Search a number
-
+
1022210210000 = 2454714603003
BaseRepresentation
bin11101110000000000111…
…10011111100011010000
310121201111120211222212102
432320000132133203100
5113221441303210000
62101332532215532
7133565215264610
oct16700036374320
93551446758772
101022210210000
11364576018451
1214614016a5a8
137551783b135
14376920a6a40
151b8cb5693d5
hexee0079f8d0

1022210210000 has 100 divisors (see below), whose sum is σ = 2828426638752. Its totient is φ = 350472048000.

The previous prime is 1022210209991. The next prime is 1022210210009. The reversal of 1022210210000 is 120122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022210209991) and next prime (1022210210009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022210210009) 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 19 ways as a sum of consecutive naturals, for example, 7231502 + ... + 7371501.

Almost surely, 21022210210000 is an apocalyptic number.

1022210210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022210210000 is an abundant number, since it is smaller than the sum of its proper divisors (1806216428752).

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

1022210210000 is an equidigital number, since it uses as much as digits as its factorization.

1022210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603038 (or 14603017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022210210000 its reverse (120122201), we get a palindrome (1022330332201).

The spelling of 1022210210000 in words is "one trillion, twenty-two billion, two hundred ten million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 14603003 29206006 58412012 73015015 102221021 116824024 146030030 204442042 233648048 292060060 365075075 408884084 511105105 584120120 730150150 817768168 1022210210 1168240240 1460300300 1635536336 1825375375 2044420420 2555525525 2920600600 3650750750 4088840840 5111051050 5841201200 7301501500 8177681680 9126876875 10222102100 12777627625 14603003000 18253753750 20444204200 25555255250 29206006000 36507507500 40888408400 51110510500 63888138125 73015015000 102221021000 127776276250 146030030000 204442042000 255552552500 511105105000 1022210210000