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103930402224 = 243112171052609
BaseRepresentation
bin110000011001010111…
…1000001010110110000
3100221021002101110111110
41200302233001112300
53200322140332344
6115424525113320
710336330562055
oct1406257012660
9327232343443
10103930402224
1140093003500
12181860b8840
139a53ba372c
14505d05902c
152a843133b9
hex1832bc15b0

103930402224 has 120 divisors (see below), whose sum is σ = 312473594160. Its totient is φ = 29641441280.

The previous prime is 103930402223. The next prime is 103930402229. The reversal of 103930402224 is 422204039301.

It is a junction number, because it is equal to n+sod(n) for n = 103930402191 and 103930402200.

It is not an unprimeable number, because it can be changed into a prime (103930402223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427569 + ... + 625040.

It is an arithmetic number, because the mean of its divisors is an integer number (2603946618).

Almost surely, 2103930402224 is an apocalyptic number.

It is an amenable number.

103930402224 is an abundant number, since it is smaller than the sum of its proper divisors (208543191936).

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

103930402224 is a wasteful number, since it uses less digits than its factorization.

103930402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052659 (or 1052642 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 103930402224 in words is "one hundred three billion, nine hundred thirty million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1452 1496 1936 2057 2244 2904 2992 4114 4488 5808 6171 8228 8976 12342 16456 24684 32912 49368 98736 1052609 2105218 3157827 4210436 6315654 8420872 11578699 12631308 16841744 17894353 23157398 25262616 34736097 35788706 46314796 50525232 53683059 69472194 71577412 92629592 107366118 127365689 138944388 143154824 185259184 196837883 214732236 254731378 277888776 286309648 382097067 393675766 429464472 509462756 555777552 590513649 764194134 787351532 858928944 1018925512 1181027298 1528388268 1574703064 2037851024 2165216713 2362054596 3056776536 3149406128 4330433426 4724109192 6113553072 6495650139 8660866852 9448218384 12991300278 17321733704 25982600556 34643467408 51965201112 103930402224