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10005120001014 = 2329107537389623
BaseRepresentation
bin1001000110010111111110…
…0111111010001111110110
31022102110222000102020211120
42101211333213322033312
52302410441210013024
633140142204244410
72051563125546045
oct221457747721766
938373860366746
1010005120001014
113208169453616
121157086540706
1357762bb11618
1426837110a55c
151253c96a0479
hex9197f9fa3f6

10005120001014 has 32 divisors (see below), whose sum is σ = 20893708581120. Its totient is φ = 3189944796192.

The previous prime is 10005120001003. The next prime is 10005120001057. The reversal of 10005120001014 is 41010002150001.

It is a happy number.

It is a super-2 number, since 2×100051200010142 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005120000984 and 10005120001002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268676194 + ... + 268713429.

It is an arithmetic number, because the mean of its divisors is an integer number (652928393160).

Almost surely, 210005120001014 is an apocalyptic number.

10005120001014 is an abundant number, since it is smaller than the sum of its proper divisors (10888588580106).

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

10005120001014 is a wasteful number, since it uses less digits than its factorization.

10005120001014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537389764.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10005120001014 its reverse (41010002150001), we get a palindrome (51015122151015).

The spelling of 10005120001014 in words is "ten trillion, five billion, one hundred twenty million, one thousand, fourteen".

Divisors: 1 2 3 6 29 58 87 107 174 214 321 642 3103 6206 9309 18618 537389623 1074779246 1612168869 3224337738 15584299067 31168598134 46752897201 57500689661 93505794402 115001379322 172502068983 345004137966 1667520000169 3335040000338 5002560000507 10005120001014