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1010121021 = 327136120219
BaseRepresentation
bin111100001101010…
…011100100111101
32121101201110112200
4330031103210331
54032042333041
6244122222113
734013613150
oct7415234475
92541643480
101010121021
11479206968
12242354939
13131371b60
1498223c97
155da301b6
hex3c35393d

1010121021 has 48 divisors (see below), whose sum is σ = 1825299840. Its totient is φ = 524050560.

The previous prime is 1010120989. The next prime is 1010121037. The reversal of 1010121021 is 1201210101.

It is a happy number.

It is not a de Polignac number, because 1010121021 - 25 = 1010120989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010120994 and 1010121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39850 + ... + 60068.

It is an arithmetic number, because the mean of its divisors is an integer number (38027080).

Almost surely, 21010121021 is an apocalyptic number.

It is an amenable number.

1010121021 is a deficient number, since it is larger than the sum of its proper divisors (815178819).

1010121021 is a wasteful number, since it uses less digits than its factorization.

1010121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20306 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1010121021 is about 31782.4011207461. The cubic root of 1010121021 is about 1003.3623555608.

Adding to 1010121021 its reverse (1201210101), we get a palindrome (2211331122).

The spelling of 1010121021 in words is "one billion, ten million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 61 63 91 117 183 273 427 549 793 819 1281 2379 3843 5551 7137 16653 20219 49959 60657 141533 181971 262847 424599 788541 1233359 1273797 1839929 2365623 3700077 5519787 8633513 11100231 16033667 16559361 25900539 48101001 77701617 112235669 144303003 336707007 1010121021