Search a number
-
+
1200000001104 = 243297449319121
BaseRepresentation
bin10001011101100101100…
…100101110010001010000
311020201102001201011111100
4101131211210232101100
5124130100000013404
62315134500344400
7152461055466162
oct21354544562120
94221361634440
101200000001104
11422a0a797a03
121746996a5100
138920c5b8368
144211a528932
1521334bdad39
hex1176592e450

1200000001104 has 120 divisors (see below), whose sum is σ = 3393887980392. Its totient is φ = 395767480320.

The previous prime is 1200000001073. The next prime is 1200000001141. The reversal of 1200000001104 is 4011000000021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 783649857600 + 416350143504 = 885240^2 + 645252^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62748664 + ... + 62767784.

Almost surely, 21200000001104 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 1200000001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696943990196).

1200000001104 is an abundant number, since it is smaller than the sum of its proper divisors (2193887979288).

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

1200000001104 is a wasteful number, since it uses less digits than its factorization.

1200000001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23725 (or 23716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200000001104 its reverse (4011000000021), we get a palindrome (5211000001125).

The spelling of 1200000001104 in words is "one trillion, two hundred billion, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4493 4656 6984 8986 13479 13968 17972 19121 26958 35944 38242 40437 53916 57363 71888 76484 80874 107832 114726 152968 161748 172089 215664 229452 305936 323496 344178 435821 458904 646992 688356 871642 917808 1307463 1376712 1743284 1854737 2614926 2753424 3486568 3709474 3922389 5229852 5564211 6973136 7418948 7844778 10459704 11128422 14837896 15689556 16692633 20919408 22256844 29675792 31379112 33385266 44513688 62758224 66770532 85910653 89027376 133541064 171821306 257731959 267082128 343642612 515463918 687285224 773195877 1030927836 1374570448 1546391754 2061855672 3092783508 4123711344 6185567016 8333333341 12371134032 16666666682 25000000023 33333333364 50000000046 66666666728 75000000069 100000000092 133333333456 150000000138 200000000184 300000000276 400000000368 600000000552 1200000001104