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2914111002 = 231124618707
BaseRepresentation
bin1010110110110001…
…1100111000011010
321112002102011210010
42231230130320122
521432003023002
61201055302350
7132133351305
oct25554347032
97462364703
102914111002
111265a37800
12693b1a9b6
1337597184a
141d9049b3c
15120c7a46c
hexadb1ce1a

2914111002 has 48 divisors (see below), whose sum is σ = 6420861216. Its totient is φ = 881047200.

The previous prime is 2914110973. The next prime is 2914111043. The reversal of 2914111002 is 2001114192.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2914111002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 330333 + ... + 339039.

It is an arithmetic number, because the mean of its divisors is an integer number (133767942).

Almost surely, 22914111002 is an apocalyptic number.

2914111002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2914111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210430608).

2914111002 is an abundant number, since it is smaller than the sum of its proper divisors (3506750214).

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

2914111002 is a wasteful number, since it uses less digits than its factorization.

2914111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2914111002 is about 53982.5064442176. The cubic root of 2914111002 is about 1428.3523824558.

Adding to 2914111002 its reverse (2001114192), we get a palindrome (4915225194).

The spelling of 2914111002 in words is "two billion, nine hundred fourteen million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 461 726 922 1383 2766 5071 8707 10142 15213 17414 26121 30426 52242 55781 95777 111562 167343 191554 287331 334686 574662 1053547 2107094 3160641 4013927 6321282 8027854 12041781 24083562 44153197 88306394 132459591 264919182 485685167 971370334 1457055501 2914111002