Search a number
-
+
1022010210201 = 33743614577681
BaseRepresentation
bin11101101111101001000…
…11100011011110011001
310121200222122111221201110
432313310203203132121
5113221034103211301
62101301025410533
7133560236311041
oct16676443433631
93550878457643
101022010210201
11364483135662
121460a5199a49
13754b5283c66
14376736c4721
151b8b8c100d6
hexedf48e3799

1022010210201 has 64 divisors (see below), whose sum is σ = 1458907425536. Its totient is φ = 635417395200.

The previous prime is 1022010210187. The next prime is 1022010210211. The reversal of 1022010210201 is 1020120102201.

It is not a de Polignac number, because 1022010210201 - 210 = 1022010209177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022010210211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133053081 + ... + 133060761.

It is an arithmetic number, because the mean of its divisors is an integer number (22795428524).

Almost surely, 21022010210201 is an apocalyptic number.

It is an amenable number.

1022010210201 is a deficient number, since it is larger than the sum of its proper divisors (436897215335).

1022010210201 is a wasteful number, since it uses less digits than its factorization.

1022010210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022010210201 its reverse (1020120102201), we get a palindrome (2042130312402).

The spelling of 1022010210201 in words is "one trillion, twenty-two billion, ten million, two hundred ten thousand, two hundred one".

Divisors: 1 3 37 43 61 111 129 183 457 1371 1591 2257 2623 4773 6771 7681 7869 16909 19651 23043 27877 50727 58953 83631 97051 284197 291153 330283 468541 727087 852591 990849 1031449 1198711 1405623 2181261 3094347 3510217 3596133 10530651 12220471 17336017 20147263 36661413 44352307 52008051 60441789 129878029 133056921 150939331 214123237 389634087 452817993 642369711 745448731 2236346193 5584755247 7922559769 9207299191 16754265741 23767679307 27621897573 340670070067 1022010210201