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2141112512 = 26711434479
BaseRepresentation
bin111111110011110…
…1100100011000000
312112012212210012102
41333213230203000
513341111100022
6552243245532
7104026104350
oct17747544300
95465783172
102141112512
119a9669580
124b90798a8
13281783ba6
1416450cb60
15c7e88a92
hex7f9ec8c0

2141112512 has 56 divisors (see below), whose sum is σ = 5297180160. Its totient is φ = 834197760.

The previous prime is 2141112499. The next prime is 2141112521. The reversal of 2141112512 is 2152111412.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 212312 + ... + 222167.

Almost surely, 22141112512 is an apocalyptic number.

2141112512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141112512 is an abundant number, since it is smaller than the sum of its proper divisors (3156067648).

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

2141112512 is a wasteful number, since it uses less digits than its factorization.

2141112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434509 (or 434499 counting only the distinct ones).

The product of its digits is 160, while the sum is 20.

The square root of 2141112512 is about 46272.1569845193. The cubic root of 2141112512 is about 1288.8820135627.

Adding to 2141112512 its reverse (2152111412), we get a palindrome (4293223924).

The spelling of 2141112512 in words is "two billion, one hundred forty-one million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 434479 868958 1737916 3041353 3475832 4779269 6082706 6951664 9558538 12165412 13903328 19117076 24330824 27806656 33454883 38234152 48661648 66909766 76468304 97323296 133819532 152936608 194646592 267639064 305873216 535278128 1070556256 2141112512