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103320110320 = 2457244359497
BaseRepresentation
bin110000000111001011…
…0111100010011110000
3100212200120000102101121
41200032112330103300
53143044422012240
6115244204312024
710315240306300
oct1401626742360
9325616012347
10103320110320
113a8aa566129
1218035842614
13998761346b
145001d93600
152a4a96104a
hex180e5bc4f0

103320110320 has 120 divisors (see below), whose sum is σ = 280074221424. Its totient is φ = 35343479808.

The previous prime is 103320110303. The next prime is 103320110329. The reversal of 103320110320 is 23011023301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103320110294 and 103320110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320110329) 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 23 ways as a sum of consecutive naturals, for example, 1706812 + ... + 1766308.

Almost surely, 2103320110320 is an apocalyptic number.

103320110320 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 103320110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140037110712).

103320110320 is an abundant number, since it is smaller than the sum of its proper divisors (176754111104).

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

103320110320 is a wasteful number, since it uses less digits than its factorization.

103320110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59967 (or 59954 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103320110320 its reverse (23011023301), we get a palindrome (126331133621).

The spelling of 103320110320 in words is "one hundred three billion, three hundred twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 443 490 560 784 886 980 1772 1960 2215 3101 3544 3920 4430 6202 7088 8860 12404 15505 17720 21707 24808 31010 35440 43414 49616 59497 62020 86828 108535 118994 124040 173656 217070 237988 248080 297485 347312 416479 434140 475976 594970 832958 868280 951952 1189940 1665916 1736560 2082395 2379880 2915353 3331832 4164790 4759760 5830706 6663664 8329580 11661412 14576765 16659160 23322824 26357171 29153530 33318320 46645648 52714342 58307060 105428684 116614120 131785855 184500197 210857368 233228240 263571710 369000394 421714736 527143420 738000788 922500985 1054286840 1291501379 1476001576 1845001970 2108573680 2583002758 2952003152 3690003940 5166005516 6457506895 7380007880 10332011032 12915013790 14760015760 20664022064 25830027580 51660055160 103320110320