Search a number
-
+
101120222201202 = 232192272081625913
BaseRepresentation
bin10110111111011111100010…
…111011001000010101110010
3111021000222222011000120000100
4112333133202323020111302
5101223223203340414302
6555021553324133230
730204460241555511
oct2677374273102562
9437028864016010
10101120222201202
112a246933263246
12b411939997216
134456799657439
141ad835dcc2678
15ba558077dd1c
hex5bf7e2ec8572

101120222201202 has 96 divisors (see below), whose sum is σ = 231752720272320. Its totient is φ = 31776700999680.

The previous prime is 101120222201161. The next prime is 101120222201203. The reversal of 101120222201202 is 202102222021101.

It is a happy number.

101120222201202 is a `hidden beast` number, since 10 + 11 + 20 + 222 + 201 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101120222201203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161243398 + ... + 161869310.

It is an arithmetic number, because the mean of its divisors is an integer number (2414090836170).

Almost surely, 2101120222201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120222201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115876360136160).

101120222201202 is an abundant number, since it is smaller than the sum of its proper divisors (130632498071118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101120222201202 is a wasteful number, since it uses less digits than its factorization.

101120222201202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628248 (or 628245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101120222201202 its reverse (202102222021101), we get a palindrome (303222444222303).

The spelling of 101120222201202 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 227 342 454 681 1362 2043 2081 4086 4162 4313 6243 8626 12486 12939 18729 25878 37458 38817 39539 77634 79078 118617 237234 355851 472387 625913 711702 944774 1251826 1417161 1877739 2834322 3755478 4251483 5633217 8502966 8975353 11266434 11892347 17950706 23784694 26926059 35677041 53852118 71354082 80778177 107031123 142082251 161556354 214062246 284164502 426246753 852493506 1278740259 1302524953 2557480518 2605049906 2699562769 3907574859 5399125538 7815149718 8098688307 11722724577 16197376614 23445449154 24296064921 24747974107 48592129842 49495948214 74243922321 148487844642 222731766963 295673164331 445463533926 591346328662 887019492993 1774038985986 2661058478979 5322116957958 5617790122289 11235580244578 16853370366867 33706740733734 50560111100601 101120222201202