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1000120002 = 237731372381
BaseRepresentation
bin111011100111001…
…001111011000010
32120200220100201120
4323213021323002
54022012320002
6243124013110
733532610520
oct7347117302
92520810646
101000120002
114735a5a62
1223ab31196
1312c27c9ab
1496b7d310
155cc06cbc
hex3b9c9ec2

1000120002 has 64 divisors (see below), whose sum is σ = 2335198464. Its totient is φ = 279659520.

The previous prime is 1000120001. The next prime is 1000120007. The reversal of 1000120002 is 2000210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1000120001) 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 31 ways as a sum of consecutive naturals, for example, 418852 + ... + 421232.

It is an arithmetic number, because the mean of its divisors is an integer number (36487476).

Almost surely, 21000120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167599232).

1000120002 is an abundant number, since it is smaller than the sum of its proper divisors (1335078462).

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

1000120002 is a wasteful number, since it uses less digits than its factorization.

1000120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000120002 is about 31624.6739429832. The cubic root of 1000120002 is about 1000.0399990667.

Adding to 1000120002 its reverse (2000210001), we get a palindrome (3000330003).

It can be divided in two parts, 10001 and 20002, that multiplied together give a palindrome (200040002).

The spelling of 1000120002 in words is "one billion, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 42 73 137 146 219 274 411 438 511 822 959 1022 1533 1918 2381 2877 3066 4762 5754 7143 10001 14286 16667 20002 30003 33334 50001 60006 70007 100002 140014 173813 210021 326197 347626 420042 521439 652394 978591 1042878 1216691 1957182 2283379 2433382 3650073 4566758 6850137 7300146 13700274 23812381 47624762 71437143 142874286 166686667 333373334 500060001 1000120002