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101001022011 = 3343591474489
BaseRepresentation
bin101111000010000100…
…0010100101000111011
3100122200221020112022000
41132010020110220323
53123322230201021
6114222122232043
710203620344011
oct1360410245073
9318627215260
10101001022011
113991a49781a
12176a9055623
1396a8016b66
144c61d968b1
15296206db26
hex1784214a3b

101001022011 has 32 divisors (see below), whose sum is σ = 155706144000. Its totient is φ = 64653349824.

The previous prime is 101001021991. The next prime is 101001022037. The reversal of 101001022011 is 110220100101.

It is a happy number.

It is not a de Polignac number, because 101001022011 - 222 = 100996827707 is a prime.

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 = 101001021984 and 101001022002.

It is not an unprimeable number, because it can be changed into a prime (101001022711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668746 + ... + 805743.

It is an arithmetic number, because the mean of its divisors is an integer number (4865817000).

Almost surely, 2101001022011 is an apocalyptic number.

101001022011 is a deficient number, since it is larger than the sum of its proper divisors (54705121989).

101001022011 is a wasteful number, since it uses less digits than its factorization.

101001022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474600 (or 1474594 counting only the distinct ones).

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

Adding to 101001022011 its reverse (110220100101), we get a palindrome (211221122112).

The spelling of 101001022011 in words is "one hundred one billion, one million, twenty-two thousand, eleven".

Divisors: 1 3 9 27 43 59 129 177 387 531 1161 1593 2537 7611 22833 68499 1474489 4423467 13270401 39811203 63403027 86994851 190209081 260984553 570627243 782953659 1711881729 2348860977 3740778593 11222335779 33667007337 101001022011