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1310001024 = 2733411461
BaseRepresentation
bin100111000010101…
…0000011110000000
310101021222221120110
41032011100132000
510140330013044
6333553511320
744314552653
oct11605203600
93337887513
101310001024
11612509182
12306872540
1317b52a147
14c5da589a
157a0186b9
hex4e150780

1310001024 has 32 divisors (see below), whose sum is σ = 3479691240. Its totient is φ = 436666880.

The previous prime is 1310000981. The next prime is 1310001067. The reversal of 1310001024 is 4201000131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1310000981) and next prime (1310001067).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13100010242 = 3432205365762097152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1705347 + ... + 1706114.

Almost surely, 21310001024 is an apocalyptic number.

It is an amenable number.

1310001024 is an abundant number, since it is smaller than the sum of its proper divisors (2169690216).

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

1310001024 is an equidigital number, since it uses as much as digits as its factorization.

1310001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411478 (or 3411466 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1310001024 is about 36193.9362877264. The cubic root of 1310001024 is about 1094.1844664639.

Adding to 1310001024 its reverse (4201000131), we get a palindrome (5511001155).

The spelling of 1310001024 in words is "one billion, three hundred ten million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3411461 6822922 10234383 13645844 20468766 27291688 40937532 54583376 81875064 109166752 163750128 218333504 327500256 436667008 655000512 1310001024