Search a number
-
+
2141012412 = 223471185819
BaseRepresentation
bin111111110011101…
…0100000110111100
312112012200200220000
41333213110012330
513341044344122
6552241154300
7104025206460
oct17747240674
95465620800
102141012412
119a9600350
124b902b990
1328174a466
141644c44a0
15c7e690ac
hex7f9d41bc

2141012412 has 120 divisors (see below), whose sum is σ = 6978195840. Its totient is φ = 556100640.

The previous prime is 2141012411. The next prime is 2141012449. The reversal of 2141012412 is 2142101412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141012411) 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 39 ways as a sum of consecutive naturals, for example, 17962 + ... + 67857.

It is an arithmetic number, because the mean of its divisors is an integer number (58151632).

Almost surely, 22141012412 is an apocalyptic number.

2141012412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141012412 is an abundant number, since it is smaller than the sum of its proper divisors (4837183428).

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

2141012412 is a wasteful number, since it uses less digits than its factorization.

2141012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85853 (or 85842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2141012412 is about 46271.0753278979. The cubic root of 2141012412 is about 1288.8619275716.

Adding to 2141012412 its reverse (2142101412), we get a palindrome (4283113824).

The spelling of 2141012412 in words is "two billion, one hundred forty-one million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 85819 171638 257457 343276 514914 600733 772371 944009 1029828 1201466 1544742 1802199 1888018 2317113 2402932 2832027 3089484 3604398 3776036 4634226 5406597 5664054 6608063 6951339 7208796 8496081 9268452 10813194 11328108 13216126 13902678 16219791 16992162 19824189 21626388 25488243 26432252 27805356 32439582 33984324 39648378 48659373 50976486 59472567 64879164 76464729 79296756 97318746 101952972 118945134 152929458 178417701 194637492 237890268 305858916 356835402 535253103 713670804 1070506206 2141012412