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11000100021020 = 22511281182397607
BaseRepresentation
bin1010000000010010100100…
…0011011110001100011100
31102221121011212212021100122
42200010221003132030130
52420211201101133040
635221213131214112
72213505506303645
oct240045103361434
942847155767318
1011000100021020
113561130765210
121297a872a7338
1361a3c70742a6
142a059c9706cc
151412103651b5
hexa01290de31c

11000100021020 has 96 divisors (see below), whose sum is σ = 25304041598976. Its totient is φ = 3983574156800.

The previous prime is 11000100021019. The next prime is 11000100021067. The reversal of 11000100021020 is 2012000100011.

It is a junction number, because it is equal to n+sod(n) for n = 11000100020989 and 11000100021007.

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 31 ways as a sum of consecutive naturals, for example, 112649057 + ... + 112746663.

It is an arithmetic number, because the mean of its divisors is an integer number (263583766656).

Almost surely, 211000100021020 is an apocalyptic number.

11000100021020 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 11000100021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652020799488).

11000100021020 is an abundant number, since it is smaller than the sum of its proper divisors (14303941577956).

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

11000100021020 is a wasteful number, since it uses less digits than its factorization.

11000100021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99731 (or 99729 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000100021020 its reverse (2012000100011), we get a palindrome (13012100121031).

The spelling of 11000100021020 in words is "eleven trillion, one hundred million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1405 1823 2810 3091 3646 5620 6182 7292 9115 12364 15455 18230 20053 30910 36460 40106 61820 80212 97607 100265 195214 200530 390428 401060 488035 512263 976070 1024526 1073677 1952140 2049052 2147354 2561315 4294708 5122630 5368385 5634893 10245260 10736770 11269786 21473540 22539572 27427567 28174465 54855134 56348930 109710268 112697860 137137835 177937561 274275670 301703237 355875122 548551340 603406474 711750244 889687805 1206812948 1508516185 1779375610 1957313171 3017032370 3558751220 3914626342 6034064740 7829252684 9786565855 19573131710 39146263420 50000454641 100000909282 200001818564 250002273205 500004546410 550005001051 1000009092820 1100010002102 2200020004204 2750025005255 5500050010510 11000100021020