Search a number
-
+
1100122010211 = 3731371092231879
BaseRepresentation
bin10000000000100100011…
…000011011001001100011
310220011121101122112021110
4100000210120123021203
5121011022213311321
62201220012354403
7142324022540310
oct20004430331143
93804541575243
101100122010211
11394617216084
12159264775a03
137c983157173
143b363787d07
151d93b552176
hex1002461b263

1100122010211 has 128 divisors (see below), whose sum is σ = 1802528358400. Its totient is φ = 583548986880.

The previous prime is 1100122010177. The next prime is 1100122010219. The reversal of 1100122010211 is 1120102210011.

It is not a de Polignac number, because 1100122010211 - 26 = 1100122010147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100122010219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585481770 + ... + 585483648.

It is an arithmetic number, because the mean of its divisors is an integer number (14082252800).

Almost surely, 21100122010211 is an apocalyptic number.

1100122010211 is a deficient number, since it is larger than the sum of its proper divisors (702406348189).

1100122010211 is a wasteful number, since it uses less digits than its factorization.

1100122010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100122010211 its reverse (1120102210011), we get a palindrome (2220224220222).

The spelling of 1100122010211 in words is "one trillion, one hundred billion, one hundred twenty-two million, ten thousand, two hundred eleven".

Divisors: 1 3 7 21 31 37 93 109 111 217 223 259 327 651 669 763 777 1147 1561 1879 2289 3379 3441 4033 4683 5637 6913 8029 8251 10137 12099 13153 20739 23653 24087 24307 24753 28231 39459 48391 57757 58249 69523 70959 72921 84693 125023 145173 170149 173271 174747 204811 208569 255781 375069 407743 419017 486661 510447 614433 753517 767343 875161 899359 1223229 1257051 1433677 1459983 1790467 2155213 2260551 2625483 2698077 2933119 4301031 5274619 5371401 6295513 6349141 6465639 7578007 8799357 12989527 15086491 15503629 15823857 18886539 19047423 22734021 27880129 38968581 44443987 45259473 45672853 46510887 53046049 83640387 90926689 108525403 133331961 137018559 159138147 195160903 234918217 272780067 319709971 325576209 480612499 585482709 704754651 959129913 1415858443 1441837497 1644427519 1689895561 3364287493 4247575329 4933282557 5069686683 9911009101 10092862479 11829268927 29733027303 35487806781 52386762391 157160287173 366707336737 1100122010211