Search a number
-
+
1010030032 = 241119729131
BaseRepresentation
bin111100001100111…
…101010111010000
32121101112211201201
4330030331113100
54032031430112
6244120240544
734013053654
oct7414752720
92541484651
101010030032
11479154570
12242310154
1313133c60b
14981dca64
155da13257
hex3c33d5d0

1010030032 has 40 divisors (see below), whose sum is σ = 2145746592. Its totient is φ = 456758400.

The previous prime is 1010030023. The next prime is 1010030041. The reversal of 1010030032 is 2300300101.

It is an interprime number because it is at equal distance from previous prime (1010030023) and next prime (1010030041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20107 + ... + 49237.

Almost surely, 21010030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072873296).

1010030032 is an abundant number, since it is smaller than the sum of its proper divisors (1135716560).

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

1010030032 is a wasteful number, since it uses less digits than its factorization.

1010030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29347 (or 29341 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1010030032 is about 31780.9696516642. The cubic root of 1010030032 is about 1003.3322279237.

Adding to 1010030032 its reverse (2300300101), we get a palindrome (3310330133).

The spelling of 1010030032 in words is "one billion, ten million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 197 394 788 1576 2167 3152 4334 8668 17336 29131 34672 58262 116524 233048 320441 466096 640882 1281764 2563528 5127056 5738807 11477614 22955228 45910456 63126877 91820912 126253754 252507508 505015016 1010030032