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142512213105 = 33519293136121
BaseRepresentation
bin1000010010111001100…
…0111100110001110001
3111121211220212112021000
42010232120330301301
54313331111304410
6145245203152213
713203404552523
oct2045630746161
9447756775230
10142512213105
115549147a019
1223753075669
13105921a9422
146c7d13ba13
153a91560dc0
hex212e63cc71

142512213105 has 128 divisors (see below), whose sum is σ = 276812352000. Its totient is φ = 69289758720.

The previous prime is 142512213091. The next prime is 142512213133. The reversal of 142512213105 is 501312215241.

It is a happy number.

142512213105 is a `hidden beast` number, since 1 + 42 + 512 + 2 + 1 + 3 + 105 = 666.

It is not a de Polignac number, because 142512213105 - 28 = 142512212849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23279445 + ... + 23285565.

It is an arithmetic number, because the mean of its divisors is an integer number (2162596500).

Almost surely, 2142512213105 is an apocalyptic number.

142512213105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142512213105 is a deficient number, since it is larger than the sum of its proper divisors (134300138895).

142512213105 is a wasteful number, since it uses less digits than its factorization.

142512213105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 142512213105 its reverse (501312215241), we get a palindrome (643824428346).

The spelling of 142512213105 in words is "one hundred forty-two billion, five hundred twelve million, two hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 285 313 435 513 551 783 855 939 1305 1565 1653 2565 2755 2817 3915 4695 4959 5947 6121 8265 8451 9077 14085 14877 17841 18363 24795 27231 29735 30605 42255 45385 53523 55089 74385 81693 89205 91815 116299 136155 160569 165267 172463 177509 245079 267615 275445 348897 408465 517389 532527 581495 802845 826335 862315 887545 1046691 1225395 1552167 1597581 1744485 1915873 2586945 2662635 3140073 3372671 4656501 4792743 5233455 5747619 7760835 7987905 9579365 10118013 15700365 16863355 17242857 23282505 23963715 28738095 30354039 36401587 50590065 51728571 55560317 86214285 91062117 109204761 151770195 166680951 182007935 258642855 277801585 327614283 455310585 500042853 546023805 833404755 982842849 1055646023 1500128559 1638071415 2500214265 3166938069 4914214245 5278230115 7500642795 9500814207 15834690345 28502442621 47504071035 142512213105