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1000055100 = 22352111791693
BaseRepresentation
bin111011100110111…
…010000100111100
32120200210001200210
4323212322010330
54022003230400
6243122352420
733532220352
oct7346720474
92520701623
101000055100
11473561220
1223aabb710
1312c2592a5
1496b637d2
155cbe2950
hex3b9ba13c

1000055100 has 144 divisors (see below), whose sum is σ = 3176046720. Its totient is φ = 240940800.

The previous prime is 1000055051. The next prime is 1000055117. The reversal of 1000055100 is 15500001.

It is a super-2 number, since 2×10000551002 = 2000220406072020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589854 + ... + 591546.

It is an arithmetic number, because the mean of its divisors is an integer number (22055880).

Almost surely, 21000055100 is an apocalyptic number.

1000055100 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 1000055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588023360).

1000055100 is an abundant number, since it is smaller than the sum of its proper divisors (2175991620).

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

1000055100 is a wasteful number, since it uses less digits than its factorization.

1000055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1000055100 is about 31623.6477971786. The cubic root of 1000055100 is about 1000.0183663293.

Adding to 1000055100 its reverse (15500001), we get a palindrome (1015555101).

The spelling of 1000055100 in words is "one billion, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 179 220 275 300 330 358 537 550 660 716 825 895 1074 1100 1650 1693 1790 1969 2148 2685 3300 3386 3580 3938 4475 5079 5370 5907 6772 7876 8465 8950 9845 10158 10740 11814 13425 16930 17900 18623 19690 20316 23628 25395 26850 29535 33860 37246 39380 42325 49225 50790 53700 55869 59070 74492 84650 93115 98450 101580 111738 118140 126975 147675 169300 186230 196900 223476 253950 279345 295350 303047 372460 465575 507900 558690 590700 606094 909141 931150 1117380 1212188 1396725 1515235 1818282 1862300 2793450 3030470 3333517 3636564 4545705 5586900 6060940 6667034 7576175 9091410 10000551 13334068 15152350 16667585 18182820 20001102 22728525 30304700 33335170 40002204 45457050 50002755 66670340 83337925 90914100 100005510 166675850 200011020 250013775 333351700 500027550 1000055100