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1330002101021 = 1124713713912281
BaseRepresentation
bin10011010110101010010…
…011011000001100011101
311201010222010121002122212
4103112222103120030131
5133242321014213041
62454554452450205
7165042456220556
oct23265223301435
94633863532585
101330002101021
11473061570800
1219591b019965
1398559a46939
144852ddbd32d
15248e2d168eb
hex135aa4d831d

1330002101021 has 48 divisors (see below), whose sum is σ = 1514848124160. Its totient is φ = 1166183462400.

The previous prime is 1330002100943. The next prime is 1330002101041. The reversal of 1330002101021 is 1201012000331.

It is a de Polignac number, because none of the positive numbers 2k-1330002101021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330002100987 and 1330002101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330002101041) 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, 108291401 + ... + 108303681.

It is an arithmetic number, because the mean of its divisors is an integer number (31559335920).

Almost surely, 21330002101021 is an apocalyptic number.

1330002101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1330002101021 is a deficient number, since it is larger than the sum of its proper divisors (184846023139).

1330002101021 is a wasteful number, since it uses less digits than its factorization.

1330002101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12626 (or 12615 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1330002101021 its reverse (1201012000331), we get a palindrome (2531014101352).

The spelling of 1330002101021 in words is "one trillion, three hundred thirty billion, two million, one hundred one thousand, twenty-one".

Divisors: 1 11 47 121 137 139 517 1507 1529 5687 6439 6533 12281 16577 16819 19043 70829 71863 135091 209473 577207 779119 790493 895021 1486001 1682497 1707059 2304203 6349277 9845231 18507467 18777649 69842047 79077359 80231773 108297541 203582137 206554139 233867083 869850949 882549503 2572537913 9568360439 9708044533 10991752901 28297917043 120909281911 1330002101021