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1000021111221 = 311101300036337
BaseRepresentation
bin11101000110101011110…
…01110011000110110101
310112121020012010222122010
432203111321303012311
5112341020401024341
62043223042554433
7132151312123536
oct16432571630665
93477205128563
101000021111221
11356119935090
12141989068a19
13733bc77a9a2
143658918068d
151b02d536716
hexe8d5e731b5

1000021111221 has 16 divisors (see below), whose sum is σ = 1468977910848. Its totient is φ = 600072672000.

The previous prime is 1000021111183. The next prime is 1000021111261. The reversal of 1000021111221 is 1221111200001.

It is not a de Polignac number, because 1000021111221 - 210 = 1000021110197 is a prime.

It is a super-2 number, since 2×10000211112212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000021111197 and 1000021111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021111261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 150014836 + ... + 150021501.

It is an arithmetic number, because the mean of its divisors is an integer number (91811119428).

Almost surely, 21000021111221 is an apocalyptic number.

1000021111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000021111221 is a deficient number, since it is larger than the sum of its proper divisors (468956799627).

1000021111221 is a wasteful number, since it uses less digits than its factorization.

1000021111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300036452.

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

Adding to 1000021111221 its reverse (1221111200001), we get a palindrome (2221132311222).

The spelling of 1000021111221 in words is "one trillion, twenty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 300036337 900109011 3300399707 9901199121 30303670037 90911010111 333340370407 1000021111221