Search a number
-
+
1022212001200 = 245213196579231
BaseRepresentation
bin11101110000000001001…
…01010100110110110000
310121201111201012222221011
432320000211110312300
5113221442233014300
62101333034440304
7133565236435015
oct16700045246660
93551451188834
101022212001200
11364577031185
12146140893094
1375518017510
143769241170c
151b8cb7beeba
hexee00954db0

1022212001200 has 60 divisors (see below), whose sum is σ = 2644776987328. Its totient is φ = 377432121600.

The previous prime is 1022212001191. The next prime is 1022212001231. The reversal of 1022212001200 is 21002122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98284416 + ... + 98294815.

Almost surely, 21022212001200 is an apocalyptic number.

1022212001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212001200 is an abundant number, since it is smaller than the sum of its proper divisors (1622564986128).

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

1022212001200 is a wasteful number, since it uses less digits than its factorization.

1022212001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196579262 (or 196579251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022212001200 its reverse (21002122201), we get a palindrome (1043214123401).

The spelling of 1022212001200 in words is "one trillion, twenty-two billion, two hundred twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 196579231 393158462 786316924 982896155 1572633848 1965792310 2555530003 3145267696 3931584620 4914480775 5111060006 7863169240 9828961550 10222120012 12777650015 15726338480 19657923100 20444240024 25555300030 39315846200 40888480048 51110600060 63888250075 78631692400 102221200120 127776500150 204442400240 255553000300 511106000600 1022212001200