Search a number
-
+
2101342440 = 233531678431
BaseRepresentation
bin111110100111111…
…1111000011101000
312102110001020220210
41331033333003220
513300420424230
6544303021120
7103034054541
oct17517770350
95373036823
102101342440
1198917574a
124a789a7a0
1327646abc2
1415d1194c8
15c472eeb0
hex7d3ff0e8

2101342440 has 128 divisors (see below), whose sum is σ = 6605291520. Its totient is φ = 534124800.

The previous prime is 2101342433. The next prime is 2101342499. The reversal of 2101342440 is 442431012.

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, 245025 + ... + 253455.

It is an arithmetic number, because the mean of its divisors is an integer number (51603840).

Almost surely, 22101342440 is an apocalyptic number.

2101342440 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 2101342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302645760).

2101342440 is an abundant number, since it is smaller than the sum of its proper divisors (4503949080).

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

2101342440 is a wasteful number, since it uses less digits than its factorization.

2101342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8543 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2101342440 is about 45840.4018306995. The cubic root of 2101342440 is about 1280.8519799888.

Adding to 2101342440 its reverse (442431012), we get a palindrome (2543773452).

The spelling of 2101342440 in words is "two billion, one hundred one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 536 620 670 744 804 930 1005 1240 1340 1608 1860 2010 2077 2680 3720 4020 4154 6231 8040 8308 8431 10385 12462 16616 16862 20770 24924 25293 31155 33724 41540 42155 49848 50586 62310 67448 83080 84310 101172 124620 126465 168620 202344 249240 252930 261361 337240 505860 522722 564877 784083 1011720 1045444 1129754 1306805 1568166 1694631 2090888 2259508 2613610 2824385 3136332 3389262 3920415 4519016 5227220 5648770 6272664 6778524 7840830 8473155 10454440 11297540 13557048 15681660 16946310 17511187 22595080 31363320 33892620 35022374 52533561 67785240 70044748 87555935 105067122 140089496 175111870 210134244 262667805 350223740 420268488 525335610 700447480 1050671220 2101342440