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3000101013 = 327132436553
BaseRepresentation
bin1011001011010001…
…1110100010010101
321202002012220220100
42302310132202111
522121011213023
61213410324313
7134226303120
oct26264364225
97662186810
103000101013
1112aa52a328
126b8889699
1338a71b500
142066313b7
151285b3c43
hexb2d1e895

3000101013 has 72 divisors (see below), whose sum is σ = 5488372032. Its totient is φ = 1545433344.

The previous prime is 3000100973. The next prime is 3000101047. The reversal of 3000101013 is 3101010003.

3000101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3000101013 - 26 = 3000100949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3000100986 and 3000101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000101053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454545 + ... + 461097.

Almost surely, 23000101013 is an apocalyptic number.

It is an amenable number.

3000101013 is a deficient number, since it is larger than the sum of its proper divisors (2488271019).

3000101013 is a wasteful number, since it uses less digits than its factorization.

3000101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3000101013 is about 54773.1778610663. The cubic root of 3000101013 is about 1442.2657574542.

Adding to 3000101013 its reverse (3101010003), we get a palindrome (6101111016).

The spelling of 3000101013 in words is "three billion, one hundred one thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 169 273 301 387 507 559 819 903 1183 1521 1677 2709 3549 3913 5031 6553 7267 10647 11739 19659 21801 35217 45871 50869 58977 65403 85189 137613 152607 255567 281779 412839 457821 596323 766701 845337 1107457 1788969 1972453 2536011 3322371 3663127 5366907 5917359 7752199 9967113 10989381 17752077 23256597 25641889 32968143 47620651 69769791 76925667 142861953 230777001 333344557 428585859 1000033671 3000101013