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103311321630 = 2351119910131553
BaseRepresentation
bin110000000110111010…
…1011010101000011110
3100212122221110220120120
41200031311122220132
53143040144243010
6115243252055410
710315102513266
oct1401565325036
9325587426516
10103311321630
113a8a5603050
1218032904566
13998585705a
145000b467a6
152a49cc6e70
hex180dd5aa1e

103311321630 has 128 divisors (see below), whose sum is σ = 272290636800. Its totient is φ = 24878684160.

The previous prime is 103311321623. The next prime is 103311321637. The reversal of 103311321630 is 36123113301.

It is an interprime number because it is at equal distance from previous prime (103311321623) and next prime (103311321637).

It is a self number, because there is not a number n which added to its sum of digits gives 103311321630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311321637) 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, 66522934 + ... + 66524486.

It is an arithmetic number, because the mean of its divisors is an integer number (2127270600).

Almost surely, 2103311321630 is an apocalyptic number.

103311321630 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 103311321630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136145318400).

103311321630 is an abundant number, since it is smaller than the sum of its proper divisors (168979315170).

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

103311321630 is a wasteful number, since it uses less digits than its factorization.

103311321630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103311321630 its reverse (36123113301), we get a palindrome (139434434931).

The spelling of 103311321630 in words is "one hundred three billion, three hundred eleven million, three hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 199 330 398 597 995 1013 1194 1553 1990 2026 2189 2985 3039 3106 4378 4659 5065 5970 6078 6567 7765 9318 10130 10945 11143 13134 15195 15530 17083 21890 22286 23295 30390 32835 33429 34166 46590 51249 55715 65670 66858 85415 102498 111430 167145 170830 201587 256245 309047 334290 403174 512490 604761 618094 927141 1007935 1209522 1545235 1573189 1854282 2015870 2217457 3023805 3090470 3146378 3399517 4434914 4635705 4719567 6047610 6652371 6799034 7865945 9271410 9439134 10198551 11087285 13304742 15731890 16997585 17305079 20397102 22174570 23597835 33261855 33995170 34610158 47195670 50992755 51915237 66523710 86525395 101985510 103830474 173050790 259576185 313064611 519152370 626129222 939193833 1565323055 1878387666 3130646110 3443710721 4695969165 6887421442 9391938330 10331132163 17218553605 20662264326 34437107210 51655660815 103311321630