Search a number
-
+
102031002 = 2344397151
BaseRepresentation
bin1100001010011…
…01111010011010
321002222201020000
412011031322122
5202104443002
614042513430
72346151323
oct605157232
9232881200
10102031002
1152659447
122a205876
13181a5098
14d79d44a
158e5661c
hex614de9a

102031002 has 80 divisors (see below), whose sum is σ = 237918912. Its totient is φ = 32659200.

The previous prime is 102030953. The next prime is 102031037. The reversal of 102031002 is 200130201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 675627 + ... + 675777.

Almost surely, 2102031002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118959456).

102031002 is an abundant number, since it is smaller than the sum of its proper divisors (135887910).

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

102031002 is a wasteful number, since it uses less digits than its factorization.

102031002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102031002 is about 10101.0396494618. The cubic root of 102031002 is about 467.2802051435.

Adding to 102031002 its reverse (200130201), we get a palindrome (302161203).

The spelling of 102031002 in words is "one hundred two million, thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 97 129 151 162 194 258 291 302 387 453 582 774 873 906 1161 1359 1746 2322 2619 2718 3483 4077 4171 5238 6493 6966 7857 8154 8342 12231 12513 12986 14647 15714 19479 24462 25026 29294 37539 38958 43941 58437 75078 87882 112617 116874 131823 175311 225234 263646 337851 350622 395469 525933 629821 675702 790938 1051866 1186407 1259642 1889463 2372814 3778926 5668389 11336778 17005167 34010334 51015501 102031002