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1141212020 = 225135717687
BaseRepresentation
bin100010000000101…
…1000001101110100
32221112101120120212
41010001120031310
54314122241040
6305124044552
740165066514
oct10401301564
92845346525
101141212020
11536203533
1227a233758
131525800b0
14ab7c9844
156a2c6d65
hex44058374

1141212020 has 48 divisors (see below), whose sum is σ = 2585751168. Its totient is φ = 420577920.

The previous prime is 1141212013. The next prime is 1141212049. The reversal of 1141212020 is 202121411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1141211986 and 1141212004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144617 + ... + 152303.

It is an arithmetic number, because the mean of its divisors is an integer number (53869816).

Almost surely, 21141212020 is an apocalyptic number.

1141212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292875584).

1141212020 is an abundant number, since it is smaller than the sum of its proper divisors (1444539148).

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

1141212020 is a wasteful number, since it uses less digits than its factorization.

1141212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1141212020 is about 33781.8297313807. The cubic root of 1141212020 is about 1045.0140089542.

Adding to 1141212020 its reverse (202121411), we get a palindrome (1343333431).

It can be divided in two parts, 11412 and 12020, that added together give a palindrome (23432).

The spelling of 1141212020 in words is "one billion, one hundred forty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 571 1142 2284 2855 5710 7423 7687 11420 14846 15374 29692 30748 37115 38435 74230 76870 99931 148460 153740 199862 399724 499655 999310 1998620 4389277 8778554 17557108 21946385 43892770 57060601 87785540 114121202 228242404 285303005 570606010 1141212020