Search a number
-
+
2201131132101 = 310112714339
BaseRepresentation
bin100000000001111101101…
…000111010010011000101
321210102111121120000000000
4200001331220322103011
5242030404032211401
64403104035111513
7315012036630216
oct40017550722305
97712447500000
102201131132101
11779549160300
122b6716442599
1312c748014585
147876cc9540d
153c3ca8d7186
hex2007da3a4c5

2201131132101 has 132 divisors (see below), whose sum is σ = 3681079708320. Its totient is φ = 1314926751600.

The previous prime is 2201131132099. The next prime is 2201131132127. The reversal of 2201131132101 is 1012311311022.

2201131132101 is a `hidden beast` number, since 2 + 20 + 11 + 311 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 2201131132101 - 21 = 2201131132099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201131132141) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 507287790 + ... + 507292128.

Almost surely, 22201131132101 is an apocalyptic number.

It is an amenable number.

2201131132101 is a deficient number, since it is larger than the sum of its proper divisors (1479948576219).

2201131132101 is an frugal number, since it uses more digits than its factorization.

2201131132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2201131132101 its reverse (1012311311022), we get a palindrome (3213442443123).

The spelling of 2201131132101 in words is "two trillion, two hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 11 27 33 71 81 99 121 213 243 297 363 639 729 781 891 1089 1917 2187 2343 2673 3267 4339 5751 6561 7029 8019 8591 9801 13017 17253 19683 21087 24057 25773 29403 39051 47729 51759 59049 63261 72171 77319 88209 117153 143187 155277 189783 216513 231957 264627 308069 351459 429561 465831 525019 569349 649539 695871 793881 924207 1054377 1288683 1397493 1575057 1708047 2087613 2381643 2772621 3163131 3388759 3866049 4192479 4725171 5124141 6262839 7144929 8317863 9489393 10166277 11598147 14175513 15372423 18788517 24953589 28468179 30498831 34794441 37276349 42526539 46117269 56365551 74860767 85404537 91496493 104383323 111829047 127579617 169096653 224582301 256213611 274489479 313149969 335487141 382738851 507289959 673746903 823468437 939449907 1006461423 1148216553 2021240709 2470405311 2818349721 3019384269 3444649659 6063722127 7411215933 9058152807 10333948977 18191166381 22233647799 27174458421 31001846931 66700943397 81523375263 200102830191 244570125789 733710377367 2201131132101