Search a number
-
+
1020221200021 = 31477383163709
BaseRepresentation
bin11101101100010011110…
…11000001011010010101
310121112100222011211010011
432312021323001122111
5113203403111400041
62100403321000221
7133465014054652
oct16661173013225
93545328154104
101020221200021
113637452a7851
12145886023071
137528b74115a
1437543c6cc29
151b811b27e81
hexed89ec1695

1020221200021 has 64 divisors (see below), whose sum is σ = 1111743037440. Its totient is φ = 934487953920.

The previous prime is 1020221199997. The next prime is 1020221200057. The reversal of 1020221200021 is 1200021220201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020221200021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020221199974 and 1020221200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020221200081) 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, 1438957615 + ... + 1438958323.

It is an arithmetic number, because the mean of its divisors is an integer number (17370984960).

Almost surely, 21020221200021 is an apocalyptic number.

It is an amenable number.

1020221200021 is a deficient number, since it is larger than the sum of its proper divisors (91521837419).

1020221200021 is a wasteful number, since it uses less digits than its factorization.

1020221200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106.

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

Adding to 1020221200021 its reverse (1200021220201), we get a palindrome (2220242420222).

The spelling of 1020221200021 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred thousand, twenty-one".

Divisors: 1 31 47 73 83 163 709 1457 2263 2573 3431 3901 5053 6059 7661 11899 13529 21979 33323 51757 58847 106361 115567 120931 187829 237491 284773 368869 419399 559253 635863 987617 1033013 1604467 1824257 2432579 2765809 3582577 4295831 5431649 8436391 8827963 9592061 17336843 19711753 30616127 46417999 75409949 85740079 133170761 168381119 201904057 261528121 297353891 396510377 450826867 700220453 1438957969 6259025767 12291821687 13975632877 21706834043 32910361291 1020221200021