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130122210100 = 22521301222101
BaseRepresentation
bin111100100101111100…
…0110101101100110100
3110102212102220011100211
41321023320311230310
54112442241210400
6135435522315204
712254356352011
oct1711370655464
9412772804324
10130122210100
1150203660413
12212757b8b04
13c3692c36bc
1464257dc708
1535b8953dba
hex1e4be35b34

130122210100 has 18 divisors (see below), whose sum is σ = 282365196134. Its totient is φ = 52048884000.

The previous prime is 130122210091. The next prime is 130122210109. The reversal of 130122210100 is 1012221031.

It is an interprime number because it is at equal distance from previous prime (130122210091) and next prime (130122210109).

It can be written as a sum of positive squares in 3 ways, for example, as 69655716 + 130052554384 = 8346^2 + 360628^2 .

It is a super-2 number, since 2×1301222101002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122210109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 650610951 + ... + 650611150.

Almost surely, 2130122210100 is an apocalyptic number.

130122210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130122210100 is an abundant number, since it is smaller than the sum of its proper divisors (152242986034).

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

130122210100 is a wasteful number, since it uses less digits than its factorization.

130122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301222115 (or 1301222108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130122210100 its reverse (1012221031), we get a palindrome (131134431131).

The spelling of 130122210100 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1301222101 2602444202 5204888404 6506110505 13012221010 26024442020 32530552525 65061105050 130122210100