Search a number
-
+
1010211201 = 32297575113
BaseRepresentation
bin111100001101101…
…001100110000001
32121101220001020200
4330031221212001
54032103224301
6244124155413
734014440106
oct7415514601
92541801220
101010211201
1147926869a
12242398b69
131313a3c0c
1498248aad
155da4bc86
hex3c369981

1010211201 has 24 divisors (see below), whose sum is σ = 1511800680. Its totient is φ = 649264896.

The previous prime is 1010211121. The next prime is 1010211203. The reversal of 1010211201 is 1021120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 995465601 = 3840^2 + 31551^2 .

It is not a de Polignac number, because 1010211201 - 213 = 1010203009 is a prime.

It is a super-3 number, since 3×10102112013 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1010211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195021 + ... + 200133.

It is an arithmetic number, because the mean of its divisors is an integer number (62991695).

Almost surely, 21010211201 is an apocalyptic number.

It is an amenable number.

1010211201 is a deficient number, since it is larger than the sum of its proper divisors (501589479).

1010211201 is a wasteful number, since it uses less digits than its factorization.

1010211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5902 counting only the distinct ones).

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

The square root of 1010211201 is about 31783.8197987592. The cubic root of 1010211201 is about 1003.3922135424.

Adding to 1010211201 its reverse (1021120101), we get a palindrome (2031331302).

The spelling of 1010211201 in words is "one billion, ten million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 9 29 87 261 757 2271 5113 6813 15339 21953 46017 65859 148277 197577 444831 1334493 3870541 11611623 34834869 112245689 336737067 1010211201