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1310001152 = 211679547
BaseRepresentation
bin100111000010101…
…0000100000000000
310101021222221202012
41032011100200000
510140330014102
6333553512052
744314553225
oct11605204000
93337887665
101310001152
11612509289
12306872628
1317b52a215
14c5da594c
157a018752
hex4e150800

1310001152 has 48 divisors (see below), whose sum is σ = 2658736080. Its totient is φ = 645156864.

The previous prime is 1310001103. The next prime is 1310001157. The reversal of 1310001152 is 2511000131.

It is a super-2 number, since 2×13100011522 = 3432206036482654208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310001157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132443 + ... + 141989.

It is an arithmetic number, because the mean of its divisors is an integer number (55390335).

Almost surely, 21310001152 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 1310001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329368040).

1310001152 is an abundant number, since it is smaller than the sum of its proper divisors (1348734928).

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

1310001152 is an frugal number, since it uses more digits than its factorization.

1310001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9636 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1310001152 is about 36193.9380559784. The cubic root of 1310001152 is about 1094.1845021014.

Adding to 1310001152 its reverse (2511000131), we get a palindrome (3821001283).

The spelling of 1310001152 in words is "one billion, three hundred ten million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2048 2144 4288 8576 9547 17152 19094 34304 38188 68608 76376 137216 152752 305504 611008 639649 1222016 1279298 2444032 2558596 4888064 5117192 9776128 10234384 19552256 20468768 40937536 81875072 163750144 327500288 655000576 1310001152