Search a number
-
+
1010243104 = 251313917471
BaseRepresentation
bin111100001101110…
…001011000100000
32121101221200000021
4330031301120200
54032110234404
6244125003224
734014632113
oct7415613040
92541850007
101010243104
1147928a662
122423b3514
131313b55b0
149825657a
155da56454
hex3c371620

1010243104 has 48 divisors (see below), whose sum is σ = 2157442560. Its totient is φ = 462885120.

The previous prime is 1010243063. The next prime is 1010243119. The reversal of 1010243104 is 4013420101.

It is a super-2 number, since 2×10102431042 = 2041182258359109632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49089 + ... + 66559.

It is an arithmetic number, because the mean of its divisors is an integer number (44946720).

Almost surely, 21010243104 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 1010243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078721280).

1010243104 is an abundant number, since it is smaller than the sum of its proper divisors (1147199456).

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

1010243104 is a wasteful number, since it uses less digits than its factorization.

1010243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17633 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1010243104 is about 31784.3216696534. The cubic root of 1010243104 is about 1003.4027759822.

Adding to 1010243104 its reverse (4013420101), we get a palindrome (5023663205).

The spelling of 1010243104 in words is "one billion, ten million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 139 208 278 416 556 1112 1807 2224 3614 4448 7228 14456 17471 28912 34942 57824 69884 139768 227123 279536 454246 559072 908492 1816984 2428469 3633968 4856938 7267936 9713876 19427752 31570097 38855504 63140194 77711008 126280388 252560776 505121552 1010243104