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1022102222020 = 2251131541277021
BaseRepresentation
bin11101101111110100000…
…10100011010011000100
310121201020001122122012121
432313322002203103010
5113221231132101040
62101314113455324
7133562434353055
oct16677202432304
93551201578177
101022102222020
11364520070490
1214610bb71544
13754cb35b819
14376819d672c
151b8c1d37c4a
hexedfa0a34c4

1022102222020 has 96 divisors (see below), whose sum is σ = 2421553462272. Its totient is φ = 359017920000.

The previous prime is 1022102221993. The next prime is 1022102222041. The reversal of 1022102222020 is 202222012201.

1022102222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022102221985 and 1022102222003.

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, 3551110 + ... + 3828130.

It is an arithmetic number, because the mean of its divisors is an integer number (25224515232).

Almost surely, 21022102222020 is an apocalyptic number.

1022102222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022102222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210776731136).

1022102222020 is an abundant number, since it is smaller than the sum of its proper divisors (1399451240252).

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

1022102222020 is a wasteful number, since it uses less digits than its factorization.

1022102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277613 (or 277611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1022102222020 its reverse (202222012201), we get a palindrome (1224324234221).

The spelling of 1022102222020 in words is "one trillion, twenty-two billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 541 620 682 1082 1364 1705 2164 2705 3410 5410 5951 6820 10820 11902 16771 23804 29755 33542 59510 67084 83855 119020 167710 184481 277021 335420 368962 554042 737924 922405 1108084 1385105 1844810 2770210 3047231 3689620 5540420 6094462 8587651 12188924 15236155 17175302 30472310 34350604 42938255 60944620 85876510 94464161 149868361 171753020 188928322 299736722 377856644 472320805 599473444 749341805 944641610 1498683610 1648551971 1889283220 2997367220 3297103942 4645919191 6594207884 8242759855 9291838382 16485519710 18583676764 23229595955 32971039420 46459191910 51105111101 92918383820 102210222202 204420444404 255525555505 511051111010 1022102222020