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121252312100 = 225212037100733
BaseRepresentation
bin111000011101100110…
…0110111010000100100
3102120222021121122202002
41300323030313100210
53441311042441400
6131411425504432
711521513435043
oct1607314672044
9376867548662
10121252312100
11474718507a7
121b5bb1a2118
13b58479644a
145c237b255a
153249dc5ed5
hex1c3b337424

121252312100 has 36 divisors (see below), whose sum is σ = 263141988564. Its totient is φ = 48496414080.

The previous prime is 121252312079. The next prime is 121252312109. The reversal of 121252312100 is 1213252121.

It can be written as a sum of positive squares in 6 ways, for example, as 26988575524 + 94263736576 = 164282^2 + 307024^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121252312109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153334 + ... + 1254066.

Almost surely, 2121252312100 is an apocalyptic number.

121252312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121252312100 is an abundant number, since it is smaller than the sum of its proper divisors (141889676464).

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

121252312100 is a wasteful number, since it uses less digits than its factorization.

121252312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112784 (or 112777 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 121252312100 its reverse (1213252121), we get a palindrome (122465564221).

The spelling of 121252312100 in words is "one hundred twenty-one billion, two hundred fifty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12037 24074 48148 60185 100733 120370 201466 240740 300925 402932 503665 601850 1007330 1203700 2014660 2518325 5036650 10073300 1212523121 2425046242 4850092484 6062615605 12125231210 24250462420 30313078025 60626156050 121252312100