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101223031011 = 34361118710837
BaseRepresentation
bin101111001000101011…
…1001110000011100011
3100200021101222202101120
41132101113032003203
53124301043443021
6114300132503323
710212254365404
oct1362127160343
9320241882346
10101223031011
1139a23842433
121774b47ab43
139712008b2b
144c836679ab
1529767c42c6
hex17915ce0e3

101223031011 has 32 divisors (see below), whose sum is σ = 140497936128. Its totient is φ = 64771539840.

The previous prime is 101223031009. The next prime is 101223031051. The reversal of 101223031011 is 110130322101.

It is a happy number.

It is not a de Polignac number, because 101223031011 - 21 = 101223031009 is a prime.

It is a super-2 number, since 2×1012230310112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101223031051) 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, 9335085 + ... + 9345921.

It is an arithmetic number, because the mean of its divisors is an integer number (4390560504).

Almost surely, 2101223031011 is an apocalyptic number.

101223031011 is a deficient number, since it is larger than the sum of its proper divisors (39274905117).

101223031011 is a wasteful number, since it uses less digits than its factorization.

101223031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101223031011 its reverse (110130322101), we get a palindrome (211353353112).

The spelling of 101223031011 in words is "one hundred one billion, two hundred twenty-three million, thirty-one thousand, eleven".

Divisors: 1 3 43 61 129 183 1187 2623 3561 7869 10837 32511 51041 72407 153123 217221 465991 661057 1397973 1983171 3113501 9340503 12863519 28425451 38590557 85276353 553131317 784674659 1659393951 2354023977 33741010337 101223031011