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1201442010 = 2351910719699
BaseRepresentation
bin100011110011100…
…1000110011011010
310002201201120121020
41013213020303122
54430032121020
6315115023310
741526042246
oct10747106332
93081646536
101201442010
1156720118a
1229643ab36
13161baa942
14b57c7426
1570722c40
hex479c8cda

1201442010 has 64 divisors (see below), whose sum is σ = 3063744000. Its totient is φ = 300670272.

The previous prime is 1201441993. The next prime is 1201442023. The reversal of 1201442010 is 102441021.

1201442010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51141 + ... + 70839.

It is an arithmetic number, because the mean of its divisors is an integer number (47871000).

Almost surely, 21201442010 is an apocalyptic number.

1201442010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201442010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531872000).

1201442010 is an abundant number, since it is smaller than the sum of its proper divisors (1862301990).

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

1201442010 is a wasteful number, since it uses less digits than its factorization.

1201442010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19835.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1201442010 is about 34661.8235238713. The cubic root of 1201442010 is about 1063.0840555414.

Adding to 1201442010 its reverse (102441021), we get a palindrome (1303883031).

It can be divided in two parts, 1201 and 442010, that added together give a triangular number (443211 = T941).

The spelling of 1201442010 in words is "one billion, two hundred one million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 107 114 190 214 285 321 535 570 642 1070 1605 2033 3210 4066 6099 10165 12198 19699 20330 30495 39398 59097 60990 98495 118194 196990 295485 374281 590970 748562 1122843 1871405 2107793 2245686 3742810 4215586 5614215 6323379 10538965 11228430 12646758 21077930 31616895 40048067 63233790 80096134 120144201 200240335 240288402 400480670 600721005 1201442010