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1001313332112 = 24331765806607
BaseRepresentation
bin11101001001000101110…
…11001110101110010000
310112201120020200121110010
432210202323032232100
5112401142203111422
62043555203434520
7132225322614432
oct16444273165620
93481506617403
101001313332112
113567222a9835
12142089985a40
13735673c0c32
143666ca38652
151b0a6bdbb0c
hexe922eceb90

1001313332112 has 40 divisors (see below), whose sum is σ = 2594886166656. Its totient is φ = 332718199936.

The previous prime is 1001313332069. The next prime is 1001313332119. The reversal of 1001313332112 is 2112333131001.

It is a happy number.

1001313332112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001313332119) 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, 32888088 + ... + 32918519.

Almost surely, 21001313332112 is an apocalyptic number.

1001313332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001313332112 is an abundant number, since it is smaller than the sum of its proper divisors (1593572834544).

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

1001313332112 is a wasteful number, since it uses less digits than its factorization.

1001313332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65806935 (or 65806929 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1001313332112 its reverse (2112333131001), we get a palindrome (3113646463113).

The spelling of 1001313332112 in words is "one trillion, one billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 2536 3804 5072 7608 15216 65806607 131613214 197419821 263226428 394839642 526452856 789679284 1052905712 1579358568 3158717136 20860694419 41721388838 62582083257 83442777676 125164166514 166885555352 250328333028 333771110704 500656666056 1001313332112