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103555232440 = 23511149210601
BaseRepresentation
bin110000001110001011…
…1110111001010111000
3100220021221102212022021
41200130113313022320
53144040114414230
6115323404004224
710324123644442
oct1403427671270
9326257385267
10103555232440
113aa10257930
12180a0530674
1399c4246c8a
1450252b9492
152a61406c7a
hex181c5f72b8

103555232440 has 96 divisors (see below), whose sum is σ = 255922526160. Its totient is φ = 37400192000.

The previous prime is 103555232423. The next prime is 103555232509. The reversal of 103555232440 is 44232555301.

It is a super-3 number, since 3×1035552324403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103555232396 and 103555232405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9763140 + ... + 9773740.

Almost surely, 2103555232440 is an apocalyptic number.

103555232440 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 103555232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127961263080).

103555232440 is an abundant number, since it is smaller than the sum of its proper divisors (152367293720).

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

103555232440 is a wasteful number, since it uses less digits than its factorization.

103555232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 103555232440 its reverse (44232555301), we get a palindrome (147787787741).

The spelling of 103555232440 in words is "one hundred three billion, five hundred fifty-five million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6556 8195 10601 13112 16390 21202 22201 32780 42404 44402 53005 65560 84808 88804 106010 111005 116611 177608 212020 222010 233222 244211 424040 444020 466444 488422 583055 888040 932888 976844 1166110 1221055 1579549 1953688 2332220 2442110 3159098 4664440 4884220 6318196 7897745 9768440 12636392 15795490 17375039 31590980 34750078 63181960 69500156 86875195 139000312 173750390 235352801 347500780 470705602 695001560 941411204 1176764005 1882822408 2353528010 2588880811 4707056020 5177761622 9414112040 10355523244 12944404055 20711046488 25888808110 51777616220 103555232440