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2131401120 = 25354794477
BaseRepresentation
bin111111100001010…
…1001100110100000
312111112121101200020
41333002221212200
513331114313440
6551255153440
7103550416302
oct17702514640
95445541606
102131401120
119a4136232
124b5975880
1327c7637c4
14163101972
15c71bb3d0
hex7f0a99a0

2131401120 has 96 divisors (see below), whose sum is σ = 6856835328. Its totient is φ = 556274688.

The previous prime is 2131401067. The next prime is 2131401121. The reversal of 2131401120 is 211041312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131401120.

It is not an unprimeable number, because it can be changed into a prime (2131401121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24679 + ... + 69798.

It is an arithmetic number, because the mean of its divisors is an integer number (71425368).

Almost surely, 22131401120 is an apocalyptic number.

2131401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131401120 is an abundant number, since it is smaller than the sum of its proper divisors (4725434208).

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

2131401120 is a wasteful number, since it uses less digits than its factorization.

2131401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94542 (or 94534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131401120 is about 46167.0999738992. The cubic root of 2131401120 is about 1286.9304096898.

Adding to 2131401120 its reverse (211041312), we get a palindrome (2342442432).

The spelling of 2131401120 in words is "two billion, one hundred thirty-one million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 94477 188954 283431 377908 472385 566862 755816 944770 1133724 1417155 1511632 1889540 2267448 2834310 3023264 3779080 4440419 4534896 5668620 7558160 8880838 9069792 11337240 13321257 15116320 17761676 22202095 22674480 26642514 35523352 44404190 45348960 53285028 66606285 71046704 88808380 106570056 133212570 142093408 177616760 213140112 266425140 355233520 426280224 532850280 710467040 1065700560 2131401120