Search a number
-
+
10100022122211 = 376125182138261
BaseRepresentation
bin1001001011111001100000…
…1110110001011011100011
31022202112220220111112001020
42102332120032301123203
52310434321130402321
633251515222140523
72061462651351120
oct222763016613343
938675826445036
1010100022122211
1132444391a993a
121171550b81743
13583574412318
1426cbb50ab747
15127ad109c4c6
hex92f983b16e3

10100022122211 has 64 divisors (see below), whose sum is σ = 15724675556352. Its totient is φ = 5647176000000.

The previous prime is 10100022122207. The next prime is 10100022122219. The reversal of 10100022122211 is 11222122000101.

It is not a de Polignac number, because 10100022122211 - 22 = 10100022122207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100022122219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263957821 + ... + 263996081.

It is an arithmetic number, because the mean of its divisors is an integer number (245698055568).

Almost surely, 210100022122211 is an apocalyptic number.

10100022122211 is a deficient number, since it is larger than the sum of its proper divisors (5624653434141).

10100022122211 is a wasteful number, since it uses less digits than its factorization.

10100022122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39404.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10100022122211 its reverse (11222122000101), we get a palindrome (21322144122312).

The spelling of 10100022122211 in words is "ten trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 21 61 183 251 427 753 821 1281 1757 2463 5271 5747 15311 17241 38261 45933 50081 107177 114783 150243 206071 267827 321531 350567 618213 803481 1051701 1442497 2333921 4327491 7001763 9603511 12570331 16337447 28810533 31412281 37710993 49012341 67224577 87992317 94236843 201673731 219885967 263976951 585814171 659657901 1757442513 1916149141 4100699197 5748447423 7884482531 12302097591 13413043987 23653447593 40239131961 55191377717 165574133151 480953434391 1442860303173 3366674040737 10100022122211