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103011102320 = 24571497971549
BaseRepresentation
bin101111111101111110…
…0001010111001110000
3100211220000120012002212
41133323330022321300
53141431320233240
6115153405231252
710304465631320
oct1377374127160
9324800505085
10103011102320
113a761099915
1217b6a262528
1399385b04a9
144db2d17280
152a2d773165
hex17fbf0ae70

103011102320 has 160 divisors (see below), whose sum is σ = 276076080000. Its totient is φ = 35014422528.

The previous prime is 103011102301. The next prime is 103011102331. The reversal of 103011102320 is 23201110301.

It is a super-2 number, since 2×1030111023202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103011102295 and 103011102304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66500906 + ... + 66502454.

It is an arithmetic number, because the mean of its divisors is an integer number (1725475500).

Almost surely, 2103011102320 is an apocalyptic number.

103011102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040000).

103011102320 is an abundant number, since it is smaller than the sum of its proper divisors (173064977680).

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

103011102320 is a wasteful number, since it uses less digits than its factorization.

103011102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103011102320 its reverse (23201110301), we get a palindrome (126212212621).

The spelling of 103011102320 in words is "one hundred three billion, eleven million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 280 298 560 596 745 797 1043 1192 1490 1549 1594 2086 2384 2980 3098 3188 3985 4172 5215 5579 5960 6196 6376 7745 7970 8344 10430 10843 11158 11920 12392 12752 15490 15940 16688 20860 21686 22316 24784 27895 30980 31880 41720 43372 44632 54215 55790 61960 63760 83440 86744 89264 108430 111580 118753 123920 173488 216860 223160 230801 237506 433720 446320 461602 475012 593765 831271 867440 923204 950024 1154005 1187530 1234553 1615607 1662542 1846408 1900048 2308010 2375060 2469106 3231214 3325084 3692816 4156355 4616020 4750120 4938212 6172765 6462428 6650168 8078035 8312710 8641871 9232040 9500240 9876424 12345530 12924856 13300336 16156070 16625420 17283742 18464080 19752848 24691060 25849712 32312140 33250840 34567484 43209355 49382120 64624280 66501680 69134968 86418710 98764240 129248560 138269936 172837420 183948397 345674840 367896794 691349680 735793588 919741985 1287638779 1471587176 1839483970 2575277558 2943174352 3678967940 5150555116 6438193895 7357935880 10301110232 12876387790 14715871760 20602220464 25752775580 51505551160 103011102320