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101001300434331 = 3113359911177573
BaseRepresentation
bin10110111101110000110010…
…101000100101110110011011
3111020121122000021201212022020
4112331300302220211312123
5101214301130402344311
6554451205030025523
730163050244331103
oct2675606250456633
9436548007655266
10101001300434331
112a200457aa6690
12b3b288b1a82a3
1344484c696c34b
141ad26bbc50203
15ba24202aec06
hex5bdc32a25d9b

101001300434331 has 16 divisors (see below), whose sum is σ = 146954719134720. Its totient is φ = 61194685735520.

The previous prime is 101001300434249. The next prime is 101001300434351. The reversal of 101001300434331 is 133434003100101.

It is a cyclic number.

It is not a de Polignac number, because 101001300434331 - 29 = 101001300433819 is a prime.

It is a super-2 number, since 2×1010013004343312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001300434351) 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, 455477940 + ... + 455699633.

It is an arithmetic number, because the mean of its divisors is an integer number (9184669945920).

Almost surely, 2101001300434331 is an apocalyptic number.

101001300434331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001300434331 is a deficient number, since it is larger than the sum of its proper divisors (45953418700389).

101001300434331 is a wasteful number, since it uses less digits than its factorization.

101001300434331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911180946.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101001300434331 its reverse (133434003100101), we get a palindrome (234435303534432).

The spelling of 101001300434331 in words is "one hundred one trillion, one billion, three hundred million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 3359 10077 36949 110847 911177573 2733532719 10022953303 30068859909 3060645467707 9181936403121 33667100144777 101001300434331