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101002032221 = 1710163679239
BaseRepresentation
bin101111000010000110…
…0001011010001011101
3100122201000010212001012
41132010030023101131
53123323010012341
6114222200025005
710203632052146
oct1360414132135
9318630125035
10101002032221
1139920017802
12176a9462165
1396a82ab90c
144c6217aacd
1529621bd0eb
hex178430b45d

101002032221 has 16 divisors (see below), whose sum is σ = 108030827520. Its totient is φ = 94094572800.

The previous prime is 101002032181. The next prime is 101002032251. The reversal of 101002032221 is 122230200101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101002032221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002032196 and 101002032205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002032251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10927520 + ... + 10936758.

It is an arithmetic number, because the mean of its divisors is an integer number (6751926720).

Almost surely, 2101002032221 is an apocalyptic number.

It is an amenable number.

101002032221 is a deficient number, since it is larger than the sum of its proper divisors (7028795299).

101002032221 is a wasteful number, since it uses less digits than its factorization.

101002032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15724.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101002032221 its reverse (122230200101), we get a palindrome (223232232322).

The spelling of 101002032221 in words is "one hundred one billion, two million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 17 101 1717 6367 9239 108239 157063 643067 933139 10932139 15863363 58824713 1000020121 5941296013 101002032221