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1010022001011 = 321753124555679
BaseRepresentation
bin11101011001010100000…
…00001010100101110011
310120120001011120211022200
432230222000022211303
5113022011113013021
62051555300434243
7132654200232612
oct16545200124563
93516034524280
101010022001011
1135a3910a7661
121438ba3a8983
13743246ba15a
1436c57495879
151b41651d126
hexeb2a00a973

1010022001011 has 24 divisors (see below), whose sum is σ = 1573885572480. Its totient is φ = 621781944576.

The previous prime is 1010022000983. The next prime is 1010022001019. The reversal of 1010022001011 is 1101002200101.

It is a happy number.

It is not a de Polignac number, because 1010022001011 - 26 = 1010022000947 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010022000984 and 1010022001002.

It is not an unprimeable number, because it can be changed into a prime (1010022001019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62269731 + ... + 62285948.

It is an arithmetic number, because the mean of its divisors is an integer number (65578565520).

Almost surely, 21010022001011 is an apocalyptic number.

1010022001011 is a deficient number, since it is larger than the sum of its proper divisors (563863571469).

1010022001011 is a wasteful number, since it uses less digits than its factorization.

1010022001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124555755 (or 124555752 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010022001011 its reverse (1101002200101), we get a palindrome (2111024201112).

The spelling of 1010022001011 in words is "one trillion, ten billion, twenty-two million, one thousand, eleven".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 124555679 373667037 1121001111 2117446543 6352339629 6601450987 19057018887 19804352961 59413058883 112224666779 336674000337 1010022001011