Search a number
-
+
1102412142009 = 3237891272291279
BaseRepresentation
bin10000000010101100111…
…000100101010110111001
310220101111222221021111200
4100002230320211112321
5121030220002021014
62202235142044413
7142434541411353
oct20025470452671
93811458837450
101102412142009
11395591a06a92
121597a3719709
137cc59755739
143b4dd9a80d3
151da22624a09
hex100ace255b9

1102412142009 has 96 divisors (see below), whose sum is σ = 1675395072000. Its totient is φ = 697867011072.

The previous prime is 1102412142001. The next prime is 1102412142023. The reversal of 1102412142009 is 9002412142011.

It is a happy number.

1102412142009 is a `hidden beast` number, since 1 + 1 + 0 + 241 + 214 + 200 + 9 = 666.

It is not a de Polignac number, because 1102412142009 - 23 = 1102412142001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102412142001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861932232 + ... + 861933510.

It is an arithmetic number, because the mean of its divisors is an integer number (17452032000).

Almost surely, 21102412142009 is an apocalyptic number.

It is an amenable number.

1102412142009 is a deficient number, since it is larger than the sum of its proper divisors (572982929991).

1102412142009 is a wasteful number, since it uses less digits than its factorization.

1102412142009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 1102412 and 142009, that added together give a palindrome (1244421).

The spelling of 1102412142009 in words is "one trillion, one hundred two billion, four hundred twelve million, one hundred forty-two thousand, nine".

Divisors: 1 3 9 37 89 111 127 229 267 333 381 687 801 1143 1279 2061 3293 3837 4699 8473 9879 11303 11511 14097 20381 25419 29083 29637 33909 42291 47323 61143 76257 87249 101727 113831 141969 162433 183429 261747 292891 341493 418211 425907 487299 754097 878673 1024479 1076071 1254633 1461897 2262291 2588387 2636019 3228213 3763899 4211747 6010021 6786873 7765161 9684639 10836967 12635241 14456537 18030063 23295483 26067299 32510901 37197157 37905723 43369611 54090189 78201897 95770319 97532703 111591471 130108833 234605691 287310957 334774413 534891869 861932871 964490063 1376294809 1604675607 2893470189 3310546973 4128884427 4814026821 8680410567 9931640919 12386653281 29794922757 122490238001 367470714003 1102412142009