Search a number
-
+
2002111100192 = 257223371500419
BaseRepresentation
bin11101001000100111000…
…111101111010100100000
321002101210120020212000002
4131020213013233110200
5230300310420201232
64131431313115132
7264435115363100
oct35104707572440
97071716225002
102002111100192
117020aa580695
12284032b58aa8
13116a4ba3a798
146cc8cdc9200
153712d4d8b62
hex1d2271ef520

2002111100192 has 144 divisors (see below), whose sum is σ = 4913863496640. Its totient is φ = 798558469632.

The previous prime is 2002111100191. The next prime is 2002111100203. The reversal of 2002111100192 is 2910011112002.

It is not an unprimeable number, because it can be changed into a prime (2002111100191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584159 + ... + 2084577.

It is an arithmetic number, because the mean of its divisors is an integer number (34124052060).

Almost surely, 22002111100192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002111100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456931748320).

2002111100192 is an abundant number, since it is smaller than the sum of its proper divisors (2911752396448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002111100192 is a wasteful number, since it uses less digits than its factorization.

2002111100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500503 (or 1500488 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 2002111100192 its reverse (2910011112002), we get a palindrome (4912122212194).

The spelling of 2002111100192 in words is "two trillion, two billion, one hundred eleven million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 49 56 74 92 98 112 148 161 184 196 224 259 296 322 368 392 518 592 644 736 784 851 1036 1127 1184 1288 1568 1702 1813 2072 2254 2576 3404 3626 4144 4508 5152 5957 6808 7252 8288 9016 11914 13616 14504 18032 23828 27232 29008 36064 41699 47656 58016 83398 95312 166796 190624 333592 667184 1334368 1500419 3000838 6001676 10502933 12003352 21005866 24006704 34509637 42011732 48013408 55515503 69019274 73520531 84023464 111031006 138038548 147041062 168046928 222062012 241567459 276077096 294082124 336093856 388608521 444124024 483134918 552154192 588164248 777217042 888248048 966269836 1104308384 1176328496 1276856569 1554434084 1690972213 1776496096 1932539672 2352656992 2553713138 2720259647 3108868168 3381944426 3865079344 5107426276 5440519294 6217736336 6763888852 7730158688 8937995983 10214852552 10881038588 12435472672 13527777704 17875991966 20429705104 21762077176 27055555408 35751983932 40859410208 43524154352 54111110816 62565971881 71503967864 87048308704 125131943762 143007935728 250263887524 286015871456 500527775048 1001055550096 2002111100192