Search a number
-
+
21142020000 = 25354352367
BaseRepresentation
bin10011101100001010…
…011001111110100000
32000120102102220011210
4103230022121332200
5321244324120000
613413522510120
71345630130163
oct235412317640
960512386153
1021142020000
118a6a134602
124120505340
131cbc17b70a
141047c41ada
1583b152350
hex4ec299fa0

21142020000 has 120 divisors (see below), whose sum is σ = 69350250816. Its totient is φ = 5637856000.

The previous prime is 21142019963. The next prime is 21142020007. The reversal of 21142020000 is 2024112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21142020007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 116184 + ... + 236183.

Almost surely, 221142020000 is an apocalyptic number.

21142020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142020000 is an abundant number, since it is smaller than the sum of its proper divisors (48208230816).

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

21142020000 is an equidigital number, since it uses as much as digits as its factorization.

21142020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352400 (or 352377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21142020000 its reverse (2024112), we get a palindrome (21144044112).

The spelling of 21142020000 in words is "twenty-one billion, one hundred forty-two million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 352367 704734 1057101 1409468 1761835 2114202 2818936 3523670 4228404 5285505 5637872 7047340 8456808 8809175 10571010 11275744 14094680 16913616 17618350 21142020 26427525 28189360 33827232 35236700 42284040 44045875 52855050 56378720 70473400 84568080 88091750 105710100 132137625 140946800 169136160 176183500 211420200 220229375 264275250 281893600 352367000 422840400 440458750 528550500 660688125 704734000 845680800 880917500 1057101000 1321376250 1409468000 1761835000 2114202000 2642752500 3523670000 4228404000 5285505000 7047340000 10571010000 21142020000