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1001112013021 = 37103655340087
BaseRepresentation
bin11101001000101101110…
…11010000100011011101
310112201001012212112120111
432210112323100203131
5112400234133404041
62043523212450021
7132220326464341
oct16442673204335
93481035775514
101001112013021
113566296a581a
12142032479911
1373534794403
143664ddd1621
151b0941c1981
hexe916ed08dd

1001112013021 has 16 divisors (see below), whose sum is σ = 1038335643904. Its totient is φ = 964426829184.

The previous prime is 1001112013019. The next prime is 1001112013061. The reversal of 1001112013021 is 1203102111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001112013021 - 21 = 1001112013019 is a prime.

It is a super-2 number, since 2×10011120130212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001112012992 and 1001112013010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112013061) 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, 24953440 + ... + 24993526.

It is an arithmetic number, because the mean of its divisors is an integer number (64895977744).

Almost surely, 21001112013021 is an apocalyptic number.

It is an amenable number.

1001112013021 is a deficient number, since it is larger than the sum of its proper divisors (37223630883).

1001112013021 is a wasteful number, since it uses less digits than its factorization.

1001112013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46780.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001112013021 its reverse (1203102111001), we get a palindrome (2204214124022).

The spelling of 1001112013021 in words is "one trillion, one billion, one hundred twelve million, thirteen thousand, twenty-one".

Divisors: 1 37 103 3811 6553 40087 242461 674959 1483219 4128961 24973483 152771557 262690111 9719534107 27057081433 1001112013021