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2123411340 = 2235313313449
BaseRepresentation
bin111111010010000…
…1010111110001100
312110222120110202110
41332210022332030
513322043130330
6550412024020
7103422461421
oct17644127614
95428513673
102123411340
1199a679406
124b3162010
1327abc6c1b
14162021d48
15c663ddb0
hex7e90af8c

2123411340 has 96 divisors (see below), whose sum is σ = 6157670400. Its totient is φ = 546163200.

The previous prime is 2123411317. The next prime is 2123411347. The reversal of 2123411340 is 431143212.

It is not an unprimeable number, because it can be changed into a prime (2123411347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 613936 + ... + 617384.

It is an arithmetic number, because the mean of its divisors is an integer number (64142400).

Almost surely, 22123411340 is an apocalyptic number.

2123411340 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 2123411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078835200).

2123411340 is an abundant number, since it is smaller than the sum of its proper divisors (4034259060).

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

2123411340 is a wasteful number, since it uses less digits than its factorization.

2123411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2123411340 is about 46080.4876276282. The cubic root of 2123411340 is about 1285.3203317529.

Adding to 2123411340 its reverse (431143212), we get a palindrome (2554554552).

The spelling of 2123411340 in words is "two billion, one hundred twenty-three million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 331 372 465 620 662 930 993 1324 1655 1860 1986 3310 3449 3972 4965 6620 6898 9930 10261 10347 13796 17245 19860 20522 20694 30783 34490 41044 41388 51305 51735 61566 68980 102610 103470 106919 123132 153915 205220 206940 213838 307830 320757 427676 534595 615660 641514 1069190 1141619 1283028 1603785 2138380 2283238 3207570 3424857 4566476 5708095 6415140 6849714 11416190 13699428 17124285 22832380 34248570 35390189 68497140 70780378 106170567 141560756 176950945 212341134 353901890 424682268 530852835 707803780 1061705670 2123411340