Search a number
-
+
1020220000212 = 2237118391025887
BaseRepresentation
bin11101101100010011101…
…10011100011111010100
310121112100212220212021210
432312021312130133110
5113203402310001322
62100403235141420
7133465000626660
oct16661166343724
93545325825253
101020220000212
11363744658376
12145885744870
137528b410cca
1437543a398a0
151b81198c70c
hexed89d9c7d4

1020220000212 has 48 divisors (see below), whose sum is σ = 2720819118080. Its totient is φ = 291466523232.

The previous prime is 1020220000211. The next prime is 1020220000229. The reversal of 1020220000212 is 2120000220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220000211) 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 15 ways as a sum of consecutive naturals, for example, 481533 + ... + 1507419.

Almost surely, 21020220000212 is an apocalyptic number.

1020220000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020220000212 is an abundant number, since it is smaller than the sum of its proper divisors (1700599117868).

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

1020220000212 is a wasteful number, since it uses less digits than its factorization.

1020220000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037740 (or 1037738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020220000212 its reverse (2120000220201), we get a palindrome (3140220220413).

The spelling of 1020220000212 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11839 23678 35517 47356 71034 82873 142068 165746 248619 331492 497238 994476 1025887 2051774 3077661 4103548 6155322 7181209 12310644 14362418 21543627 28724836 43087254 86174508 12145476193 24290952386 36436428579 48581904772 72872857158 85018333351 145745714316 170036666702 255055000053 340073333404 510110000106 1020220000212