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11011020002100 = 22325229421878161
BaseRepresentation
bin1010000000111011001111…
…1011111001001100110100
31102222122100220201210021100
42200032303323321030310
52420401032110031400
635230220500250100
72214343224514326
oct240166373711464
942878326653240
1011011020002100
113565824809668
12129a0143a0930
1361b447532a61
142a0d16d71616
1514164dd9a100
hexa03b3ef9334

11011020002100 has 108 divisors (see below), whose sum is σ = 35703548850060. Its totient is φ = 2835021235200.

The previous prime is 11011020002083. The next prime is 11011020002131. The reversal of 11011020002100 is 120002011011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1628242352676 + 9382777649424 = 1276026^2 + 3063132^2 .

It is a super-2 number, since 2×110110200021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210912981 + ... + 210965180.

Almost surely, 211011020002100 is an apocalyptic number.

11011020002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011020002100 is an abundant number, since it is smaller than the sum of its proper divisors (24692528847960).

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

11011020002100 is a wasteful number, since it uses less digits than its factorization.

11011020002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421878210 (or 421878200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011020002100 its reverse (120002011011), we get a palindrome (11131022013111).

The spelling of 11011020002100 in words is "eleven trillion, eleven billion, twenty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 421878161 843756322 1265634483 1687512644 2109390805 2531268966 3796903449 4218781610 5062537932 6328172415 7593806898 8437563220 10546954025 12234466669 12656344830 15187613796 18984517245 21093908050 24468933338 25312689660 31640862075 36703400007 37969034490 42187816100 48937866676 61172333345 63281724150 73406800014 75938068980 94922586225 110110200021 122344666690 126563448300 146813600028 183517000035 189845172450 220220400042 244689333380 305861666725 367034000070 379690344900 440440800084 550551000105 611723333450 734068000140 917585000175 1101102000210 1223446666900 1835170000350 2202204000420 2752755000525 3670340000700 5505510001050 11011020002100