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10000312301 = 723169936559
BaseRepresentation
bin10010101000001000…
…01010011111101101
3221210221100111112002
421110010022133231
5130440034443201
64332153222045
7502550152310
oct112404123755
927727314462
1010000312301
114271a08711
121b31101925
13c34a99675
146ac204977
153d7e2076b
hex25410a7ed

10000312301 has 16 divisors (see below), whose sum is σ = 11933184000. Its totient is φ = 8193963888.

The previous prime is 10000312241. The next prime is 10000312319. The reversal of 10000312301 is 10321300001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000312301 is a prime.

It is a super-3 number, since 3×100003123013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000315301) 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, 255260 + ... + 291818.

It is an arithmetic number, because the mean of its divisors is an integer number (745824000).

Almost surely, 210000312301 is an apocalyptic number.

It is an amenable number.

10000312301 is a deficient number, since it is larger than the sum of its proper divisors (1932871699).

10000312301 is a wasteful number, since it uses less digits than its factorization.

10000312301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38288.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10000312301 its reverse (10321300001), we get a palindrome (20321612302).

The spelling of 10000312301 in words is "ten billion, three hundred twelve thousand, three hundred one".

Divisors: 1 7 23 161 1699 11893 36559 39077 255913 273539 840857 5885999 62113741 434796187 1428616043 10000312301