Search a number
-
+
1110330230004 = 2233167202930341
BaseRepresentation
bin10000001010000100110…
…101101100010011110100
310221010221211012211021000
4100022010311230103310
5121142424014330004
62210024554123300
7143135006143122
oct20120465542364
93833854184230
101110330230004
11398985517766
1215b233420530
138091c0190c8
143ba5142c912
151dd3783ec39
hex10284d6c4f4

1110330230004 has 96 divisors (see below), whose sum is σ = 2897393990400. Its totient is φ = 367700411520.

The previous prime is 1110330229999. The next prime is 1110330230057. The reversal of 1110330230004 is 4000320330111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36579874 + ... + 36610214.

It is an arithmetic number, because the mean of its divisors is an integer number (30181187400).

Almost surely, 21110330230004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110330230004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448696995200).

1110330230004 is an abundant number, since it is smaller than the sum of its proper divisors (1787063760396).

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

1110330230004 is a wasteful number, since it uses less digits than its factorization.

1110330230004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32550 (or 32542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1110330230004 its reverse (4000320330111), we get a palindrome (5110650560115).

The spelling of 1110330230004 in words is "one trillion, one hundred ten billion, three hundred thirty million, two hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 2029 3006 4058 4509 6012 6087 8116 9018 12174 18036 18261 24348 30341 36522 54783 60682 73044 91023 109566 121364 182046 219132 273069 338843 364092 546138 677686 819207 1016529 1092276 1355372 1638414 2033058 3049587 3276828 4066116 5066947 6099174 9148761 10133894 12198348 15200841 18297522 20267788 30401682 36595044 45602523 60803364 61561889 91205046 123123778 136807569 182410092 184685667 246247556 273615138 369371334 547230276 554057001 738742668 1108114002 1662171003 2216228004 3324342006 6648684012 10280835463 20561670926 30842506389 41123341852 61685012778 92527519167 123370025556 185055038334 277582557501 370110076668 555165115002 1110330230004