Search a number
-
+
1052017144123 = 112171163439753
BaseRepresentation
bin11110100111100010001…
…10111011000100111011
310201120102212212010122111
433103301012323010323
5114214012342102443
62123142350233151
7136001652116311
oct17236106730473
93646385763574
101052017144123
11376181285200
1214ba7a4b57b7
1378287c0616a
1438cbca160b1
151c57325869d
hexf4f11bb13b

1052017144123 has 24 divisors (see below), whose sum is σ = 1225425532464. Its totient is φ = 899345610240.

The previous prime is 1052017144069. The next prime is 1052017144249. The reversal of 1052017144123 is 3214417102501.

It is a de Polignac number, because none of the positive numbers 2k-1052017144123 is a prime.

It is a super-2 number, since 2×10520171441232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052017144723) 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 23 ways as a sum of consecutive naturals, for example, 2172415 + ... + 2612167.

It is an arithmetic number, because the mean of its divisors is an integer number (51059397186).

Almost surely, 21052017144123 is an apocalyptic number.

1052017144123 is a deficient number, since it is larger than the sum of its proper divisors (173408388341).

1052017144123 is a wasteful number, since it uses less digits than its factorization.

1052017144123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440955 (or 440944 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 1052017144123 in words is "one trillion, fifty-two billion, seventeen million, one hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 11 17 121 187 1163 2057 12793 19771 140723 217481 439753 2392291 4837283 7475801 53210113 82233811 511432739 904571921 5625760129 8694356563 61883361419 95637922193 1052017144123