Search a number
-
+
10003130301010 = 2571173917579267
BaseRepresentation
bin1001000110010000100100…
…0001110011101001010010
31022102021211100110000112211
42101210021001303221102
52302342402324113020
633135212530142334
72051462615433310
oct221441101635122
938367740400484
1010003130301010
113207338301550
1211568101219aa
135773a2832542
14268222b730b0
1512530eb7485a
hex91909073a52

10003130301010 has 64 divisors (see below), whose sum is σ = 22478961576960. Its totient is φ = 3113639593920.

The previous prime is 10003130301001. The next prime is 10003130301013. The reversal of 10003130301010 is 1010303130001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10003130301013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8220604 + ... + 9358663.

It is an arithmetic number, because the mean of its divisors is an integer number (351233774640).

Almost surely, 210003130301010 is an apocalyptic number.

10003130301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10003130301010 is an abundant number, since it is smaller than the sum of its proper divisors (12475831275950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003130301010 is a wasteful number, since it uses less digits than its factorization.

10003130301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17580031.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10003130301010 its reverse (1010303130001), we get a palindrome (11013433431011).

The spelling of 10003130301010 in words is "ten trillion, three billion, one hundred thirty million, three hundred one thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 739 770 1478 3695 5173 7390 8129 10346 16258 25865 40645 51730 56903 81290 113806 284515 569030 17579267 35158534 87896335 123054869 175792670 193371937 246109738 386743874 615274345 966859685 1230548690 1353603559 1933719370 2707207118 6768017795 12991078313 13536035590 25982156626 64955391565 90937548191 129910783130 142901861443 181875096382 285803722886 454687740955 714509307215 909375481910 1000313030101 1429018614430 2000626060202 5001565150505 10003130301010