Search a number
-
+
990990099099 = 32711313909091
BaseRepresentation
bin11100110101110111001…
…11001110001010011011
310111201220210201000222200
432122323213032022123
5112214021431132344
62035130553021243
7131411441600250
oct16327347161233
93451823630880
10990990099099
11352305092000
121400886b4823
13725b075cb30
1435d6d9b5427
151aba0781069
hexe6bb9ce29b

990990099099 has 96 divisors (see below), whose sum is σ = 1937805961728. Its totient is φ = 475199524800.

The previous prime is 990990099091. The next prime is 990990099133.

990990099099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 990990099099 - 23 = 990990099091 is a prime.

It is a super-2 number, since 2×9909900990992 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990990099091) 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, 635544 + ... + 1544634.

It is an arithmetic number, because the mean of its divisors is an integer number (20185478768).

Almost surely, 2990990099099 is an apocalyptic number.

990990099099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

990990099099 is a deficient number, since it is larger than the sum of its proper divisors (946815862629).

990990099099 is a wasteful number, since it uses less digits than its factorization.

990990099099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909150 (or 909125 counting only the distinct ones).

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

It can be divided in two parts, 9909900 and 99099, that multiplied together give a square (982061180100 = 9909902).

The spelling of 990990099099 in words is "nine hundred ninety billion, nine hundred ninety million, ninety-nine thousand, ninety-nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1331 1573 2541 3003 3993 4719 7623 9009 9317 11011 11979 14157 17303 27951 33033 51909 83853 99099 121121 155727 363363 909091 1090089 2727273 6363637 8181819 10000001 11818183 19090911 30000003 35454549 57272733 70000007 82727281 90000009 106363647 110000011 130000013 210000021 248181843 330000033 390000039 630000063 744545529 770000077 910000091 990000099 1170000117 1210000121 1430000143 2310000231 2730000273 3630000363 4290000429 6930000693 8190000819 8470000847 10010001001 10890001089 12870001287 15730001573 25410002541 30030003003 47190004719 76230007623 90090009009 110110011011 141570014157 330330033033 990990099099