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1001312344304 = 243761121322859
BaseRepresentation
bin11101001001000101101…
…11011101100011110000
310112201120011211102102122
432210202313131203300
5112401141430004204
62043555130333412
7132225311331506
oct16444267354360
93481504742378
101001312344304
11356721794668
1214208958a268
137356713642c
143666c85c676
151b0a6a940be
hexe922ddd8f0

1001312344304 has 80 divisors (see below), whose sum is σ = 2026897993440. Its totient is φ = 478723322880.

The previous prime is 1001312344303. The next prime is 1001312344309. The reversal of 1001312344304 is 4034432131001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312344301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43792427 + ... + 43815285.

It is an arithmetic number, because the mean of its divisors is an integer number (25336224918).

Almost surely, 21001312344304 is an apocalyptic number.

It is an amenable number.

1001312344304 is an abundant number, since it is smaller than the sum of its proper divisors (1025585649136).

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

1001312344304 is a wasteful number, since it uses less digits than its factorization.

1001312344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24178 (or 24172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1001312344304 its reverse (4034432131001), we get a palindrome (5035744475305).

The spelling of 1001312344304 in words is "one trillion, one billion, three hundred twelve million, three hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 37 61 74 122 148 244 296 488 592 976 1213 2257 2426 4514 4852 9028 9704 18056 19408 22859 36112 44881 45718 73993 89762 91436 147986 179524 182872 295972 359048 365744 591944 718096 845783 1183888 1394399 1691566 2737741 2788798 3383132 5475482 5577596 6766264 10950964 11155192 13532528 21901928 22310384 27727967 43803856 51592763 55455934 103185526 110911868 206371052 221823736 412742104 443647472 825484208 1025934779 1691405987 2051869558 3382811974 4103739116 6765623948 8207478232 13531247896 16414956464 27062495792 62582021519 125164043038 250328086076 500656172152 1001312344304