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2130042519 = 3211193136529
BaseRepresentation
bin111111011110101…
…1101111010010111
312111110001101000200
41332331131322113
513330242330034
6551210111543
7103533030333
oct17675357227
95443041020
102130042519
119a3398520
124b541b5b3
1327c3a92b7
14162c6a7c3
15c6eeda99
hex7ef5de97

2130042519 has 48 divisors (see below), whose sum is σ = 3647155200. Its totient is φ = 1183507200.

The previous prime is 2130042511. The next prime is 2130042521. The reversal of 2130042519 is 9152400312.

It is not a de Polignac number, because 2130042519 - 23 = 2130042511 is a prime.

It is a super-2 number, since 2×21300425192 = 9074162265495730722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130042492 and 2130042501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130042511) 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 47 ways as a sum of consecutive naturals, for example, 40047 + ... + 76575.

It is an arithmetic number, because the mean of its divisors is an integer number (75982400).

Almost surely, 22130042519 is an apocalyptic number.

2130042519 is a deficient number, since it is larger than the sum of its proper divisors (1517112681).

2130042519 is a wasteful number, since it uses less digits than its factorization.

2130042519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36596 (or 36593 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2130042519 is about 46152.3836762523. The cubic root of 2130042519 is about 1286.6569125128.

The spelling of 2130042519 in words is "two billion, one hundred thirty million, forty-two thousand, five hundred nineteen".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 589 627 1023 1767 1881 3069 5301 6479 19437 36529 58311 109587 328761 401819 694051 1132399 1205457 2082153 3397197 3616371 6246459 7634561 10191591 12456389 21515581 22903683 37369167 64546743 68711049 112107501 193640229 236671391 710014173 2130042519