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10345211001041 = 729531078986357
BaseRepresentation
bin1001011010001010111010…
…1000000111100011010001
31100121222210112122002122112
42112202232220013203101
52323443443004013131
634000305130515105
72115262654421420
oct226425650074321
940558715562575
1010345211001041
113329419a02594
1211b0b7a295a95
135a071a804947
1427a9d49472b7
1512e18181e02b
hex968aea078d1

10345211001041 has 32 divisors (see below), whose sum is σ = 12578025565440. Its totient is φ = 8321509437696.

The previous prime is 10345211000989. The next prime is 10345211001067. The reversal of 10345211001041 is 14010011254301.

It is not a de Polignac number, because 10345211001041 - 218 = 10345210738897 is a prime.

It is a super-3 number, since 3×103452110010413 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10345211000998 and 10345211001016.

It is not an unprimeable number, because it can be changed into a prime (10345211001641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3341966 + ... + 5644391.

It is an arithmetic number, because the mean of its divisors is an integer number (393063298920).

Almost surely, 210345211001041 is an apocalyptic number.

It is an amenable number.

10345211001041 is a deficient number, since it is larger than the sum of its proper divisors (2232814564399).

10345211001041 is a wasteful number, since it uses less digits than its factorization.

10345211001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986553.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 10345211001041 its reverse (14010011254301), we get a palindrome (24355222255342).

The spelling of 10345211001041 in words is "ten trillion, three hundred forty-five billion, two hundred eleven million, one thousand, forty-one".

Divisors: 1 7 29 53 107 203 371 749 1537 3103 5671 10759 21721 39697 164459 1151213 8986357 62904499 260604353 476276921 961540199 1824230471 3333938447 6730781393 13812030709 27884665771 50961630547 96684214963 195192660397 356731413829 1477887285863 10345211001041