Search a number
-
+
11001122111430 = 2335117694816751
BaseRepresentation
bin1010000000010110010111…
…1110011011111111000110
31102221200211010002211211000
42200011211332123333012
52420220244230031210
635221502402154130
72213543030031243
oct240054576337706
942850733084730
1011001122111430
1135616056a6930
121298111652946
1361a52aa47209
142a06585cc5ca
1514126ee5bac0
hexa0165f9bfc6

11001122111430 has 128 divisors (see below), whose sum is σ = 32044887705600. Its totient is φ = 2663470080000.

The previous prime is 11001122111387. The next prime is 11001122111491. The reversal of 11001122111430 is 3411122110011.

11001122111430 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 1 + 221 + 11 + 430 = 666.

It is a super-2 number, since 2×110011221114302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 124446 + ... + 4692305.

It is an arithmetic number, because the mean of its divisors is an integer number (250350685200).

Almost surely, 211001122111430 is an apocalyptic number.

11001122111430 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 11001122111430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022443852800).

11001122111430 is an abundant number, since it is smaller than the sum of its proper divisors (21043765594170).

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

11001122111430 is a wasteful number, since it uses less digits than its factorization.

11001122111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817547 (or 4817541 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11001122111430 its reverse (3411122110011), we get a palindrome (14412244221441).

The spelling of 11001122111430 in words is "eleven trillion, one billion, one hundred twenty-two million, one hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 769 990 1485 1538 2307 2970 3845 4614 6921 7690 8459 11535 13842 16918 20763 23070 25377 34605 41526 42295 50754 69210 76131 84590 103815 126885 152262 207630 228393 253770 380655 456786 761310 1141965 2283930 4816751 9633502 14450253 24083755 28900506 43350759 48167510 52984261 72251265 86701518 105968522 130052277 144502530 158952783 216753795 260104554 264921305 317905566 433507590 476858349 529842610 650261385 794763915 953716698 1300522770 1430575047 1589527830 2384291745 2861150094 3704081519 4768583490 7152875235 7408163038 11112244557 14305750470 18520407595 22224489114 33336733671 37040815190 40744896709 55561222785 66673467342 81489793418 100010201013 111122445570 122234690127 166683668355 200020402026 203724483545 244469380254 333367336710 366704070381 407448967090 500051005065 611173450635 733408140762 1000102010130 1100112211143 1222346901270 1833520351905 2200224422286 3667040703810 5500561055715 11001122111430