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101032011021 = 3296720818329
BaseRepresentation
bin101111000010111111…
…0100010010100001101
3100122210002112221020010
41132011332202110031
53123403143323041
6114225150343433
710204444631664
oct1360576422415
9318702487203
10101032011021
1139935a33277
12176b74bab79
1396b1577056
144c66141ddb
152964b40a16
hex1785fa250d

101032011021 has 32 divisors (see below), whose sum is σ = 141519369600. Its totient is φ = 64022999040.

The previous prime is 101032010983. The next prime is 101032011029. The reversal of 101032011021 is 120110230101.

It is not a de Polignac number, because 101032011021 - 221 = 101029913869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101032010988 and 101032011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12125985 + ... + 12134313.

It is an arithmetic number, because the mean of its divisors is an integer number (4422480300).

Almost surely, 2101032011021 is an apocalyptic number.

It is an amenable number.

101032011021 is a deficient number, since it is larger than the sum of its proper divisors (40487358579).

101032011021 is a wasteful number, since it uses less digits than its factorization.

101032011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101032011021 its reverse (120110230101), we get a palindrome (221142241122).

The spelling of 101032011021 in words is "one hundred one billion, thirty-two million, eleven thousand, twenty-one".

Divisors: 1 3 29 67 87 201 1943 2081 5829 6243 8329 24987 60349 139427 181047 241541 418281 558043 724623 1674129 4043383 12130149 16183247 17332649 48549741 51997947 502646821 1161287483 1507940463 3483862449 33677337007 101032011021