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2123034420 = 22351310924971
BaseRepresentation
bin111111010001010…
…1110111100110100
312110221212022201110
41332202232330310
513321444100140
6550355555020
7103416331503
oct17642567464
95427768643
102123034420
1199a441201
124b2bbba70
1327aac44b0
14161d6483a
15c65b7380
hex7e8aef34

2123034420 has 96 divisors (see below), whose sum is σ = 6460755840. Its totient is φ = 517777920.

The previous prime is 2123034379. The next prime is 2123034421. The reversal of 2123034420 is 244303212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123034421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72535 + ... + 97505.

It is an arithmetic number, because the mean of its divisors is an integer number (67299540).

Almost surely, 22123034420 is an apocalyptic number.

2123034420 is a gapful number since it is divisible by the number (20) 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 2123034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230377920).

2123034420 is an abundant number, since it is smaller than the sum of its proper divisors (4337721420).

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

2123034420 is a wasteful number, since it uses less digits than its factorization.

2123034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2123034420 is about 46076.3976456493. The cubic root of 2123034420 is about 1285.2442762099.

Adding to 2123034420 its reverse (244303212), we get a palindrome (2367337632).

The spelling of 2123034420 in words is "two billion, one hundred twenty-three million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 24971 28340 42510 49942 74913 85020 99884 124855 149826 249710 299652 324623 374565 499420 649246 749130 973869 1298492 1498260 1623115 1947738 2721839 3246230 3895476 4869345 5443678 6492460 8165517 9738690 10887356 13609195 16331034 19477380 27218390 32662068 35383907 40827585 54436780 70767814 81655170 106151721 141535628 163310340 176919535 212303442 353839070 424606884 530758605 707678140 1061517210 2123034420