Search a number
-
+
1005220255212 = 223279353452973
BaseRepresentation
bin11101010000010111100…
…10111101010111101100
310120002122112020212101200
432220023302331113230
5112432142341131322
62045443010405500
7132424203121665
oct16501362752754
93502575225350
101005220255212
1135834769a9a8
1214299a290890
1373a3a954054
143691d88036c
151b234bc88ac
hexea0bcbd5ec

1005220255212 has 36 divisors (see below), whose sum is σ = 2573137650720. Its totient is φ = 330831981792.

The previous prime is 1005220255211. The next prime is 1005220255213. The reversal of 1005220255212 is 2125520225001.

It is a happy number.

1005220255212 is a `hidden beast` number, since 100 + 5 + 2 + 2 + 0 + 2 + 552 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1005220255211) and next prime (1005220255213).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10052202552122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005220255211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176723643 + ... + 176729330.

Almost surely, 21005220255212 is an apocalyptic number.

1005220255212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005220255212 is an abundant number, since it is smaller than the sum of its proper divisors (1567917395508).

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

1005220255212 is a wasteful number, since it uses less digits than its factorization.

1005220255212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353453062 (or 353453057 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1005220255212 in words is "one trillion, five billion, two hundred twenty million, two hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 353452973 706905946 1060358919 1413811892 2120717838 3181076757 4241435676 6362153514 12724307028 27922784867 55845569734 83768354601 111691139468 167536709202 251305063803 335073418404 502610127606 1005220255212