Search a number
-
+
10220101001221 = 521118116609921
BaseRepresentation
bin1001010010111000110101…
…1111010110000000000101
31100012000212102002121012111
42110232031133112000011
52314421231324014341
633423014413221021
72103243426110356
oct224561537260005
940160772077174
1010220101001221
113290358639a21
121190883191771
1359199ca56757
14274926aa7d2d
1512acace34681
hex94b8d7d6005

10220101001221 has 8 divisors (see below), whose sum is σ = 10248388313688. Its totient is φ = 10191846912000.

The previous prime is 10220101001179. The next prime is 10220101001237. The reversal of 10220101001221 is 12210010102201.

It can be written as a sum of positive squares in 4 ways, for example, as 2661175578721 + 7558925422500 = 1631311^2 + 2749350^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10220101001221 - 213 = 10220100993029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101001821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7689660 + ... + 8920261.

It is an arithmetic number, because the mean of its divisors is an integer number (1281048539211).

Almost surely, 210220101001221 is an apocalyptic number.

It is an amenable number.

10220101001221 is a deficient number, since it is larger than the sum of its proper divisors (28287312467).

10220101001221 is a wasteful number, since it uses less digits than its factorization.

10220101001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611623.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10220101001221 its reverse (12210010102201), we get a palindrome (22430111103422).

The spelling of 10220101001221 in words is "ten trillion, two hundred twenty billion, one hundred one million, one thousand, two hundred twenty-one".

Divisors: 1 521 1181 615301 16609921 8653768841 19616316701 10220101001221