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1201012002 = 233197116487
BaseRepresentation
bin100011110010101…
…1111110100100010
310002200220201202000
41013211133310202
54424424341002
6315101504430
741522301501
oct10745376442
93080821660
101201012002
11566a38103
12296272116
13161a89cb8
14b5714838
157068a61c
hex4795fd22

1201012002 has 64 divisors (see below), whose sum is σ = 2849126400. Its totient is φ = 373902480.

The previous prime is 1201011991. The next prime is 1201012027. The reversal of 1201012002 is 2002101021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64603 + ... + 81089.

It is an arithmetic number, because the mean of its divisors is an integer number (44517600).

Almost surely, 21201012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424563200).

1201012002 is an abundant number, since it is smaller than the sum of its proper divisors (1648114398).

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

1201012002 is a wasteful number, since it uses less digits than its factorization.

1201012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16588 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201012002 is about 34655.6200637068. The cubic root of 1201012002 is about 1062.9572109681.

Adding to 1201012002 its reverse (2002101021), we get a palindrome (3203113023).

The spelling of 1201012002 in words is "one billion, two hundred one million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 114 142 171 213 342 426 513 639 1026 1278 1349 1917 2698 3834 4047 8094 12141 16487 24282 32974 36423 49461 72846 98922 148383 296766 313253 445149 626506 890298 939759 1170577 1879518 2341154 2819277 3511731 5638554 7023462 8457831 10535193 16915662 21070386 22240963 31605579 44481926 63211158 66722889 133445778 200168667 400337334 600506001 1201012002