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130103100333333 = 33371249186755849
BaseRepresentation
bin11101100101001111111101…
…000101000101110100010101
3122001122201211202110212211000
4131211033331011011310111
5114023102122141131313
61140412312243533513
736255432053113611
oct3545177505056425
9561581752425730
10130103100333333
11385004623a2686
1212712a2908a299
1357798924a859a
14241b048ca2341
151009430a95673
hex7653fd145d15

130103100333333 has 64 divisors (see below), whose sum is σ = 198222820000000. Its totient is φ = 84276958851072.

The previous prime is 130103100333281. The next prime is 130103100333337. The reversal of 130103100333333 is 333333001301031.

130103100333333 is a `hidden beast` number, since 1 + 3 + 0 + 10 + 310 + 0 + 3 + 3 + 3 + 333 = 666.

It is not a de Polignac number, because 130103100333333 - 28 = 130103100333077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130103100333297 and 130103100333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130103100333337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2329523193 + ... + 2329579041.

It is an arithmetic number, because the mean of its divisors is an integer number (3097231562500).

Almost surely, 2130103100333333 is an apocalyptic number.

It is an amenable number.

130103100333333 is a deficient number, since it is larger than the sum of its proper divisors (68119719666667).

130103100333333 is a wasteful number, since it uses less digits than its factorization.

130103100333333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59011 (or 59005 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 130103100333333 its reverse (333333001301031), we get a palindrome (463436101634364).

The spelling of 130103100333333 in words is "one hundred thirty trillion, one hundred three billion, one hundred million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 999 1249 1867 3747 5601 11241 16803 33723 46213 50409 55849 69079 138639 167547 207237 415917 502641 621711 1247751 1507923 1865133 2066413 2331883 6199239 6995649 18597717 20986947 55793151 62960841 69755401 86279671 104270083 209266203 258839013 312810249 627798609 776517039 938430747 1883395827 2329551117 2580949837 2815292241 3857993071 7742849511 11573979213 23228548533 34721937639 69685645599 104165812917 130233333667 390700001001 1172100003003 3516300009009 4818633345679 14455900037037 43367700111111 130103100333333