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101022001011 = 3328403131731
BaseRepresentation
bin101111000010101100…
…0010110011101110011
3100122202101201101002000
41132011120112131303
53123343113013021
6114224152025043
710204263561201
oct1360530263563
9318671641060
10101022001011
1139930316638
12176b4092183
1396ac480a79
144c64a98071
152963d14b26
hex1785616773

101022001011 has 16 divisors (see below), whose sum is σ = 149668629120. Its totient is φ = 67345118280.

The previous prime is 101022001009. The next prime is 101022001039. The reversal of 101022001011 is 110100220101.

It is a happy number.

It is not a de Polignac number, because 101022001011 - 21 = 101022001009 is a prime.

It is a super-3 number, since 3×1010220010113 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101022000984 and 101022001002.

It is not an unprimeable number, because it can be changed into a prime (101022001111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701016 + ... + 832746.

It is an arithmetic number, because the mean of its divisors is an integer number (9354289320).

Almost surely, 2101022001011 is an apocalyptic number.

101022001011 is a deficient number, since it is larger than the sum of its proper divisors (48646628109).

101022001011 is a wasteful number, since it uses less digits than its factorization.

101022001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160143 (or 160137 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101022001011 its reverse (110100220101), we get a palindrome (211122221112).

The spelling of 101022001011 in words is "one hundred one billion, twenty-two million, one thousand, eleven".

Divisors: 1 3 9 27 28403 85209 131731 255627 395193 766881 1185579 3556737 3741555593 11224666779 33674000337 101022001011