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1201141020 = 2235148313499
BaseRepresentation
bin100011110010111…
…1111010100011100
310002201011021201110
41013211333110130
54424443003040
6315104342020
741523346602
oct10745772434
93081137643
101201141020
11567016032
12296314910
13161b03941
14b5749872
15706b3980
hex4797f51c

1201141020 has 48 divisors (see below), whose sum is σ = 3365712000. Its totient is φ = 320064576.

The previous prime is 1201140971. The next prime is 1201141021. The reversal of 1201141020 is 201411021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1201140987 and 1201141005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201141021) 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, 82231 + ... + 95729.

It is an arithmetic number, because the mean of its divisors is an integer number (70119000).

Almost surely, 21201141020 is an apocalyptic number.

1201141020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201141020 is an abundant number, since it is smaller than the sum of its proper divisors (2164570980).

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

1201141020 is a wasteful number, since it uses less digits than its factorization.

1201141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1201141020 is about 34657.4814434055. The cubic root of 1201141020 is about 1062.9952721207.

Adding to 1201141020 its reverse (201411021), we get a palindrome (1402552041).

The spelling of 1201141020 in words is "one billion, two hundred one million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1483 2966 4449 5932 7415 8898 13499 14830 17796 22245 26998 29660 40497 44490 53996 67495 80994 88980 134990 161988 202485 269980 404970 809940 20019017 40038034 60057051 80076068 100095085 120114102 200190170 240228204 300285255 400380340 600570510 1201141020