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10201012211 = 132471637879
BaseRepresentation
bin10011000000000011…
…10001011111110011
3222022221000010001002
421200001301133303
5131342424342321
64404123032215
7510535113245
oct114001613763
928287003032
1010201012211
114365229505
121b8836b66b
13c6753a400
146cab2a095
153ea86720b
hex2600717f3

10201012211 has 24 divisors (see below), whose sum is σ = 11351738880. Its totient is φ = 9158269536.

The previous prime is 10201012183. The next prime is 10201012229. The reversal of 10201012211 is 11221010201.

It is a de Polignac number, because none of the positive numbers 2k-10201012211 is a prime.

It is a super-2 number, since 2×102010122112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201012192 and 10201012201.

It is not an unprimeable number, because it can be changed into a prime (10201012291) 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, 1290770 + ... + 1298648.

It is an arithmetic number, because the mean of its divisors is an integer number (472989120).

Almost surely, 210201012211 is an apocalyptic number.

10201012211 is a deficient number, since it is larger than the sum of its proper divisors (1150726669).

10201012211 is a wasteful number, since it uses less digits than its factorization.

10201012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201012211 its reverse (11221010201), we get a palindrome (21422022412).

The spelling of 10201012211 in words is "ten billion, two hundred one million, twelve thousand, two hundred eleven".

Divisors: 1 13 47 163 169 611 2119 7661 7879 7943 27547 99593 102427 370313 1284277 1294709 1331551 4814069 16695601 60361019 62582897 217042813 784693247 10201012211