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1001021020131 = 311191596524753
BaseRepresentation
bin11101001000100011000…
…00001001011111100011
310112200210212122121210110
432210101200021133203
5112400042340121011
62043510202302403
7132215143165056
oct16442140113743
93480725577713
101001021020131
113565922a6490
12142007ab7a03
137351b985572
1436641ca6a9d
151b08b1eaba6
hexe9118097e3

1001021020131 has 16 divisors (see below), whose sum is σ = 1532663763840. Its totient is φ = 574748910720.

The previous prime is 1001021020117. The next prime is 1001021020133. The reversal of 1001021020131 is 1310201201001.

It is not a de Polignac number, because 1001021020131 - 25 = 1001021020099 is a prime.

It is a super-2 number, since 2×10010210201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001021020133) 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, 798261750 + ... + 798263003.

It is an arithmetic number, because the mean of its divisors is an integer number (95791485240).

Almost surely, 21001021020131 is an apocalyptic number.

1001021020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001021020131 is a deficient number, since it is larger than the sum of its proper divisors (531642743709).

1001021020131 is a wasteful number, since it uses less digits than its factorization.

1001021020131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596524786.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1001021020131 its reverse (1310201201001), we get a palindrome (2311222221132).

The spelling of 1001021020131 in words is "one trillion, one billion, twenty-one million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 627 1596524753 4789574259 17561772283 30333970307 52685316849 91001910921 333673673377 1001021020131