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103322333320 = 2352923179689
BaseRepresentation
bin110000000111001111…
…1011011000010001000
3100212200201012100202221
41200032133123002020
53143101004131240
6115244324103424
710315265225323
oct1401637330210
9325621170687
10103322333320
113a900844318
1218036534b74
139987c1124b
1450023b17ba
152a4ac4ea4a
hex180e7db088

103322333320 has 96 divisors (see below), whose sum is σ = 241552513800. Its totient is φ = 39773812736.

The previous prime is 103322333273. The next prime is 103322333347. The reversal of 103322333320 is 23333223301.

It can be written as a sum of positive squares in 12 ways, for example, as 1072038564 + 102250294756 = 32742^2 + 319766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10659036 + ... + 10668724.

Almost surely, 2103322333320 is an apocalyptic number.

103322333320 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 103322333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120776256900).

103322333320 is an abundant number, since it is smaller than the sum of its proper divisors (138230180480).

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

103322333320 is a wasteful number, since it uses less digits than its factorization.

103322333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 103322333320 its reverse (23333223301), we get a palindrome (126655556621).

The spelling of 103322333320 in words is "one hundred three billion, three hundred twenty-two million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 317 580 634 841 1160 1268 1585 1682 2536 3170 3364 4205 6340 6728 8410 9193 9689 12680 16820 18386 19378 33640 36772 38756 45965 48445 73544 77512 91930 96890 183860 193780 266597 280981 367720 387560 533194 561962 1066388 1123924 1332985 1404905 2132776 2247848 2665970 2809810 3071413 5331940 5619620 6142826 8148449 10663880 11239240 12285652 15357065 16296898 24571304 30714130 32593796 40742245 61428260 65187592 81484490 89070977 122856520 162968980 178141954 325937960 356283908 445354885 712567816 890709770 1781419540 2583058333 3562839080 5166116666 10332233332 12915291665 20664466664 25830583330 51661166660 103322333320