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1201101020 = 225723336821
BaseRepresentation
bin100011110010111…
…0101100011011100
310002201002020211222
41013211311203130
54424440213040
6315103432512
741523122150
oct10745654334
93081066758
101201101020
11566a98a79
122962b5738
13161abb682
14b5739060
15706a6bb5
hex479758dc

1201101020 has 48 divisors (see below), whose sum is σ = 2895092928. Its totient is φ = 410027520.

The previous prime is 1201101019. The next prime is 1201101029. The reversal of 1201101020 is 201011021.

It is a junction number, because it is equal to n+sod(n) for n = 1201100989 and 1201101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201101029) 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 15 ways as a sum of consecutive naturals, for example, 14210 + ... + 51030.

It is an arithmetic number, because the mean of its divisors is an integer number (60314436).

Almost surely, 21201101020 is an apocalyptic number.

1201101020 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 1201101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447546464).

1201101020 is an abundant number, since it is smaller than the sum of its proper divisors (1693991908).

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

1201101020 is a wasteful number, since it uses less digits than its factorization.

1201101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37070 (or 37068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1201101020 is about 34656.9043626230. The cubic root of 1201101020 is about 1062.9834721510.

Adding to 1201101020 its reverse (201011021), we get a palindrome (1402112041).

The spelling of 1201101020 in words is "one billion, two hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 32620 36821 73642 147284 184105 257747 368210 515494 736420 1030988 1288735 2577470 5154940 8579293 17158586 34317172 42896465 60055051 85792930 120110102 171585860 240220204 300275255 600550510 1201101020