Search a number
-
+
102414212342110 = 2589231115532677
BaseRepresentation
bin10111010010010100101010…
…101111110010000101011110
3111102121200222112202112102201
4113102110222233302011132
5101410423301324421420
61001452234543442114
730400116440360134
oct2722245257620536
9442550875675381
10102414212342110
112a6a5694a30339
12b5a06885b633a
13451b807613426
141b40c35213754
15bc9066c7010a
hex5d252abf215e

102414212342110 has 96 divisors (see below), whose sum is σ = 187229991678912. Its totient is φ = 40334083215360.

The previous prime is 102414212342083. The next prime is 102414212342179. The reversal of 102414212342110 is 11243212414201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38257082092 + ... + 38257084768.

It is an arithmetic number, because the mean of its divisors is an integer number (1950312413322).

Almost surely, 2102414212342110 is an apocalyptic number.

102414212342110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102414212342110 is a deficient number, since it is larger than the sum of its proper divisors (84815779336802).

102414212342110 is a wasteful number, since it uses less digits than its factorization.

102414212342110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 102414212342110 its reverse (11243212414201), we get a palindrome (113657424756311).

The spelling of 102414212342110 in words is "one hundred two trillion, four hundred fourteen billion, two hundred twelve million, three hundred forty-two thousand, one hundred ten".

Divisors: 1 2 5 10 89 178 311 445 622 890 1553 1555 2677 3106 3110 5354 7765 7921 13385 15530 15842 26770 27679 39605 55358 79210 138217 138395 238253 276434 276790 476506 482983 691085 832547 965966 1191265 1382170 1665094 2382530 2414915 2463431 4157381 4162735 4829830 4926862 8314762 8325470 12301313 12317155 20786905 21204517 24602626 24634310 41573810 42409034 42985487 61506565 74096683 85970974 106022585 123013130 148193366 212045170 214927435 370006909 370483415 429854870 740013818 740966830 1292945491 1850034545 2585890982 3700069090 3825708343 6464727455 6594604787 7651416686 12929454910 13189209574 19128541715 32930614901 32973023935 38257083430 65861229802 65946047870 115072148699 164653074505 230144297398 329306149010 575360743495 1150721486990 10241421234211 20482842468422 51207106171055 102414212342110