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1011121100022 = 2311178391074109
BaseRepresentation
bin11101011011010111000…
…00111001010011110110
310120122212202201211201110
432231223200321103312
5113031234000200042
62052300322135450
7133023344354115
oct16555340712366
93518782654643
101011121100022
1135a8a5556a50
12143b664b1586
137446b3139b7
1436d1d43bc7c
151b47cc7709c
hexeb6b8394f6

1011121100022 has 64 divisors (see below), whose sum is σ = 2338638220800. Its totient is φ = 288032801280.

The previous prime is 1011121100009. The next prime is 1011121100051. The reversal of 1011121100022 is 2200011211101.

It is a junction number, because it is equal to n+sod(n) for n = 1011121099980 and 1011121100007.

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 31 ways as a sum of consecutive naturals, for example, 404304 + ... + 1478412.

It is an arithmetic number, because the mean of its divisors is an integer number (36541222200).

Almost surely, 21011121100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011121100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169319110400).

1011121100022 is an abundant number, since it is smaller than the sum of its proper divisors (1327517120778).

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

1011121100022 is a wasteful number, since it uses less digits than its factorization.

1011121100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074981.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011121100022 its reverse (2200011211101), we get a palindrome (3211132311123).

The spelling of 1011121100022 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 839 1122 1678 2517 5034 9229 14263 18458 27687 28526 42789 55374 85578 156893 313786 470679 941358 1074109 2148218 3222327 6444654 11815199 18259853 23630398 35445597 36519706 54779559 70891194 109559118 200858383 401716766 602575149 901177451 1205150298 1802354902 2703532353 5407064706 9912951961 15320016667 19825903922 29738855883 30640033334 45960050001 59477711766 91920100002 168520183337 337040366674 505560550011 1011121100022