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2123002024 = 23111317173631
BaseRepresentation
bin111111010001010…
…0111000010101000
312110221210200021121
41332202213002220
513321442031044
6550355145024
7103416135163
oct17642470250
95427720247
102123002024
1199a419930
124b2ba5174
1327aab2820
14161d56ada
15c65ac984
hex7e8a70a8

2123002024 has 128 divisors (see below), whose sum is σ = 4988148480. Its totient is φ = 832204800.

The previous prime is 2123002019. The next prime is 2123002073. The reversal of 2123002024 is 4202003212.

It is a junction number, because it is equal to n+sod(n) for n = 2123001989 and 2123002007.

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, 3364189 + ... + 3364819.

It is an arithmetic number, because the mean of its divisors is an integer number (38969910).

Almost surely, 22123002024 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 2123002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494074240).

2123002024 is an abundant number, since it is smaller than the sum of its proper divisors (2865146456).

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

2123002024 is a wasteful number, since it uses less digits than its factorization.

2123002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2123002024 is about 46076.0460977285. The cubic root of 2123002024 is about 1285.2377388712.

Adding to 2123002024 its reverse (4202003212), we get a palindrome (6325005236).

The spelling of 2123002024 in words is "two billion, one hundred twenty-three million, two thousand, twenty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 173 187 221 286 346 374 442 572 631 692 748 884 1144 1262 1384 1496 1768 1903 2249 2431 2524 2941 3806 4498 4862 5048 5882 6941 7612 8203 8996 9724 10727 11764 13882 15224 16406 17992 19448 21454 23528 24739 27764 32351 32812 38233 42908 49478 55528 64702 65624 76466 85816 90233 98956 109163 117997 129404 139451 152932 180466 197912 218326 235994 258808 278902 305864 360932 420563 436652 471988 557804 721864 841126 873304 943976 1115608 1200793 1419119 1533961 1682252 1855771 2401586 2838238 3067922 3364504 3711542 4803172 5676476 6135844 7423084 9606344 11352952 12271688 14846168 15610309 20413481 24125023 31220618 40826962 48250046 62441236 81653924 96500092 124882472 163307848 193000184 265375253 530750506 1061501012 2123002024