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1101310132122 = 232371907867131
BaseRepresentation
bin10000000001101011001…
…100101111111110011010
310220021200012022101010200
4100001223030233332122
5121020440343211442
62201533534123030
7142365330444504
oct20015314577632
93807605271120
101101310132122
11395076949712
12159536650476
137cb1234cc95
143b4374a4d74
151d9aa9e334c
hex1006b32ff9a

1101310132122 has 48 divisors (see below), whose sum is σ = 2451951002592. Its totient is φ = 356993952480.

The previous prime is 1101310132103. The next prime is 1101310132123. The reversal of 1101310132122 is 2212310131011.

1101310132122 is a `hidden beast` number, since 1 + 10 + 1 + 310 + 1 + 321 + 22 = 666.

It is a super-2 number, since 2×11013101321222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101310132095 and 1101310132104.

It is not an unprimeable number, because it can be changed into a prime (1101310132123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836497 + ... + 1703627.

It is an arithmetic number, because the mean of its divisors is an integer number (51082312554).

Almost surely, 21101310132122 is an apocalyptic number.

1101310132122 is an abundant number, since it is smaller than the sum of its proper divisors (1350640870470).

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

1101310132122 is a wasteful number, since it uses less digits than its factorization.

1101310132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869083 (or 869080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101310132122 its reverse (2212310131011), we get a palindrome (3313620263133).

The spelling of 1101310132122 in words is "one trillion, one hundred one billion, three hundred ten million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1907 3814 5721 11442 17163 34326 70559 141118 211677 423354 635031 867131 1270062 1734262 2601393 5202786 7804179 15608358 32083847 64167694 96251541 192503082 288754623 577509246 1653618817 3307237634 4960856451 9921712902 14882569353 29765138706 61183896229 122367792458 183551688687 367103377374 550655066061 1101310132122