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100011020200 = 23527135495111
BaseRepresentation
bin101110100100100011…
…1110000111110101000
3100120010221101020010021
41131021013300332220
53114310310121300
6113535555130224
710140236434240
oct1351107607650
9316127336107
10100011020200
1139461682803
12174715a3974
13957ab9a780
144baa6ccb20
1529051b4d1a
hex17491f0fa8

100011020200 has 96 divisors (see below), whose sum is σ = 286185432960. Its totient is φ = 31651833600.

The previous prime is 100011020099. The next prime is 100011020273. The reversal of 100011020200 is 2020110001.

It is a super-2 number, since 2×1000110202002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2729356 + ... + 2765755.

It is an arithmetic number, because the mean of its divisors is an integer number (2981098260).

Almost surely, 2100011020200 is an apocalyptic number.

100011020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011020200 is an abundant number, since it is smaller than the sum of its proper divisors (186174412760).

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

100011020200 is a wasteful number, since it uses less digits than its factorization.

100011020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495147 (or 5495138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100011020200 its reverse (2020110001), we get a palindrome (102031130201).

The spelling of 100011020200 in words is "one hundred billion, eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 5495111 10990222 21980444 27475555 38465777 43960888 54951110 71436443 76931554 109902220 137377775 142872886 153863108 192328885 219804440 274755550 285745772 307726216 357182215 384657770 500055101 549511100 571491544 714364430 769315540 961644425 1000110202 1099022200 1428728860 1538631080 1785911075 1923288850 2000220404 2500275505 2857457720 3571822150 3846577700 4000440808 5000551010 7143644300 7693155400 10001102020 12501377525 14287288600 20002204040 25002755050 50005510100 100011020200