Search a number
-
+
2031011104 = 2537612461
BaseRepresentation
bin111100100001110…
…1100010100100000
312020112201001110111
41321003230110200
513124414323404
6533311341104
7101221211113
oct17103542440
95215631414
102031011104
119524a8781
12488221794
13264a14625
14153a4c57a
15bd48b104
hex790ec520

2031011104 has 72 divisors (see below), whose sum is σ = 4184103924. Its totient is φ = 969753600.

The previous prime is 2031011093. The next prime is 2031011153. The reversal of 2031011104 is 4011101302.

It can be written as a sum of positive squares in 6 ways, for example, as 197458704 + 1833552400 = 14052^2 + 42820^2 .

It is a super-2 number, since 2×20310111042 = 8250012209142597632, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4405434 + ... + 4405894.

Almost surely, 22031011104 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 2031011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092051962).

2031011104 is an abundant number, since it is smaller than the sum of its proper divisors (2153092820).

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

2031011104 is an equidigital number, since it uses as much as digits as its factorization.

2031011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2031011104 is about 45066.7405522077. The cubic root of 2031011104 is about 1266.3996036535.

Adding to 2031011104 its reverse (4011101302), we get a palindrome (6042112406).

The spelling of 2031011104 in words is "two billion, thirty-one million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 461 488 592 922 976 1184 1844 1952 2257 3688 3721 4514 7376 7442 9028 14752 14884 17057 18056 28121 29768 34114 36112 56242 59536 68228 72224 112484 119072 136456 137677 224968 272912 275354 449936 545824 550708 899872 1040477 1101416 1715381 2080954 2202832 3430762 4161908 4405664 6861524 8323816 13723048 16647632 27446096 33295264 54892192 63469097 126938194 253876388 507752776 1015505552 2031011104