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101010224122401 = 311217231459487783
BaseRepresentation
bin10110111101111001000110…
…100001110000101000100001
3111020122111001012020012000210
4112331321012201300220201
5101214422414333404101
6554455242323404333
730163514342406306
oct2675710641605041
9436574035205023
10101010224122401
112a204217205600
12b3b455b8236a9
1344492b9680b49
141ad2cc707d0ad
15ba27939157d6
hex5bde46870a21

101010224122401 has 96 divisors (see below), whose sum is σ = 163672526223360. Its totient is φ = 55074255920640.

The previous prime is 101010224122393. The next prime is 101010224122421. The reversal of 101010224122401 is 104221422010101.

It is not a de Polignac number, because 101010224122401 - 23 = 101010224122393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010224122421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206836356 + ... + 207324138.

It is an arithmetic number, because the mean of its divisors is an integer number (1704922148160).

Almost surely, 2101010224122401 is an apocalyptic number.

101010224122401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101010224122401 is a deficient number, since it is larger than the sum of its proper divisors (62662302100959).

101010224122401 is a wasteful number, since it uses less digits than its factorization.

101010224122401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489307 (or 489296 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101010224122401 its reverse (104221422010101), we get a palindrome (205231646132502).

The spelling of 101010224122401 in words is "one hundred one trillion, ten billion, two hundred twenty-four million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 11 17 23 33 51 69 121 187 253 363 391 561 759 1173 1459 2057 2783 4301 4377 6171 8349 12903 16049 24803 33557 47311 48147 74409 100671 141933 176539 272833 369127 487783 529617 570469 818499 1107381 1463349 1711407 3001163 4060397 5365613 6275159 8292311 9003489 11219009 12181191 16096839 18825477 24876933 33657027 59021743 69026749 91215421 123409099 177065229 190723153 207080247 273646263 370227297 572169459 711675397 1003369631 1357500089 2097954683 2135026191 3010108893 4072500267 6293864049 7828429367 12098481749 16368534131 23077501513 23485288101 36295445247 49105602393 69232504539 86112723037 133083299239 180053875441 258338169111 278265080227 399249897717 540161626323 834795240681 1463916291629 1980592629851 3060915882497 4391748874887 5941777889553 9182747647491 33670074707467 101010224122401