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10211611201 = 11284393481
BaseRepresentation
bin10011000001010100…
…01101001001000001
3222100122221121010021
421200222031021001
5131403133024301
64405142133441
7511024156141
oct114052151101
928318847107
1010211611201
114370208700
121b8ba21281
13c697ab7bc
146cc2c8921
153eb75c8a1
hex260a8d241

10211611201 has 6 divisors (see below), whose sum is σ = 11224333106. Its totient is φ = 9283282800.

The previous prime is 10211611133. The next prime is 10211611247.

10211611201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8629481025 + 1582130176 = 92895^2 + 39776^2 .

It is not a de Polignac number, because 10211611201 - 27 = 10211611073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211611801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42196620 + ... + 42196861.

Almost surely, 210211611201 is an apocalyptic number.

10211611201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211611201 is a deficient number, since it is larger than the sum of its proper divisors (1012721905).

10211611201 is an equidigital number, since it uses as much as digits as its factorization.

10211611201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84393503 (or 84393492 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

The spelling of 10211611201 in words is "ten billion, two hundred eleven million, six hundred eleven thousand, two hundred one".

Divisors: 1 11 121 84393481 928328291 10211611201