Search a number
-
+
1100004312 = 2331117832953
BaseRepresentation
bin100000110010000…
…1011101111011000
32211122212000020110
41001210023233120
54223100114222
6301052524320
736154611441
oct10144135730
92748760213
101100004312
11514a18580
122684806a0
13146b82934
14a61402c8
156688730c
hex4190bbd8

1100004312 has 128 divisors (see below), whose sum is σ = 3215842560. Its totient is φ = 309841920.

The previous prime is 1100004299. The next prime is 1100004317. The reversal of 1100004312 is 2134000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100004317) 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, 371028 + ... + 373980.

It is an arithmetic number, because the mean of its divisors is an integer number (25123770).

Almost surely, 21100004312 is an apocalyptic number.

1100004312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607921280).

1100004312 is an abundant number, since it is smaller than the sum of its proper divisors (2115838248).

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

1100004312 is a wasteful number, since it uses less digits than its factorization.

1100004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1100004312 is about 33166.3129093362. The cubic root of 1100004312 is about 1032.2814643006.

Adding to 1100004312 its reverse (2134000011), we get a palindrome (3234004323).

The spelling of 1100004312 in words is "one billion, one hundred million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 83 88 102 132 136 166 187 204 249 264 332 374 408 498 561 664 748 913 996 1122 1411 1496 1826 1992 2244 2739 2822 2953 3652 4233 4488 5478 5644 5906 7304 8466 8859 10956 11288 11812 15521 16932 17718 21912 23624 31042 32483 33864 35436 46563 50201 62084 64966 70872 93126 97449 100402 124168 129932 150603 186252 194898 200804 245099 259864 301206 372504 389796 401608 490198 552211 602412 735297 779592 980396 1104422 1204824 1470594 1656633 1960792 2208844 2696089 2941188 3313266 4166683 4417688 5392178 5882376 6626532 8088267 8333366 10784356 12500049 13253064 16176534 16666732 21568712 25000098 32353068 33333464 45833513 50000196 64706136 91667026 100000392 137500539 183334052 275001078 366668104 550002156 1100004312