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1100010100011 = 329374773137727
BaseRepresentation
bin10000000000011101101…
…101100001010100101011
310220011022121001220100020
4100000131231201110223
5121010310041200021
62201200534011523
7142321163401434
oct20003555412453
93804277056306
101100010100011
1139456a02a309
121592331a6ba3
137c965c03504
143b35297648b
151d9317e87c6
hex1001db6152b

1100010100011 has 128 divisors (see below), whose sum is σ = 1627227463680. Its totient is φ = 659259482112.

The previous prime is 1100010100003. The next prime is 1100010100043.

1100010100011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100010100011 - 23 = 1100010100003 is a prime.

1100010100011 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (1100010100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1513080930 + ... + 1513081656.

It is an arithmetic number, because the mean of its divisors is an integer number (12712714560).

Almost surely, 21100010100011 is an apocalyptic number.

1100010100011 is a deficient number, since it is larger than the sum of its proper divisors (527217363669).

1100010100011 is a wasteful number, since it uses less digits than its factorization.

1100010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 1100010 and 100011, that added together give a palindrome (1200021).

The spelling of 1100010100011 in words is "one trillion, one hundred billion, ten million, one hundred thousand, eleven".

Divisors: 1 3 29 37 47 73 87 111 137 141 219 411 727 1073 1363 1739 2117 2181 2701 3219 3431 3973 4089 5069 5217 6351 6439 8103 10001 10293 11919 15207 19317 21083 26899 30003 34169 50431 53071 63249 78329 80697 99499 99599 102507 126947 147001 151293 159213 186731 234987 238243 290029 298497 298797 370037 380841 441003 470047 560193 714729 780071 870087 990901 1110111 1264253 1410141 1539059 1963627 2340213 2494337 2888371 2972703 3681463 3685163 3792759 4617177 4681153 5890881 6909047 7270727 7483011 8665113 10731073 11044389 11055489 13631363 14043459 17391739 20727141 21812181 32193219 36663337 40894089 52175217 56945183 72335773 92290469 106869727 109990011 135753437 170835549 173202661 210851083 217007319 269016899 276871407 320609181 341724169 407260311 504360431 519607983 632553249 807050697 1025172507 1513081293 2676423601 5022877169 7801490071 8029270803 9910000901 12643794253 15068631507 23404470213 29730002703 37931382759 366670033337 1100010100011