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101100233221 = 1315535007689
BaseRepresentation
bin101111000101000001…
…0110010001000000101
3100122221211220222111021
41132022002302020011
53124023124430341
6114240024511141
710206233542351
oct1361202621005
9318854828437
10101100233221
113997049a659
121771631b4b1
1396c2742610
144c71220461
15296ab199d1
hex178a0b2205

101100233221 has 8 divisors (see below), whose sum is σ = 108947303640. Its totient is φ = 93263181312.

The previous prime is 101100233207. The next prime is 101100233261. The reversal of 101100233221 is 122332001101.

It can be written as a sum of positive squares in 4 ways, for example, as 4138992225 + 96961240996 = 64335^2 + 311386^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101100233221 - 213 = 101100225029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100233195 and 101100233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100233261) 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, 2483656 + ... + 2524033.

It is an arithmetic number, because the mean of its divisors is an integer number (13618412955).

Almost surely, 2101100233221 is an apocalyptic number.

It is an amenable number.

101100233221 is a deficient number, since it is larger than the sum of its proper divisors (7847070419).

101100233221 is a wasteful number, since it uses less digits than its factorization.

101100233221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009255.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101100233221 its reverse (122332001101), we get a palindrome (223432234322).

The spelling of 101100233221 in words is "one hundred one billion, one hundred million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 13 1553 20189 5007689 65099957 7776941017 101100233221