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99900900900999 = 3211103127157491353
BaseRepresentation
bin10110101101101111111101…
…101101100000000010000111
3111002201102200112212200212200
4112231233331231200002013
5101043234021112312444
6552245501301045543
730020413311534252
oct2655577555400207
9432642615780780
1099900900900999
1129916809169360
12b2555696b68b3
1343987cb187023
141a9532d6a4099
15b839b96dd969
hex5adbfdb60087

99900900900999 has 96 divisors (see below), whose sum is σ = 161220212834304. Its totient is φ = 59107051261440.

The previous prime is 99900900900979. The next prime is 99900900901027.

99900900900999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99900900900999 - 25 = 99900900900967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99900900900949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203072307 + ... + 203563659.

It is an arithmetic number, because the mean of its divisors is an integer number (1679377217024).

Almost surely, 299900900900999 is an apocalyptic number.

99900900900999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99900900900999 is a deficient number, since it is larger than the sum of its proper divisors (61319311933305).

99900900900999 is a wasteful number, since it uses less digits than its factorization.

99900900900999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491757 (or 491754 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 99900900900999 in words is "ninety-nine trillion, nine hundred billion, nine hundred million, nine hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 103 127 157 309 381 471 927 1133 1143 1397 1413 1727 3399 4191 5181 10197 12573 13081 15543 16171 19939 39243 48513 59817 117729 143891 145539 177881 179451 219329 431673 491353 533643 657987 1295019 1474059 1600929 1973961 2053717 4422177 5404883 6161151 16214649 18483453 22590887 48643947 50609359 62401831 67772661 77142421 151828077 187205493 203317983 231427263 455484231 556702949 561616479 686420141 694281789 848566631 1670108847 2059260423 2545699893 5010326541 6177781269 6427388593 7637099679 7945669363 9797087467 19282165779 23837008089 29391262401 57846497337 70701274523 71511024267 87402362993 88173787203 107767962137 212103823569 262207088979 323303886411 636311470707 786621266937 969911659233 1009100009101 3027300027303 9081900081909 11100100100111 33300300300333 99900900900999