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130121020003 = 13195918149331
BaseRepresentation
bin111100100101111010…
…0010011001001100011
3110102212100122200212011
41321023310103021203
54112441440120003
6135435441013351
712254343264232
oct1711364231143
9412770580764
10130121020003
1150202a18267
1221275324257
13c368c97ac0
1464255acb19
1535b87bb46d
hex1e4bd13263

130121020003 has 32 divisors (see below), whose sum is σ = 150837523200. Its totient is φ = 111241123200.

The previous prime is 130121019991. The next prime is 130121020009. The reversal of 130121020003 is 300020121031.

It is a cyclic number.

It is not a de Polignac number, because 130121020003 - 221 = 130118922851 is a prime.

It is a super-2 number, since 2×1301210200032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (130121020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613048 + ... + 2662378.

It is an arithmetic number, because the mean of its divisors is an integer number (4713672600).

Almost surely, 2130121020003 is an apocalyptic number.

130121020003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130121020003 is a deficient number, since it is larger than the sum of its proper divisors (20716503197).

130121020003 is a wasteful number, since it uses less digits than its factorization.

130121020003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49603.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 130121020003 its reverse (300020121031), we get a palindrome (430141141034).

The spelling of 130121020003 in words is "one hundred thirty billion, one hundred twenty-one million, twenty thousand, three".

Divisors: 1 13 19 59 181 247 767 1121 2353 3439 10679 14573 44707 49331 138827 202901 641303 937289 2637713 2910529 8928911 12184757 37836877 55300051 116075843 169649309 526805749 718900663 2205441017 6848474737 10009309231 130121020003