Search a number
-
+
1018782828701 = 1119291491128109
BaseRepresentation
bin11101101001101000011…
…00000100100010011101
310121101122201121222121022
432310310030010202131
5113142431401004301
62100004455413525
7133414250106401
oct16646414044235
93541581558538
101018782828701
11363077390120
121455443842a5
13750bc749271
1437448c0d101
151b77a703d1b
hexed3430489d

1018782828701 has 32 divisors (see below), whose sum is σ = 1218358800000. Its totient is φ = 841478319360.

The previous prime is 1018782828691. The next prime is 1018782828703. The reversal of 1018782828701 is 1078282878101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1018782828701 - 234 = 1001602959517 is a prime.

It is a super-2 number, since 2×10187828287012 (a number of 25 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 (1018782828703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339035 + ... + 1467143.

It is an arithmetic number, because the mean of its divisors is an integer number (38073712500).

Almost surely, 21018782828701 is an apocalyptic number.

1018782828701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1018782828701 is a deficient number, since it is larger than the sum of its proper divisors (199575971299).

1018782828701 is a wasteful number, since it uses less digits than its factorization.

1018782828701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128317.

The product of its (nonzero) digits is 802816, while the sum is 53.

The spelling of 1018782828701 in words is "one trillion, eighteen billion, seven hundred eighty-two million, eight hundred twenty-eight thousand, seven hundred one".

Divisors: 1 11 19 29 149 209 319 551 1639 2831 4321 6061 31141 47531 82099 903089 1128109 12409199 21434071 32715161 168088241 235774781 359866771 621588059 1848970651 3193676579 4874558989 6837468649 35130442369 53620148879 92616620791 1018782828701