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103440532830 = 235195919315937
BaseRepresentation
bin110000001010110001…
…0010100010101011110
3100212222221121112000120
41200111202110111132
53143321234022310
6115304145335410
710321232010315
oct1402542242536
9325887545016
10103440532830
113a961536368
121806a037566
1399a655779b
145013d7d27c
152a562ebb70
hex181589455e

103440532830 has 128 divisors (see below), whose sum is σ = 267146380800. Its totient is φ = 25554714624.

The previous prime is 103440532817. The next prime is 103440532837. The reversal of 103440532830 is 38235044301.

It is a junction number, because it is equal to n+sod(n) for n = 103440532791 and 103440532800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103440532837) 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, 6482622 + ... + 6498558.

It is an arithmetic number, because the mean of its divisors is an integer number (2087081100).

Almost surely, 2103440532830 is an apocalyptic number.

103440532830 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 103440532830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133573190400).

103440532830 is an abundant number, since it is smaller than the sum of its proper divisors (163705847970).

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

103440532830 is a wasteful number, since it uses less digits than its factorization.

103440532830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 103440532830 in words is "one hundred three billion, four hundred forty million, five hundred thirty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 193 285 295 354 386 570 579 590 885 965 1121 1158 1770 1930 2242 2895 3363 3667 5605 5790 6726 7334 11001 11210 11387 15937 16815 18335 22002 22774 31874 33630 34161 36670 47811 55005 56935 68322 79685 95622 110010 113870 159370 170805 216353 239055 302803 341610 432706 478110 605606 649059 908409 940283 1081765 1298118 1514015 1816818 1880566 2163530 2820849 3028030 3075841 3245295 4542045 4701415 5641698 6151682 6490590 9084090 9227523 9402830 14104245 15379205 17865377 18455046 28208490 30758410 35730754 46137615 53596131 58440979 89326885 92275230 107192262 116881958 175322937 178653770 181474619 267980655 292204895 350645874 362949238 535961310 544423857 584409790 876614685 907373095 1088847714 1753229370 1814746190 2722119285 3448017761 5444238570 6896035522 10344053283 17240088805 20688106566 34480177610 51720266415 103440532830