Search a number
-
+
1022001111120 = 243511387121633
BaseRepresentation
bin11101101111101000000…
…00110110000001010000
310121200222000101200010110
432313310000312001100
5113221024241023440
62101300102401320
7133560066053103
oct16676400660120
93550860350113
101022001111120
11364478a90360
121460a2130240
13754b34194a2
14376723d673a
151b8b8014080
hexedf4036050

1022001111120 has 80 divisors (see below), whose sum is σ = 3456221948352. Its totient is φ = 247757844480.

The previous prime is 1022001111107. The next prime is 1022001111163. The reversal of 1022001111120 is 211111002201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10220011111202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022001111096 and 1022001111105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 193558177 + ... + 193563456.

Almost surely, 21022001111120 is an apocalyptic number.

1022001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001111120 is an abundant number, since it is smaller than the sum of its proper divisors (2434220837232).

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

1022001111120 is a wasteful number, since it uses less digits than its factorization.

1022001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387121660 (or 387121654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022001111120 its reverse (211111002201), we get a palindrome (1233112113321).

The spelling of 1022001111120 in words is "one trillion, twenty-two billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 387121633 774243266 1161364899 1548486532 1935608165 2322729798 3096973064 3871216330 4258337963 4645459596 5806824495 6193946128 7742432660 8516675926 9290919192 11613648990 12775013889 15484865320 17033351852 18581838384 21291689815 23227297980 25550027778 30969730640 34066703704 42583379630 46454595960 51100055556 63875069445 68133407408 85166759260 92909191920 102200111112 127750138890 170333518520 204400222224 255500277780 340667037040 511000555560 1022001111120