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1000020138 = 2313177310331
BaseRepresentation
bin111011100110110…
…001100010101010
32120200201021201220
4323212301202222
54022001121023
6243121522510
733532013415
oct7346614252
92520637656
101000020138
11473537a27
1223aaa3436
1312c2463c0
1496b54b7c
155cbd73e3
hex3b9b18aa

1000020138 has 64 divisors (see below), whose sum is σ = 2312053632. Its totient is φ = 285603840.

The previous prime is 1000020107. The next prime is 1000020139. The reversal of 1000020138 is 8310200001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000020139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91633 + ... + 101963.

It is an arithmetic number, because the mean of its divisors is an integer number (36125838).

Almost surely, 21000020138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156026816).

1000020138 is an abundant number, since it is smaller than the sum of its proper divisors (1312033494).

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

1000020138 is a wasteful number, since it uses less digits than its factorization.

1000020138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1000020138 is about 31623.0950098184. The cubic root of 1000020138 is about 1000.0067126216.

Adding to 1000020138 its reverse (8310200001), we get a palindrome (9310220139).

The spelling of 1000020138 in words is "one billion, twenty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 73 78 102 146 219 221 438 442 663 949 1241 1326 1898 2482 2847 3723 5694 7446 10331 16133 20662 30993 32266 48399 61986 96798 134303 175627 268606 351254 402909 526881 754163 805818 1053762 1508326 2262489 2283151 4524978 4566302 6849453 9804119 12820771 13698906 19608238 25641542 29412357 38462313 58824714 76924626 166670023 333340046 500010069 1000020138