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11109145500 = 22325315116349
BaseRepresentation
bin10100101100010100…
…00001101110011100
31001200012211001201100
422112022001232130
5140222420124000
65034203313100
7542203115205
oct122612015634
931605731640
1011109145500
114790906492
1221a051b790
131080720a9b
147755a25ac
1545044da00
hex296281b9c

11109145500 has 144 divisors (see below), whose sum is σ = 35279899200. Its totient is φ = 2942640000.

The previous prime is 11109145493. The next prime is 11109145571. The reversal of 11109145500 is 554190111.

11109145500 is a `hidden beast` number, since 1 + 1 + 10 + 9 + 145 + 500 = 666.

It is a super-2 number, since 2×111091455002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671326 + ... + 687674.

It is an arithmetic number, because the mean of its divisors is an integer number (244999300).

Almost surely, 211109145500 is an apocalyptic number.

11109145500 is a gapful number since it is divisible by the number (10) 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 11109145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639949600).

11109145500 is an abundant number, since it is smaller than the sum of its proper divisors (24170753700).

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

11109145500 is a wasteful number, since it uses less digits than its factorization.

11109145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525 (or 16510 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11109145500 in words is "eleven billion, one hundred nine million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 151 180 225 250 300 302 375 450 453 500 604 750 755 900 906 1125 1359 1500 1510 1812 2250 2265 2718 3020 3775 4500 4530 5436 6795 7550 9060 11325 13590 15100 16349 18875 22650 27180 32698 33975 37750 45300 49047 56625 65396 67950 75500 81745 98094 113250 135900 147141 163490 169875 196188 226500 245235 294282 326980 339750 408725 490470 588564 679500 735705 817450 980940 1226175 1471410 1634900 2043625 2452350 2468699 2942820 3678525 4087250 4904700 4937398 6130875 7357050 7406097 8174500 9874796 12261750 12343495 14714100 14812194 18392625 22218291 24523500 24686990 29624388 36785250 37030485 44436582 49373980 61717475 73570500 74060970 88873164 111091455 123434950 148121940 185152425 222182910 246869900 308587375 370304850 444365820 555457275 617174750 740609700 925762125 1110914550 1234349500 1851524250 2221829100 2777286375 3703048500 5554572750 11109145500