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1010022201001 = 11419918123869
BaseRepresentation
bin11101011001010100000…
…00111011011010101001
310120120001011221222122201
432230222000323122221
5113022011140413001
62051555305020201
7132654202024642
oct16545200733251
93516034858581
101010022201001
1135a391223940
121438ba484661
137432475a1a8
1436c575086c9
151b41655c501
hexeb2a03b6a9

1010022201001 has 16 divisors (see below), whose sum is σ = 1104638673600. Its totient is φ = 915872443200.

The previous prime is 1010022200981. The next prime is 1010022201007. The reversal of 1010022201001 is 1001022200101.

1010022201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010022201001 - 229 = 1009485330089 is a prime.

It is a super-3 number, since 3×10100222010013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010022201007) 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, 42303295 + ... + 42327163.

It is an arithmetic number, because the mean of its divisors is an integer number (69039917100).

Almost surely, 21010022201001 is an apocalyptic number.

1010022201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010022201001 is a deficient number, since it is larger than the sum of its proper divisors (94616472599).

1010022201001 is a wasteful number, since it uses less digits than its factorization.

1010022201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33480.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010022201001 its reverse (1001022200101), we get a palindrome (2011044401102).

The spelling of 1010022201001 in words is "one trillion, ten billion, twenty-two million, two hundred one thousand, one".

Divisors: 1 11 419 4609 9181 23869 100991 262559 3846839 10001111 42315229 110012221 219141289 2410554179 91820200091 1010022201001