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1111001312 = 25313173533
BaseRepresentation
bin100001000111000…
…1000100011100000
32212102112201021202
41002032020203200
54233404020222
6302124340332
736350232611
oct10216104340
92772481252
101111001312
11520149803
122700a46a8
13149233235
14a77a3c08
156780a892
hex423888e0

1111001312 has 48 divisors (see below), whose sum is σ = 2265604992. Its totient is φ = 535733760.

The previous prime is 1111001293. The next prime is 1111001321. The reversal of 1111001312 is 2131001111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1111001293 and 1111001302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312698 + ... + 316230.

It is an arithmetic number, because the mean of its divisors is an integer number (47200104).

Almost surely, 21111001312 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 1111001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132802496).

1111001312 is an abundant number, since it is smaller than the sum of its proper divisors (1154603680).

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

1111001312 is a wasteful number, since it uses less digits than its factorization.

1111001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1111001312 is about 33331.6863059762. The cubic root of 1111001312 is about 1035.7100503907.

Adding to 1111001312 its reverse (2131001111), we get a palindrome (3242002423).

The spelling of 1111001312 in words is "one billion, one hundred eleven million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 317 496 634 992 1268 2536 3533 5072 7066 9827 10144 14132 19654 28264 39308 56528 78616 109523 113056 157232 219046 314464 438092 876184 1119961 1752368 2239922 3504736 4479844 8959688 17919376 34718791 35838752 69437582 138875164 277750328 555500656 1111001312