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2114142033100 = 2252311468346447
BaseRepresentation
bin11110110000111100101…
…011110101010011001100
321111002222012012220120111
4132300330223311103030
5234114230330024400
64255120132525404
7305512260530536
oct36607453652314
97432865186514
102114142033100
1174566a075749
122a1899a80864
13124493c22526
1474479bda856
1539ed8a543ba
hex1ec3caf54cc

2114142033100 has 72 divisors (see below), whose sum is σ = 4736102647808. Its totient is φ = 818304206400.

The previous prime is 2114142033097. The next prime is 2114142033109. The reversal of 2114142033100 is 13302414112.

It is a super-2 number, since 2×21141420331002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2114142033109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45494077 + ... + 45540523.

Almost surely, 22114142033100 is an apocalyptic number.

2114142033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114142033100 is an abundant number, since it is smaller than the sum of its proper divisors (2621960614708).

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

2114142033100 is a wasteful number, since it uses less digits than its factorization.

2114142033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61175 (or 61168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2114142033100 its reverse (13302414112), we get a palindrome (2127444447212).

The spelling of 2114142033100 in words is "two trillion, one hundred fourteen billion, one hundred forty-two million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 14683 29366 46447 58732 73415 92894 146830 185788 232235 293660 367075 455173 464470 734150 910346 928940 1161175 1439857 1468300 1820692 2275865 2322350 2879714 4551730 4644700 5759428 7199285 9103460 11379325 14398570 22758650 28797140 35996425 45517300 71992850 143985700 681981301 1363962602 2727925204 3409906505 6819813010 13639626020 17049532525 21141420331 34099065050 42282840662 68198130100 84565681324 105707101655 211414203310 422828406620 528535508275 1057071016550 2114142033100