Search a number
-
+
1151334441030 = 235412275697247
BaseRepresentation
bin10000110000010000111…
…000010110000001000110
311002001210110212120022110
4100300100320112001012
5122330413104103110
62240525444441450
7146116066163634
oct20602070260106
94061713776273
101151334441030
11404307305374
121671776a9286
1384755151477
143da21122354
151ee3758aa20
hex10c10e16046

1151334441030 has 128 divisors (see below), whose sum is σ = 2848457041920. Its totient is φ = 297649448960.

The previous prime is 1151334441017. The next prime is 1151334441031. The reversal of 1151334441030 is 301444331511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151334441031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158866867 + ... + 158874113.

It is an arithmetic number, because the mean of its divisors is an integer number (22253570640).

Almost surely, 21151334441030 is an apocalyptic number.

1151334441030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151334441030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424228520960).

1151334441030 is an abundant number, since it is smaller than the sum of its proper divisors (1697122600890).

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

1151334441030 is a wasteful number, since it uses less digits than its factorization.

1151334441030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1151334441030 its reverse (301444331511), we get a palindrome (1452778772541).

The spelling of 1151334441030 in words is "one trillion, one hundred fifty-one billion, three hundred thirty-four million, four hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 227 246 410 454 569 615 681 1135 1138 1230 1362 1707 2270 2845 3405 3414 5690 6810 7247 8535 9307 14494 17070 18614 21741 23329 27921 36235 43482 46535 46658 55842 69987 72470 93070 108705 116645 129163 139605 139974 217410 233290 258326 279210 297127 349935 387489 594254 645815 699870 774978 891381 1291630 1485635 1645069 1782762 1937445 2971270 3290138 3874890 4123543 4456905 4935207 5295683 8225345 8247086 8913810 9870414 10591366 12370629 15887049 16450690 20617715 24676035 24741258 26478415 31774098 41235430 49352070 52956830 61853145 67447829 79435245 123706290 134895658 158870490 169065263 202343487 337239145 338130526 404686974 507195789 674478290 845326315 936044261 1011717435 1014391578 1690652630 1872088522 2023434870 2535978945 2808132783 4680221305 5071957890 5616265566 9360442610 14040663915 28081327830 38377814701 76755629402 115133444103 191889073505 230266888206 383778147010 575667220515 1151334441030