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1010134411 = 1113193167179
BaseRepresentation
bin111100001101010…
…110110110001011
32121101202010220121
4330031112312023
54032043300121
6244122404111
734014000166
oct7415266613
92541663817
101010134411
11479215a30
12242360637
13131377c90
1498228add
155da34141
hex3c356d8b

1010134411 has 64 divisors (see below), whose sum is σ = 1316044800. Its totient is φ = 761270400.

The previous prime is 1010134399. The next prime is 1010134421. The reversal of 1010134411 is 1144310101.

It is not a de Polignac number, because 1010134411 - 25 = 1010134379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010134421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5643120 + ... + 5643298.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 21010134411 is an apocalyptic number.

1010134411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010134411 is a deficient number, since it is larger than the sum of its proper divisors (305910389).

1010134411 is a wasteful number, since it uses less digits than its factorization.

1010134411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1010134411 is about 31782.6117712186. The cubic root of 1010134411 is about 1003.3667890106.

Adding to 1010134411 its reverse (1144310101), we get a palindrome (2154444512).

The spelling of 1010134411 in words is "one billion, ten million, one hundred thirty-four thousand, four hundred eleven".

Divisors: 1 11 13 19 31 67 143 179 209 247 341 403 589 737 871 1273 1969 2077 2327 2717 3401 4433 5549 6479 7657 9581 11993 14003 16549 22847 25597 27001 37411 39463 44213 61039 72137 84227 105431 131923 155909 182039 227867 297011 371783 434093 486343 513019 793507 1159741 1370603 1714999 2506537 2962271 4089613 4833179 5643209 7063877 15076633 32584981 53164969 77702647 91830401 1010134411