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1022011111120 = 245191793756289
BaseRepresentation
bin11101101111101001001…
…10111111011011010000
310121200222201012201112211
432313310212333123100
5113221034321023440
62101301101001504
7133560250052446
oct16676446773320
93550881181484
101022011111120
113644836a051a
121460a5553294
13754b550b04c
143767387ab96
151b8b8d3beea
hexedf49bf6d0

1022011111120 has 80 divisors (see below), whose sum is σ = 2515211784000. Its totient is φ = 385124696064.

The previous prime is 1022011111109. The next prime is 1022011111133. The reversal of 1022011111120 is 211111102201.

It is a happy number.

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

It is a super-2 number, since 2×10220111111202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022011111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606065 + ... + 2150224.

It is an arithmetic number, because the mean of its divisors is an integer number (31440147300).

Almost surely, 21022011111120 is an apocalyptic number.

1022011111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022011111120 is an abundant number, since it is smaller than the sum of its proper divisors (1493200672880).

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

1022011111120 is a wasteful number, since it uses less digits than its factorization.

1022011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756500 (or 3756494 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1022011111120 its reverse (211111102201), we get a palindrome (1233122213321).

The spelling of 1022011111120 in words is "one trillion, twenty-two billion, eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 179 190 304 358 380 716 760 895 1432 1520 1790 2864 3401 3580 6802 7160 13604 14320 17005 27208 34010 54416 68020 136040 272080 3756289 7512578 15025156 18781445 30050312 37562890 60100624 71369491 75125780 142738982 150251560 285477964 300503120 356847455 570955928 672375731 713694910 1141911856 1344751462 1427389820 2689502924 2854779640 3361878655 5379005848 5709559280 6723757310 10758011696 12775138889 13447514620 25550277778 26895029240 51100555556 53790058480 63875694445 102201111112 127751388890 204402222224 255502777780 511005555560 1022011111120