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1004411021031 = 3211191093748823
BaseRepresentation
bin11101001110110111000…
…11111110011011100111
310120000120010112111210100
432213123203332123213
5112424013210133111
62045230421555143
7132365145545445
oct16473343763347
93500503474710
101004411021031
11357a71922320
121427b3275ab3
137393c0ba062
14368841cdb95
151b1d8b2a756
hexe9db8fe6e7

1004411021031 has 48 divisors (see below), whose sum is σ = 1666195165440. Its totient is φ = 576630783360.

The previous prime is 1004411020999. The next prime is 1004411021057. The reversal of 1004411021031 is 1301201144001.

1004411021031 is a `hidden beast` number, since 1 + 0 + 0 + 441 + 10 + 210 + 3 + 1 = 666.

It is not a de Polignac number, because 1004411021031 - 25 = 1004411020999 is a prime.

It is a super-2 number, since 2×10044110210312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004411020995 and 1004411021013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004411022031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20548086 + ... + 20596908.

It is an arithmetic number, because the mean of its divisors is an integer number (34712399280).

Almost surely, 21004411021031 is an apocalyptic number.

1004411021031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004411021031 is a deficient number, since it is larger than the sum of its proper divisors (661784144409).

1004411021031 is a wasteful number, since it uses less digits than its factorization.

1004411021031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59796 (or 59793 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1004411021031 its reverse (1301201144001), we get a palindrome (2305612165032).

The spelling of 1004411021031 in words is "one trillion, four billion, four hundred eleven million, twenty-one thousand, thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 10937 32811 48823 98433 120307 146469 207803 360921 439407 537053 623409 927637 1082763 1611159 1870227 2285833 2782911 4833477 6857499 8348733 10204007 20572497 30612021 91836063 533977151 1601931453 4805794359 5873748661 10145565869 17621245983 30436697607 52863737949 91310092821 111601224559 334803673677 1004411021031