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11100210210020 = 22515711932963201
BaseRepresentation
bin1010000110000111100000…
…0101100010010011100100
31110022011120201211210111102
42201201320011202103210
52423331212303210040
635335211032055232
72223651362002121
oct241417005422344
943264521753442
1011100210210020
11359a6333109a8
1212b3365b34518
1362698c654109
142a53784b5748
15143b1e0b8515
hexa18781624e4

11100210210020 has 48 divisors (see below), whose sum is σ = 23478587315568. Its totient is φ = 4408103731200.

The previous prime is 11100210210013. The next prime is 11100210210101. The reversal of 11100210210020 is 2001201200111.

It can be written as a sum of positive squares in 8 ways, for example, as 2649758884864 + 8450451325156 = 1627808^2 + 2906966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11100210209983 and 11100210210010.

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 15 ways as a sum of consecutive naturals, for example, 2264420 + ... + 5227620.

It is an arithmetic number, because the mean of its divisors is an integer number (489137235741).

Almost surely, 211100210210020 is an apocalyptic number.

11100210210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100210210020 is an abundant number, since it is smaller than the sum of its proper divisors (12378377105548).

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

11100210210020 is a wasteful number, since it uses less digits than its factorization.

11100210210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964560 (or 2964558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11100210210020 its reverse (2001201200111), we get a palindrome (13101411410131).

Subtracting from 11100210210020 its reverse (2001201200111), we obtain a palindrome (9099009009909).

The spelling of 11100210210020 in words is "eleven trillion, one hundred billion, two hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1193 1570 2386 3140 4772 5965 11930 23860 187301 374602 749204 936505 1873010 2963201 3746020 5926402 11852804 14816005 29632010 59264020 465222557 930445114 1860890228 2326112785 3535098793 4652225570 7070197586 9304451140 14140395172 17675493965 35350987930 70701975860 555010510501 1110021021002 2220042042004 2775052552505 5550105105010 11100210210020