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1030113332001 = 3213101643135571
BaseRepresentation
bin11101111110101111000…
…10100000101100100001
310122110220100222012010200
432333113202200230201
5113334133003111001
62105121051415413
7134265111564615
oct16772742405441
93573810865120
101030113332001
11367961136a36
12147786a54569
13761a6c917a0
1437c01953345
151bbe02ca086
hexefd78a0b21

1030113332001 has 48 divisors (see below), whose sum is σ = 1620792543552. Its totient is φ = 626658768000.

The previous prime is 1030113331987. The next prime is 1030113332023. The reversal of 1030113332001 is 1002333110301.

It is a happy number.

1030113332001 is a `hidden beast` number, since 10 + 301 + 1 + 33 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 1030113332001 - 218 = 1030113069857 is a prime.

It is a super-2 number, since 2×10301133320012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030113332051) 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, 7530546 + ... + 7666116.

It is an arithmetic number, because the mean of its divisors is an integer number (33766511324).

Almost surely, 21030113332001 is an apocalyptic number.

It is an amenable number.

1030113332001 is a deficient number, since it is larger than the sum of its proper divisors (590679211551).

1030113332001 is a wasteful number, since it uses less digits than its factorization.

1030113332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136334 (or 136331 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1030113332001 its reverse (1002333110301), we get a palindrome (2032446442302).

The spelling of 1030113332001 in words is "one trillion, thirty billion, one hundred thirteen million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 13 39 101 117 303 643 909 1313 1929 3939 5787 8359 11817 25077 64943 75231 135571 194829 406713 584487 844259 1220139 1762423 2532777 5287269 7598331 13692671 15861807 41078013 87172153 123234039 178004723 261516459 534014169 784549377 1133237989 1602042507 3399713967 8804387453 10199141901 26413162359 79239487077 114457036889 343371110667 1030113332001