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100202331323240 = 23517147356369593
BaseRepresentation
bin10110110010001000101100…
…010111010011101101101000
3111010210020201202101201001022
4112302020230113103231220
5101113203333304320430
6553040152053112012
730051244116050066
oct2662105427235550
9433706652351038
10100202331323240
1129a2262a842aa3
12b2a3a72028608
1343bb068456613
141aa5b66797036
15b8b75c7514e5
hex5b222c5d3b68

100202331323240 has 32 divisors (see below), whose sum is σ = 238717318742280. Its totient is φ = 37723230615552.

The previous prime is 100202331323201. The next prime is 100202331323249. The reversal of 100202331323240 is 42323133202001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69785540043076 + 30416791280164 = 8353774^2 + 5515142^2 .

It is a super-2 number, since 2×1002023313232402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100202331323249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73678184117 + ... + 73678185476.

Almost surely, 2100202331323240 is an apocalyptic number.

100202331323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202331323240 is an abundant number, since it is smaller than the sum of its proper divisors (138514987419040).

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

100202331323240 is a wasteful number, since it uses less digits than its factorization.

100202331323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147356369621 (or 147356369617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 100202331323240 its reverse (42323133202001), we get a palindrome (142525464525241).

The spelling of 100202331323240 in words is "one hundred trillion, two hundred two billion, three hundred thirty-one million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 147356369593 294712739186 589425478372 736781847965 1178850956744 1473563695930 2505058283081 2947127391860 5010116566162 5894254783720 10020233132324 12525291415405 20040466264648 25050582830810 50101165661620 100202331323240