Search a number
-
+
1022135012320 = 25517375784931
BaseRepresentation
bin11101101111110111111…
…11101000101111100000
310121201022100100120001011
432313323333220233200
5113221313030343240
62101321244350304
7133563313152442
oct16677377505740
93551270316034
101022135012320
11364537627304
1214611ab45394
137550509c876
14376860d0492
151b8c4b636ea
hexedfbfe8be0

1022135012320 has 48 divisors (see below), whose sum is σ = 2556840677328. Its totient is φ = 384803768320.

The previous prime is 1022135012281. The next prime is 1022135012321. The reversal of 1022135012320 is 232105312201.

It is a junction number, because it is equal to n+sod(n) for n = 1022135012291 and 1022135012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022135012321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187889746 + ... + 187895185.

It is an arithmetic number, because the mean of its divisors is an integer number (53267514111).

Almost surely, 21022135012320 is an apocalyptic number.

1022135012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022135012320 is an abundant number, since it is smaller than the sum of its proper divisors (1534705665008).

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

1022135012320 is a wasteful number, since it uses less digits than its factorization.

1022135012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375784963 (or 375784955 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 1022135012320 in words is "one trillion, twenty-two billion, one hundred thirty-five million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 375784931 751569862 1503139724 1878924655 3006279448 3757849310 6012558896 6388343827 7515698620 12025117792 12776687654 15031397240 25553375308 30062794480 31941719135 51106750616 60125588960 63883438270 102213501232 127766876540 204427002464 255533753080 511067506160 1022135012320