Search a number
-
+
1310101152 = 253107127541
BaseRepresentation
bin100111000010110…
…1000111010100000
310101022012000220220
41032011220322200
510140341214102
6334000003040
744315450613
oct11605507240
93338160826
101310101152
11612577428
12306900480
1317b5638a9
14c5dd017a
157a0381bc
hex4e168ea0

1310101152 has 48 divisors (see below), whose sum is σ = 3471183072. Its totient is φ = 432615680.

The previous prime is 1310101151. The next prime is 1310101153. The reversal of 1310101152 is 2511010131.

It is an interprime number because it is at equal distance from previous prime (1310101151) and next prime (1310101153).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1310101151) by changing a digit.

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, 53499 + ... + 74042.

It is an arithmetic number, because the mean of its divisors is an integer number (72316314).

Almost surely, 21310101152 is an apocalyptic number.

1310101152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310101152 is an abundant number, since it is smaller than the sum of its proper divisors (2161081920).

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

1310101152 is a wasteful number, since it uses less digits than its factorization.

1310101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127661 (or 127653 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1310101152 is about 36195.3194764185. The cubic root of 1310101152 is about 1094.2123432133.

Adding to 1310101152 its reverse (2511010131), we get a palindrome (3821111283).

The spelling of 1310101152 in words is "one billion, three hundred ten million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 127541 255082 382623 510164 765246 1020328 1530492 2040656 3060984 4081312 6121968 12243936 13646887 27293774 40940661 54587548 81881322 109175096 163762644 218350192 327525288 436700384 655050576 1310101152