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2141111304 = 2332211114087
BaseRepresentation
bin111111110011110…
…1100010000001000
312112012212201112200
41333213230100020
513341111030204
6552243240200
7104026101003
oct17747542010
95465781480
102141111304
119a9668682
124b9079060
13281783487
1416450c53a
15c7e88539
hex7f9ec408

2141111304 has 48 divisors (see below), whose sum is σ = 5802001920. Its totient is φ = 713315040.

The previous prime is 2141111303. The next prime is 2141111321. The reversal of 2141111304 is 4031111412.

It is a super-2 number, since 2×21411113042 = 9168715232233160832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141111303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144949 + ... + 159035.

It is an arithmetic number, because the mean of its divisors is an integer number (120875040).

Almost surely, 22141111304 is an apocalyptic number.

2141111304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141111304 is an abundant number, since it is smaller than the sum of its proper divisors (3660890616).

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

2141111304 is a wasteful number, since it uses less digits than its factorization.

2141111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2141111304 is about 46272.1439313114. The cubic root of 2141111304 is about 1288.8817711700.

Adding to 2141111304 its reverse (4031111412), we get a palindrome (6172222716).

It can be divided in two parts, 2141111 and 304, that added together give a triangular number (2141415 = T2069).

The spelling of 2141111304 in words is "two billion, one hundred forty-one million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2111 4222 6333 8444 12666 14087 16888 18999 25332 28174 37998 42261 50664 56348 75996 84522 112696 126783 151992 169044 253566 338088 507132 1014264 29737657 59475314 89212971 118950628 178425942 237901256 267638913 356851884 535277826 713703768 1070555652 2141111304