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1007312293 = 13103752287
BaseRepresentation
bin111100000010100…
…101110110100101
32121012102202200201
4330002211312211
54030332443133
6243542110501
733651004351
oct7402456645
92535382621
101007312293
114776686a9
1224141b431
131308ca5a0
1497ad2461
155d677d7d
hex3c0a5da5

1007312293 has 8 divisors (see below), whose sum is σ = 1095331328. Its totient is φ = 920798064.

The previous prime is 1007312269. The next prime is 1007312323. The reversal of 1007312293 is 3922137001.

1007312293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007312293 - 225 = 973757861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007312263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374805 + ... + 377482.

It is an arithmetic number, because the mean of its divisors is an integer number (136916416).

Almost surely, 21007312293 is an apocalyptic number.

1007312293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1007312293 is a deficient number, since it is larger than the sum of its proper divisors (88019035).

1007312293 is a wasteful number, since it uses less digits than its factorization.

1007312293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752403.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1007312293 is about 31738.1835176495. The cubic root of 1007312293 is about 1002.4315139480.

Adding to 1007312293 its reverse (3922137001), we get a palindrome (4929449294).

It can be divided in two parts, 10073 and 12293, that added together give a triangular number (22366 = T211).

The spelling of 1007312293 in words is "one billion, seven million, three hundred twelve thousand, two hundred ninety-three".

Divisors: 1 13 103 1339 752287 9779731 77485561 1007312293