Search a number
-
+
12441502100 = 22521922512909
BaseRepresentation
bin10111001011001001…
…00100000110010100
31012010001212210101002
423211210210012110
5200440011031400
65414320322432
7620212010606
oct134544440624
935101783332
1012441502100
1153049a3745
1224b2773418
131233777581
14860507176
154cc3d0ed5
hex2e5924194

12441502100 has 72 divisors (see below), whose sum is σ = 28441408800. Its totient is φ = 4710960000.

The previous prime is 12441502091. The next prime is 12441502109. The reversal of 12441502100 is 120514421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12441502091) and next prime (12441502109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441502109) 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, 4275446 + ... + 4278354.

Almost surely, 212441502100 is an apocalyptic number.

12441502100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220704400).

12441502100 is an abundant number, since it is smaller than the sum of its proper divisors (15999906700).

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

12441502100 is a wasteful number, since it uses less digits than its factorization.

12441502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 12441502100 in words is "twelve billion, four hundred forty-one million, five hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2251 2909 4502 5818 9004 11255 11636 14545 22510 29090 42769 45020 55271 56275 58180 72725 85538 110542 112550 145450 171076 213845 221084 225100 276355 290900 427690 552710 855380 1069225 1105420 1381775 2138450 2763550 4276900 5527100 6548159 13096318 26192636 32740795 65481590 124415021 130963180 163703975 248830042 327407950 497660084 622075105 654815900 1244150210 2488300420 3110375525 6220751050 12441502100