Search a number
-
+
1002007100 = 225247213193
BaseRepresentation
bin111011101110010…
…110101000111100
32120211110020100002
4323232112220330
54023003211400
6243232253432
733554630333
oct7356265074
92524406302
101002007100
11474674846
1223b6a1278
1312c790913
1497110d1a
155ce7aed5
hex3bb96a3c

1002007100 has 36 divisors (see below), whose sum is σ = 2220628704. Its totient is φ = 392273280.

The previous prime is 1002007099. The next prime is 1002007103. The reversal of 1002007100 is 17002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002007103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101897 + ... + 111296.

Almost surely, 21002007100 is an apocalyptic number.

1002007100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002007100 is an abundant number, since it is smaller than the sum of its proper divisors (1218621604).

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

1002007100 is a wasteful number, since it uses less digits than its factorization.

1002007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213254 (or 213247 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 1002007100 is about 31654.4957312544. The cubic root of 1002007100 is about 1000.6685862262.

Adding to 1002007100 its reverse (17002001), we get a palindrome (1019009101).

The spelling of 1002007100 in words is "one billion, two million, seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 213193 426386 852772 1065965 2131930 4263860 5329825 10020071 10659650 20040142 21319300 40080284 50100355 100200710 200401420 250501775 501003550 1002007100