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999990099999 = 321141271909091
BaseRepresentation
bin11101000110101000000…
…11100000000000011111
310112121011000210110020100
432203110003200000133
5112340434431144444
62043220014152143
7132150454414032
oct16432403400037
93477130713210
10999990099999
11356103383980
1214197a7b2653
13733b6210657
1436584dcb019
151b02a95ce69
hexe8d40e001f

999990099999 has 48 divisors (see below), whose sum is σ = 1620132853248. Its totient is φ = 589090320000.

The previous prime is 999990099973. The next prime is 999990100001.

999990099999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 999990099999 - 217 = 999989968927 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999990097999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645444 + ... + 1554534.

It is an arithmetic number, because the mean of its divisors is an integer number (33752767776).

Almost surely, 2999990099999 is an apocalyptic number.

999990099999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

999990099999 is a deficient number, since it is larger than the sum of its proper divisors (620142753249).

999990099999 is a wasteful number, since it uses less digits than its factorization.

999990099999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909420 (or 909417 counting only the distinct ones).

The product of its (nonzero) digits is 3486784401, while the sum is 90.

It can be divided in two parts, 9999900 and 99999, that multiplied together give a square (999980000100 = 9999902).

The spelling of 999990099999 in words is "nine hundred ninety-nine billion, nine hundred ninety million, ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 41 99 123 271 369 451 813 1353 2439 2981 4059 8943 11111 26829 33333 99999 122221 366663 909091 1099989 2727273 8181819 10000001 30000003 37272731 90000009 111818193 246363661 335454579 410000041 739090983 1230000123 2217272949 2710000271 3690000369 8130000813 10100910101 24390002439 30302730303 90908190909 111110011111 333330033333 999990099999