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10120220097 = 3131953257689
BaseRepresentation
bin10010110110011011…
…00100110111000001
3222010021222110002120
421123031210313001
5131211234020342
64352115234453
7505534310601
oct113315446701
928107873076
1010120220097
114323667169
121b652a8a29
13c53890620
146c00d8c01
153e3708aec
hex25b364dc1

10120220097 has 32 divisors (see below), whose sum is σ = 15585091200. Its totient is φ = 5788703232.

The previous prime is 10120220083. The next prime is 10120220107. The reversal of 10120220097 is 79002202101.

10120220097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120220097 - 28 = 10120219841 is a prime.

It is a super-3 number, since 3×101202200973 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89572 + ... + 168117.

It is an arithmetic number, because the mean of its divisors is an integer number (487034100).

Almost surely, 210120220097 is an apocalyptic number.

It is an amenable number.

10120220097 is a deficient number, since it is larger than the sum of its proper divisors (5464871103).

10120220097 is a wasteful number, since it uses less digits than its factorization.

10120220097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257777.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 10120220097 its reverse (79002202101), we get a palindrome (89122422198).

The spelling of 10120220097 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, ninety-seven".

Divisors: 1 3 13 19 39 53 57 159 247 689 741 1007 2067 3021 13091 39273 257689 773067 3349957 4896091 10049871 13657517 14688273 40972551 63649183 177547721 190947549 259492823 532643163 778478469 3373406699 10120220097