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1022010101 = 7225781157
BaseRepresentation
bin111100111010101…
…010001011110101
32122020002111021222
4330322222023311
54043113310401
6245225120125
734216641200
oct7472521365
92566074258
101022010101
11484997352
12246329045
13133975508
1499a3a937
155eaccc1b
hex3ceaa2f5

1022010101 has 12 divisors (see below), whose sum is σ = 1193509548. Its totient is φ = 872589312.

The previous prime is 1022010091. The next prime is 1022010103. The reversal of 1022010101 is 1010102201.

It can be written as a sum of positive squares in 2 ways, for example, as 758727025 + 263283076 = 27545^2 + 16226^2 .

It is a de Polignac number, because none of the positive numbers 2k-1022010101 is a prime.

1022010101 is a modest number, since divided by 10101 gives 1022 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27986 + ... + 53171.

It is an arithmetic number, because the mean of its divisors is an integer number (99459129).

Almost surely, 21022010101 is an apocalyptic number.

It is an amenable number.

1022010101 is a deficient number, since it is larger than the sum of its proper divisors (171499447).

1022010101 is an equidigital number, since it uses as much as digits as its factorization.

1022010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81428 (or 81421 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1022010101 is about 31968.8927083814. The cubic root of 1022010101 is about 1007.2835218466.

Adding to 1022010101 its reverse (1010102201), we get a palindrome (2032112302).

The spelling of 1022010101 in words is "one billion, twenty-two million, ten thousand, one hundred one".

Divisors: 1 7 49 257 1799 12593 81157 568099 3976693 20857349 146001443 1022010101