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10034770220927 = 1737971075232939
BaseRepresentation
bin1001001000000110011011…
…1010100001011101111111
31022112022111101112111010122
42102001212322201131333
52303402202134032202
633201524303325155
72053662650344634
oct222014672413577
938468441474118
1010034770220927
1132197a42026a1
1211609802b07bb
1357a37589964a
14269984d0418b
151260627359a2
hex92066ea177f

10034770220927 has 64 divisors (see below), whose sum is σ = 11152816335360. Its totient is φ = 8989217243136.

The previous prime is 10034770220899. The next prime is 10034770220929. The reversal of 10034770220927 is 72902207743001.

It is a cyclic number.

It is not a de Polignac number, because 10034770220927 - 218 = 10034769958783 is a prime.

It is a super-2 number, since 2×100347702209272 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034770220929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3414347024 + ... + 3414349962.

It is an arithmetic number, because the mean of its divisors is an integer number (174262755240).

Almost surely, 210034770220927 is an apocalyptic number.

10034770220927 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10034770220927 is a deficient number, since it is larger than the sum of its proper divisors (1118046114433).

10034770220927 is a wasteful number, since it uses less digits than its factorization.

10034770220927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720.

The product of its (nonzero) digits is 296352, while the sum is 44.

Adding to 10034770220927 its reverse (72902207743001), we get a palindrome (82936977963928).

The spelling of 10034770220927 in words is "ten trillion, thirty-four billion, seven hundred seventy million, two hundred twenty thousand, nine hundred twenty-seven".

Divisors: 1 17 37 97 107 523 629 1649 1819 2939 3589 3959 8891 10379 19351 49963 50731 55961 61013 67303 108743 176443 285083 314473 328967 384023 862427 951337 1537097 1848631 1877047 2070557 4846411 5346041 5428217 6528391 10548071 11635501 26130649 30503881 31909799 35199469 56872589 92279689 149098409 164469379 179317207 197803517 200844029 518565977 966834013 1128643597 2534672953 2795979443 3414348493 5516641133 6085367023 15953529763 19186941149 93782899261 103451239391 271210005971 590280601231 10034770220927