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101004203200431 = 3531099619605879
BaseRepresentation
bin10110111101110011011111…
…101001110000111110101111
3111020121220111120210122210210
4112331303133221300332233
5101214323102004403211
6554452405042233503
730163212212412036
oct2675633751607657
9436556446718723
10101004203200431
112a201707594833
12b3b335b355893
13444886a16b11b
141ad28b558571d
15ba25400489a6
hex5bdcdfa70faf

101004203200431 has 32 divisors (see below), whose sum is σ = 138486718656000. Its totient is φ = 65452622272128.

The previous prime is 101004203200403. The next prime is 101004203200463. The reversal of 101004203200431 is 134002302400101.

It is not a de Polignac number, because 101004203200431 - 213 = 101004203192239 is a prime.

It is a super-2 number, since 2×1010042032004312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101004203200398 and 101004203200407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004203200031) 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, 166403950 + ... + 167009828.

It is an arithmetic number, because the mean of its divisors is an integer number (4327709958000).

Almost surely, 2101004203200431 is an apocalyptic number.

101004203200431 is a deficient number, since it is larger than the sum of its proper divisors (37482515455569).

101004203200431 is a wasteful number, since it uses less digits than its factorization.

101004203200431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615663.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101004203200431 its reverse (134002302400101), we get a palindrome (235006505600532).

The spelling of 101004203200431 in words is "one hundred one trillion, four billion, two hundred three million, two hundred thousand, four hundred thirty-one".

Divisors: 1 3 53 109 159 327 5777 9619 17331 28857 509807 605879 1048471 1529421 1817637 3145413 32111587 55568963 66040811 96334761 166706889 198122433 3500162983 5827950101 10500488949 17483850303 308881355353 635246561009 926644066059 1905739683027 33668067733477 101004203200431