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11200101120221 = 1311312136285493
BaseRepresentation
bin1010001011111011101000…
…0011000111100011011101
31110122201102022012210200012
42202332322003013203131
52432000301341321341
635453131101013005
72234115642506426
oct242767203074335
943581368183605
1011200101120221
113628a33107242
12130a7a3254165
1363321b689880
142aa132c5a64d
151465189550eb
hexa2fba0c78dd

11200101120221 has 16 divisors (see below), whose sum is σ = 12178421186736. Its totient is φ = 10238613912576.

The previous prime is 11200101120119. The next prime is 11200101120319. The reversal of 11200101120221 is 12202110100211.

It can be written as a sum of positive squares in 8 ways, for example, as 6327866025625 + 4872235094596 = 2515525^2 + 2207314^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200101120221 - 226 = 11200034011357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11200101120196 and 11200101120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200101120521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360850 + ... + 4924643.

It is an arithmetic number, because the mean of its divisors is an integer number (761151324171).

Almost surely, 211200101120221 is an apocalyptic number.

It is an amenable number.

11200101120221 is a deficient number, since it is larger than the sum of its proper divisors (978320066515).

11200101120221 is a wasteful number, since it uses less digits than its factorization.

11200101120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286832.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11200101120221 its reverse (12202110100211), we get a palindrome (23402211220432).

The spelling of 11200101120221 in words is "eleven trillion, two hundred billion, one hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 113 1213 1469 15769 137069 1781897 6285493 81711409 710260709 7624303009 9233389217 99115939117 861546240017 11200101120221