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142213003002 = 232710749921139
BaseRepresentation
bin1000010001110010001…
…1100011011011111010
3111121002001212002011100
42010130203203123322
54312223012044002
6145155354112230
713163112403050
oct2043443433372
9447061762140
10142213003002
1155348595044
122368aa1b676
13105451c7025
146c514d21d0
153a7515b11c
hex211c8e36fa

142213003002 has 96 divisors (see below), whose sum is σ = 356166720000. Its totient is φ = 40169978784.

The previous prime is 142213002961. The next prime is 142213003003. The reversal of 142213003002 is 200300312241.

142213003002 is a `hidden beast` number, since 1 + 42 + 21 + 300 + 300 + 2 = 666.

142213003002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422130030022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142213003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6716949 + ... + 6738087.

It is an arithmetic number, because the mean of its divisors is an integer number (3710070000).

Almost surely, 2142213003002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142213003002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360000).

142213003002 is an abundant number, since it is smaller than the sum of its proper divisors (213953716998).

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

142213003002 is a wasteful number, since it uses less digits than its factorization.

142213003002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 142213003002 its reverse (200300312241), we get a palindrome (342513315243).

The spelling of 142213003002 in words is "one hundred forty-two billion, two hundred thirteen million, three thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 499 642 749 963 998 1497 1498 1926 2247 2994 3493 4491 4494 6741 6986 8982 10479 13482 20958 21139 31437 42278 53393 62874 63417 106786 126834 147973 160179 190251 295946 320358 373751 380502 443919 480537 747502 887838 961074 1121253 1331757 2242506 2261873 2663514 3363759 4523746 6727518 6785619 10548361 13571238 15833111 20356857 21096722 31645083 31666222 40713714 47499333 63290166 73838527 94935249 94998666 142497999 147677054 189870498 221515581 284995998 443031162 664546743 1128674627 1329093486 2257349254 3386023881 6772047762 7900722389 10158071643 15801444778 20316143286 23702167167 47404334334 71106501501 142213003002