Search a number
-
+
1011221001021 = 371131346140801
BaseRepresentation
bin11101011011100010111…
…01111111001100111101
310120200010201201100010110
432231301131333030331
5113031440034013041
62052314251300233
7133025666454510
oct16556135771475
93520121640113
101011221001021
1135a946990060
12143b93a4a679
1374485c2140a
1436d2c804d77
151b48690c516
hexeb7177f33d

1011221001021 has 64 divisors (see below), whose sum is σ = 1735760166912. Its totient is φ = 508204800000.

The previous prime is 1011221000921. The next prime is 1011221001023. The reversal of 1011221001021 is 1201001221101.

It is not a de Polignac number, because 1011221001021 - 215 = 1011220968253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011221000988 and 1011221001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221001023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24763821 + ... + 24804621.

It is an arithmetic number, because the mean of its divisors is an integer number (27121252608).

Almost surely, 21011221001021 is an apocalyptic number.

1011221001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011221001021 is a deficient number, since it is larger than the sum of its proper divisors (724539165891).

1011221001021 is a wasteful number, since it uses less digits than its factorization.

1011221001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44314.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011221001021 its reverse (1201001221101), we get a palindrome (2212222222122).

The spelling of 1011221001021 in words is "one trillion, eleven billion, two hundred twenty-one million, one thousand, twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 3461 7161 10383 24227 38071 40801 72681 107291 114213 122403 266497 285607 321873 448811 751037 799491 856821 1180201 1264831 1346433 2253111 3141677 3540603 3794493 8261407 8853817 9425031 13913141 24784221 26561451 41739423 97391987 141212261 292175961 423636783 988485827 1553334871 2965457481 4377580091 4660004613 10873344097 13132740273 30643060637 32620032291 48153381001 91929181911 144460143003 337073667007 1011221001021