Search a number
-
+
1100330310030 = 235731631267863
BaseRepresentation
bin10000000000110000110…
…011000001100110001110
310220012010220121020220120
4100000300303001212032
5121011434024410110
62201252413125410
7142332132213360
oct20006063014616
93805126536816
101100330310030
11394713857896
12159302489866
137c9b73591b3
143b3832cad30
151d94e99a870
hex10030cc198e

1100330310030 has 128 divisors (see below), whose sum is σ = 3120354164736. Its totient is φ = 243004406400.

The previous prime is 1100330310019. The next prime is 1100330310047. The reversal of 1100330310030 is 300130330011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1100330309991 and 1100330310009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3973879 + ... + 4241741.

It is an arithmetic number, because the mean of its divisors is an integer number (24377766912).

Almost surely, 21100330310030 is an apocalyptic number.

1100330310030 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 1100330310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560177082368).

1100330310030 is an abundant number, since it is smaller than the sum of its proper divisors (2020023854706).

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

1100330310030 is a wasteful number, since it uses less digits than its factorization.

1100330310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268542.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1100330310030 its reverse (300130330011), we get a palindrome (1400460640041).

It can be divided in two parts, 1100330 and 310030, that added together give a triangular number (1410360 = T1679).

The spelling of 1100330310030 in words is "one trillion, one hundred billion, three hundred thirty million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 631 651 930 1085 1262 1302 1893 2170 3155 3255 3786 4417 6310 6510 8834 9465 13251 18930 19561 22085 26502 39122 44170 58683 66255 97805 117366 132510 136927 195610 267863 273854 293415 410781 535726 586830 684635 803589 821562 1339315 1369270 1607178 1875041 2053905 2678630 3750082 4017945 4107810 5625123 8035890 8303753 9375205 11250246 16607506 18750410 24911259 28125615 41518765 49822518 56251230 58126271 83037530 116252542 124556295 169021553 174378813 249112590 290631355 338043106 348757626 507064659 581262710 845107765 871894065 1014129318 1183150871 1690215530 1743788130 2366301742 2535323295 3549452613 5070646590 5239668143 5915754355 7098905226 10479336286 11831508710 15719004429 17747263065 26198340715 31438008858 35494526130 36677677001 52396681430 73355354002 78595022145 110033031003 157190044290 183388385005 220066062006 366776770010 550165155015 1100330310030