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101303201201 = 1734216132269
BaseRepresentation
bin101111001011000100…
…1000010110110110001
3100200110222211211012212
41132112021002312301
53124432104414301
6114312115101505
710214250000626
oct1362611026661
9320428754185
10101303201201
1139a6501a494
12177722a1895
1397257c8807
144c9017634d
15297d85d4bb
hex1796242db1

101303201201 has 16 divisors (see below), whose sum is σ = 102342477840. Its totient is φ = 100270275840.

The previous prime is 101303201191. The next prime is 101303201261. The reversal of 101303201201 is 102102303101.

It can be written as a sum of positive squares in 8 ways, for example, as 49184594176 + 52118607025 = 221776^2 + 228295^2 .

It is a cyclic number.

It is not a de Polignac number, because 101303201201 - 26 = 101303201137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101303201261) 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, 44645495 + ... + 44647763.

It is an arithmetic number, because the mean of its divisors is an integer number (6396404865).

Almost surely, 2101303201201 is an apocalyptic number.

It is an amenable number.

101303201201 is a deficient number, since it is larger than the sum of its proper divisors (1039276639).

101303201201 is a wasteful number, since it uses less digits than its factorization.

101303201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101303201201 its reverse (102102303101), we get a palindrome (203405504302).

The spelling of 101303201201 in words is "one hundred one billion, three hundred three million, two hundred one thousand, two hundred one".

Divisors: 1 173 421 613 2269 72833 106049 258073 392537 955249 1390897 44646629 165258077 240625181 585567637 101303201201