Search a number
-
+
1022112211020 = 2235591571839059
BaseRepresentation
bin11101101111110101010…
…00101010000001001100
310121201020202110010112120
432313322220222001030
5113221241211223040
62101315111532540
7133562615305365
oct16677250520114
93551222403476
101022112211020
1136452577335a
1214611338a150
1375500448384
1437683076b6c
151b8c2b5c7d0
hexedfaa2a04c

1022112211020 has 96 divisors (see below), whose sum is σ = 2928960518400. Its totient is φ = 266236748544.

The previous prime is 1022112211009. The next prime is 1022112211063. The reversal of 1022112211020 is 201122112201.

1022112211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363750 + ... + 1475309.

It is an arithmetic number, because the mean of its divisors is an integer number (30510005400).

Almost surely, 21022112211020 is an apocalyptic number.

1022112211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112211020 is an abundant number, since it is smaller than the sum of its proper divisors (1906848307380).

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

1022112211020 is a wasteful number, since it uses less digits than its factorization.

1022112211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839287 (or 1839285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022112211020 its reverse (201122112201), we get a palindrome (1223234323221).

The spelling of 1022112211020 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 157 177 236 295 314 354 471 590 628 708 785 885 942 1180 1570 1770 1884 2355 3140 3540 4710 9263 9420 18526 27789 37052 46315 55578 92630 111156 138945 185260 277890 555780 1839059 3678118 5517177 7356236 9195295 11034354 18390590 22068708 27585885 36781180 55171770 108504481 110343540 217008962 288732263 325513443 434017924 542522405 577464526 651026886 866196789 1085044810 1154929052 1302053772 1443661315 1627567215 1732393578 2170089620 2887322630 3255134430 3464787156 4330983945 5774645260 6510268860 8661967890 17035203517 17323935780 34070407034 51105610551 68140814068 85176017585 102211221102 170352035170 204422442204 255528052755 340704070340 511056105510 1022112211020