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120101020993 = 2926940138393
BaseRepresentation
bin110111111011010010…
…1000010010101000001
3102111000001021000020201
41233312211002111001
53431431330132433
6131101301405201
711451133556152
oct1576645022501
9374001230221
10120101020993
1146a30993748
121b339709801
13b4300c77c5
145b54921929
1531cdcaca7d
hex1bf6942541

120101020993 has 16 divisors (see below), whose sum is σ = 125018542800. Its totient is φ = 115237427200.

The previous prime is 120101020951. The next prime is 120101021057. The reversal of 120101020993 is 399020101021.

It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 120098981809 = 1428^2 + 346553^2 .

It is a cyclic number.

It is not a de Polignac number, because 120101020993 - 229 = 119564150081 is a prime.

It is a super-2 number, since 2×1201010209932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120101020493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109005 + ... + 3147397.

It is an arithmetic number, because the mean of its divisors is an integer number (7813658925).

Almost surely, 2120101020993 is an apocalyptic number.

It is an amenable number.

120101020993 is a deficient number, since it is larger than the sum of its proper divisors (4917521807).

120101020993 is a wasteful number, since it uses less digits than its factorization.

120101020993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39092.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 120101020993 in words is "one hundred twenty billion, one hundred one million, twenty thousand, nine hundred ninety-three".

Divisors: 1 29 269 401 7801 11629 38393 107869 1113397 3128201 10327717 15395593 299503793 446472197 4141414517 120101020993