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2123111304 = 2333101307317
BaseRepresentation
bin111111010001100…
…0001101110001000
312110222000020012000
41332203001232020
513322004030204
6550401351000
7103420101606
oct17643015610
95428006160
102123111304
1199a493a46
124b3038460
1327ab204a2
14161d84876
15c65d0039
hex7e8c1b88

2123111304 has 128 divisors (see below), whose sum is σ = 5994172800. Its totient is φ = 696211200.

The previous prime is 2123111297. The next prime is 2123111311. The reversal of 2123111304 is 4031113212.

It is an interprime number because it is at equal distance from previous prime (2123111297) and next prime (2123111311).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6697354 + ... + 6697670.

It is an arithmetic number, because the mean of its divisors is an integer number (46829475).

Almost surely, 22123111304 is an apocalyptic number.

2123111304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997086400).

2123111304 is an abundant number, since it is smaller than the sum of its proper divisors (3871061496).

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

2123111304 is a wasteful number, since it uses less digits than its factorization.

2123111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2123111304 is about 46077.2319481108. The cubic root of 2123111304 is about 1285.2597907218.

Adding to 2123111304 its reverse (4031113212), we get a palindrome (6154224516).

The spelling of 2123111304 in words is "two billion, one hundred twenty-three million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 307 317 404 606 614 634 808 909 921 951 1212 1228 1268 1818 1842 1902 2424 2456 2536 2727 2763 2853 3636 3684 3804 5454 5526 5706 7272 7368 7608 8289 8559 10908 11052 11412 16578 17118 21816 22104 22824 31007 32017 33156 34236 62014 64034 66312 68472 93021 96051 97319 124028 128068 186042 192102 194638 248056 256136 279063 288153 291957 372084 384204 389276 558126 576306 583914 744168 768408 778552 837189 864459 875871 1116252 1152612 1167828 1674378 1728918 1751742 2232504 2305224 2335656 2627613 3348756 3457836 3503484 5255226 6697512 6915672 7006968 9829219 10510452 19658438 21020904 29487657 39316876 58975314 78633752 88462971 117950628 176925942 235901256 265388913 353851884 530777826 707703768 1061555652 2123111304