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103420035520 = 2651313497069
BaseRepresentation
bin110000001010001010…
…0001000000111000000
3100212221112001010222221
41200110110020013000
53143301012114040
6115302134140424
710320562540354
oct1402424100700
9325845033887
10103420035520
113a950a0643a
12180631b1714
1399a222bbb9
145011365464
152a545ed74a
hex18145081c0

103420035520 has 112 divisors (see below), whose sum is σ = 248895108000. Its totient is φ = 40928808960.

The previous prime is 103420035503. The next prime is 103420035527. The reversal of 103420035520 is 25530024301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420035527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14626546 + ... + 14633614.

It is an arithmetic number, because the mean of its divisors is an integer number (2222277750).

Almost surely, 2103420035520 is an apocalyptic number.

103420035520 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 103420035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124447554000).

103420035520 is an abundant number, since it is smaller than the sum of its proper divisors (145475072480).

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

103420035520 is a wasteful number, since it uses less digits than its factorization.

103420035520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 103420035520 its reverse (25530024301), we get a palindrome (128950059821).

The spelling of 103420035520 in words is "one hundred three billion, four hundred twenty million, thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 349 524 655 698 1048 1310 1396 1745 2096 2620 2792 3490 4192 5240 5584 6980 7069 8384 10480 11168 13960 14138 20960 22336 27920 28276 35345 41920 45719 55840 56552 70690 91438 111680 113104 141380 182876 226208 228595 282760 365752 452416 457190 565520 731504 914380 926039 1131040 1463008 1828760 1852078 2262080 2467081 2926016 3657520 3704156 4630195 4934162 7315040 7408312 9260390 9868324 12335405 14630080 14816624 18520780 19736648 24670810 29633248 37041560 39473296 49341620 59266496 74083120 78946592 98683240 148166240 157893184 197366480 296332480 323187611 394732960 646375222 789465920 1292750444 1615938055 2585500888 3231876110 5171001776 6463752220 10342003552 12927504440 20684007104 25855008880 51710017760 103420035520