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1011001110201 = 33127478361643
BaseRepresentation
bin11101011011001000101…
…11001010111010111001
310120122120101221201122000
432231210113022322321
5113031012241011301
62052240354251213
7133020356434425
oct16554427127271
93518511851560
101011001110201
1135a843851905
12143b32286b09
137444c4c15c4
1436d0b525b85
151b472474786
hexeb645caeb9

1011001110201 has 32 divisors (see below), whose sum is σ = 1509913067520. Its totient is φ = 668542995792.

The previous prime is 1011001110167. The next prime is 1011001110257. The reversal of 1011001110201 is 1020111001101.

It is not a de Polignac number, because 1011001110201 - 225 = 1010967555769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1011001118201) 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 31 ways as a sum of consecutive naturals, for example, 16370086 + ... + 16431728.

It is an arithmetic number, because the mean of its divisors is an integer number (47184783360).

Almost surely, 21011001110201 is an apocalyptic number.

It is an amenable number.

1011001110201 is a deficient number, since it is larger than the sum of its proper divisors (498911957319).

1011001110201 is a wasteful number, since it uses less digits than its factorization.

1011001110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66562 (or 66556 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011001110201 its reverse (1020111001101), we get a palindrome (2031112111302).

The spelling of 1011001110201 in words is "one trillion, eleven billion, one million, one hundred ten thousand, two hundred one".

Divisors: 1 3 9 27 127 381 1143 3429 4783 14349 43047 61643 129141 184929 554787 607441 1664361 1822323 5466969 7828661 16400907 23485983 70457949 211373847 294838469 884515407 2653546221 7960638663 37444485563 112333456689 337000370067 1011001110201