Search a number
-
+
103130100330 = 235173110363331
BaseRepresentation
bin110000000001100001…
…0000111001001101010
3100212012022110220200120
41200003002013021222
53142202301202310
6115213255544110
710310442250305
oct1400302071152
9325168426616
10103130100330
113a812286884
1217ba208b036
13995714630a
144dc4a51b3c
152a38e2bb70
hex180308726a

103130100330 has 128 divisors (see below), whose sum is σ = 273156489216. Its totient is φ = 24805094400.

The previous prime is 103130100319. The next prime is 103130100349. The reversal of 103130100330 is 33001031301.

It is a super-2 number, since 2×1031301003302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1596765 + ... + 1660095.

It is an arithmetic number, because the mean of its divisors is an integer number (2134035072).

Almost surely, 2103130100330 is an apocalyptic number.

103130100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136578244608).

103130100330 is an abundant number, since it is smaller than the sum of its proper divisors (170026388886).

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

103130100330 is a wasteful number, since it uses less digits than its factorization.

103130100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63492.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103130100330 its reverse (33001031301), we get a palindrome (136131131631).

The spelling of 103130100330 in words is "one hundred three billion, one hundred thirty million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 103 155 170 186 206 255 309 310 465 510 515 527 618 930 1030 1054 1545 1581 1751 2635 3090 3162 3193 3502 5253 5270 6386 7905 8755 9579 10506 15810 15965 17510 19158 26265 31930 47895 52530 54281 63331 95790 108562 126662 162843 189993 271405 316655 325686 379986 542810 633310 814215 949965 1076627 1628430 1899930 1963261 2153254 3229881 3926522 5383135 5889783 6459762 6523093 9816305 10766270 11779566 13046186 16149405 19569279 19632610 29448915 32298810 32615465 33375437 39138558 58897830 65230930 66750874 97846395 100126311 110892581 166877185 195692790 200252622 202215883 221785162 332677743 333754370 404431766 500631555 554462905 606647649 665355486 1001263110 1011079415 1108925810 1213295298 1663388715 2022158830 3033238245 3326777430 3437670011 6066476490 6875340022 10313010033 17188350055 20626020066 34376700110 51565050165 103130100330