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1001101111197 = 3111131374794091
BaseRepresentation
bin11101001000101100100…
…01101010111110011101
310112201000110100200002020
432210112101222332131
5112400223341024242
62043522143050353
7132220135020525
oct16442621527635
93481013320066
101001101111197
1135662352a050
1214202a8a09b9
1373532448225
143664c794685
151b09326b6ec
hexe91646af9d

1001101111197 has 64 divisors (see below), whose sum is σ = 1483207925760. Its totient is φ = 595577292800.

The previous prime is 1001101111189. The next prime is 1001101111259. The reversal of 1001101111197 is 7911111011001.

It is a cyclic number.

It is not a de Polignac number, because 1001101111197 - 23 = 1001101111189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101111117) 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, 244706122 + ... + 244710212.

It is an arithmetic number, because the mean of its divisors is an integer number (23175123840).

Almost surely, 21001101111197 is an apocalyptic number.

It is an amenable number.

1001101111197 is a deficient number, since it is larger than the sum of its proper divisors (482106814563).

1001101111197 is a wasteful number, since it uses less digits than its factorization.

1001101111197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834.

The product of its (nonzero) digits is 63, while the sum is 24.

Adding to 1001101111197 its reverse (7911111011001), we get a palindrome (8912212122198).

The spelling of 1001101111197 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred ninety-seven".

Divisors: 1 3 11 33 113 137 339 411 479 1243 1437 1507 3729 4091 4521 5269 12273 15481 15807 45001 46443 54127 65623 135003 162381 170291 196869 462283 510873 560467 595397 721853 1386849 1681401 1786191 1959589 2165559 5085113 5878767 6165137 7415399 15255339 18495411 21555479 22246197 63332771 64666437 81569389 189998313 221433557 244708167 268463693 664300671 696660481 805391079 2089981443 2435769127 2953100623 7307307381 8859301869 30336397309 91009191927 333700370399 1001101111197