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11012012202100 = 22527213172873033
BaseRepresentation
bin1010000000111110111100…
…0100110101100001110100
31102222201221001201202210111
42200033233010311201310
52420410100110431400
635230503142432404
72214406633210600
oct240175704654164
942881831652714
1011012012202100
113566193895168
12129a250732704
1361b574c6b850
142a0daca4c500
151416ab03a3ba
hexa03ef135874

11012012202100 has 108 divisors (see below), whose sum is σ = 29935731805644. Its totient is φ = 3485120325120.

The previous prime is 11012012202011. The next prime is 11012012202143. The reversal of 11012012202100 is 120221021011.

It can be written as a sum of positive squares in 6 ways, for example, as 1280944076944 + 9731068125156 = 1131788^2 + 3119466^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86372817 + ... + 86500216.

Almost surely, 211012012202100 is an apocalyptic number.

11012012202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012012202100 is an abundant number, since it is smaller than the sum of its proper divisors (18923719603544).

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

11012012202100 is a wasteful number, since it uses less digits than its factorization.

11012012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172873074 (or 172873060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11012012202100 its reverse (120221021011), we get a palindrome (11132233223111).

The spelling of 11012012202100 in words is "eleven trillion, twelve billion, twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 172873033 345746066 691492132 864365165 1210111231 1728730330 2247349429 2420222462 3457460660 4321825825 4494698858 4840444924 6050556155 8470778617 8643651650 8989397716 11236747145 12101112310 15731446003 16941557234 17287303300 22473494290 24202224620 30252780775 31462892006 33883114468 42353893085 44946988580 56183735725 60505561550 62925784012 78657230015 84707786170 110120122021 112367471450 121011123100 157314460030 169415572340 211769465425 220240244042 224734942900 314628920060 393286150075 423538930850 440480488084 550600610105 786572300150 847077861700 1101201220210 1573144600300 2202402440420 2753003050525 5506006101050 11012012202100