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1010022101011 = 721121671020077
BaseRepresentation
bin11101011001010100000…
…00100011000000010011
310120120001011202220111101
432230222000203000103
5113022011124213021
62051555302525231
7132654201130300
oct16545200430023
93516034686441
101010022101011
1135a391165800
121438ba436817
1374324723821
1436c574c00a7
151b41653ca91
hexeb2a023013

1010022101011 has 36 divisors (see below), whose sum is σ = 1299179501424. Its totient is φ = 782316685920.

The previous prime is 1010022100991. The next prime is 1010022101017. The reversal of 1010022101011 is 1101012200101.

It is not a de Polignac number, because 1010022101011 - 221 = 1010020003859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010022101017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480105 + ... + 1500181.

It is an arithmetic number, because the mean of its divisors is an integer number (36088319484).

Almost surely, 21010022101011 is an apocalyptic number.

1010022101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010022101011 is a deficient number, since it is larger than the sum of its proper divisors (289157400413).

1010022101011 is a wasteful number, since it uses less digits than its factorization.

1010022101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020280 (or 1020262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010022101011 its reverse (1101012200101), we get a palindrome (2111034301112).

The spelling of 1010022101011 in words is "one trillion, ten billion, twenty-two million, one hundred one thousand, eleven".

Divisors: 1 7 11 49 77 121 167 539 847 1169 1837 5929 8183 12859 20207 90013 141449 990143 1020077 7140539 11220847 49983773 78545929 123429317 170352859 549821503 864005219 1192470013 1873881449 6048036533 8347290091 13117170143 20612695939 91820191001 144288871573 1010022101011