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142210160100 = 223252612590349
BaseRepresentation
bin1000010001110001100…
…0101101010111100100
3111121001212111122102200
42010130120231113210
54312221300110400
6145155213134500
713163046262521
oct2043430552744
9447055448380
10142210160100
1155346a23138
1223689a8a430
1310544740038
146c50d92148
153a74c98b00
hex211c62d5e4

142210160100 has 108 divisors (see below), whose sum is σ = 453057395700. Its totient is φ = 37301011200.

The previous prime is 142210160047. The next prime is 142210160167. The reversal of 142210160100 is 1061012241.

142210160100 is a `hidden beast` number, since 1 + 42 + 21 + 0 + 1 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22039777764 + 120170382336 = 148458^2 + 346656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1240275 + ... + 1350074.

Almost surely, 2142210160100 is an apocalyptic number.

142210160100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142210160100 is an abundant number, since it is smaller than the sum of its proper divisors (310847235600).

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

142210160100 is a wasteful number, since it uses less digits than its factorization.

142210160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590430 (or 2590420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 142210160100 its reverse (1061012241), we get a palindrome (143271172341).

The spelling of 142210160100 in words is "one hundred forty-two billion, two hundred ten million, one hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 2590349 5180698 7771047 10361396 12951745 15542094 23313141 25903490 31084188 38855235 46626282 51806980 64758725 77710470 93252564 116565705 129517450 155420940 158011289 194276175 233131410 259034900 316022578 388552350 466262820 474033867 582828525 632045156 777104700 790056445 948067734 1165657050 1422101601 1580112890 1896135468 2331314100 2370169335 2844203202 3160225780 3950282225 4740338670 5688406404 7110508005 7900564450 9480677340 11850846675 14221016010 15801128900 23701693350 28442032020 35552540025 47403386700 71105080050 142210160100