79 371 553 3457 4187 24199 29309 183221 273103 1282547 1911721 14474459 101321213