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101011110001011 = 32747129126424361
BaseRepresentation
bin10110111101111001111011…
…010101000111100101110011
3111020122120022221011111000200
4112331321323111013211303
5101214431223130013021
6554455510251050243
730163545320301630
oct2675717325074563
9436576287144020
10101011110001011
112a204631272291
12b3b4768440983
1344493cb071a82
141ad2d6c9a1187
15ba27e65a3126
hex5bde7b547973

101011110001011 has 48 divisors (see below), whose sum is σ = 170428256314368. Its totient is φ = 56448774806400.

The previous prime is 101011110000991. The next prime is 101011110001049. The reversal of 101011110001011 is 110100011110101.

It is not a de Polignac number, because 101011110001011 - 26 = 101011110000947 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 = 101011110000984 and 101011110001002.

It is not an unprimeable number, because it can be changed into a prime (101011110001511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9389530 + ... + 17034831.

It is an arithmetic number, because the mean of its divisors is an integer number (3550588673216).

Almost surely, 2101011110001011 is an apocalyptic number.

101011110001011 is a deficient number, since it is larger than the sum of its proper divisors (69417146313357).

101011110001011 is a wasteful number, since it uses less digits than its factorization.

101011110001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26425712 (or 26425709 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011110001011 its reverse (110100011110101), we get a palindrome (211111121111112).

The spelling of 101011110001011 in words is "one hundred one trillion, eleven billion, one hundred ten million, one thousand, eleven".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 1291 2961 3873 9037 11619 27111 60677 81333 182031 424739 546093 1274217 3822651 26424361 79273083 184970527 237819249 554911581 1241944967 1664734743 3725834901 8693614769 11177504703 26080844307 34113850051 78242532921 102341550153 238796950357 307024650459 716390851071 1603350952397 2149172553213 4810052857191 11223456666779 14430158571573 33670370000337 101011110001011