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103423310222440 = 23513736053450113
BaseRepresentation
bin10111100001000000011101…
…101010101101010001101000
3111120012011122022110011111111
4113201000131222231101220
5102023441414404104230
61003544002433240104
730533042020003465
oct2741003552552150
9446164568404444
10103423310222440
112aa5464142039a
12b724169403034
134592a1270ccc0
141b77a01a7066c
15be542709992a
hex5e101daad468

103423310222440 has 128 divisors (see below), whose sum is σ = 254078082145440. Its totient is φ = 37657651838976.

The previous prime is 103423310222417. The next prime is 103423310222501. The reversal of 103423310222440 is 44222013324301.

It can be written as a sum of positive squares in 16 ways, for example, as 4949085419716 + 98474224802724 = 2224654^2 + 9923418^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229546824 + ... + 229996936.

Almost surely, 2103423310222440 is an apocalyptic number.

103423310222440 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 103423310222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127039041072720).

103423310222440 is an abundant number, since it is smaller than the sum of its proper divisors (150654771923000).

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

103423310222440 is a wasteful number, since it uses less digits than its factorization.

103423310222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456263 (or 456259 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 103423310222440 its reverse (44222013324301), we get a palindrome (147645323546741).

The spelling of 103423310222440 in words is "one hundred three trillion, four hundred twenty-three billion, three hundred ten million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 6053 7592 9490 12106 18980 24212 30265 37960 48424 60530 78689 121060 157378 242120 314756 393445 441869 450113 629512 786890 883738 900226 1573780 1767476 1800452 2209345 2250565 3147560 3534952 3600904 4418690 4501130 5744297 5851469 8837380 9002260 11488594 11702938 17674760 18004520 22977188 23405876 28721485 29257345 32858249 45954376 46811752 57442970 58514690 65716498 114885940 117029380 131432996 164291245 229771880 234058760 262865992 328582490 427157237 657164980 854314474 1314329960 1708628948 2135786185 2724533989 3417257896 4271572370 5449067978 8543144740 10898135956 13622669945 17086289480 21796271912 27245339890 35418941857 54490679780 70837883714 108981359560 141675767428 177094709285 198890981197 283351534856 354189418570 397781962394 708378837140 795563924788 994454905985 1416757674280 1591127849576 1988909811970 2585582755561 3977819623940 5171165511122 7955639247880 10342331022244 12927913777805 20684662044488 25855827555610 51711655111220 103423310222440