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131001222201 = 33741791991831
BaseRepresentation
bin111101000000001001…
…0000000010000111001
3110112010200220121021120
41322000102000100321
54121242303102301
6140103042455453
712315222005343
oct1720022002071
9415120817246
10131001222201
11506148581a3
1221480064589
13c47944c0c5
1464aa454293
15361abd6e36
hex1e80480439

131001222201 has 64 divisors (see below), whose sum is σ = 187127808000. Its totient is φ = 81396057600.

The previous prime is 131001222161. The next prime is 131001222217. The reversal of 131001222201 is 102222100131.

It is not a de Polignac number, because 131001222201 - 27 = 131001222073 is a prime.

It is a super-2 number, since 2×1310012222012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001222101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71545356 + ... + 71547186.

It is an arithmetic number, because the mean of its divisors is an integer number (2923872000).

Almost surely, 2131001222201 is an apocalyptic number.

It is an amenable number.

131001222201 is a deficient number, since it is larger than the sum of its proper divisors (56126585799).

131001222201 is a wasteful number, since it uses less digits than its factorization.

131001222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131001222201 its reverse (102222100131), we get a palindrome (233223322332).

The spelling of 131001222201 in words is "one hundred thirty-one billion, one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 37 41 79 111 123 199 237 597 1517 1831 2923 3239 4551 5493 7363 8159 8769 9717 15721 22089 24477 47163 67747 75071 119843 144649 203241 225213 301883 359529 364369 433947 581677 644561 905649 1093107 1745031 1933683 2777627 5352013 5930609 8332881 13481653 14939129 16056039 17791827 23848757 28785151 40444959 44817387 71546271 86355453 219432533 552747773 658297599 1065050587 1180191191 1658243319 3195151761 3540573573 43667074067 131001222201