Search a number
-
+
10333521142100 = 2252137948862417
BaseRepresentation
bin1001011001011111010111…
…0110110110000101010100
31100120212121212002201211222
42112113311312312011110
52323301022403021400
633551053140345512
72114400200312132
oct226276566660524
940525555081758
1010333521142100
113324470321542
1211aa8573a5298
1359c5a69aba50
1427a2061bc752
1512dbea412185
hex965f5db6154

10333521142100 has 36 divisors (see below), whose sum is σ = 24148644025884. Its totient is φ = 3815453959680.

The previous prime is 10333521142099. The next prime is 10333521142103. The reversal of 10333521142100 is 124112533301.

It can be written as a sum of positive squares in 6 ways, for example, as 3540471244996 + 6793049897104 = 1881614^2 + 2606348^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10333521142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333521142103) 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, 3974429909 + ... + 3974432508.

Almost surely, 210333521142100 is an apocalyptic number.

10333521142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333521142100 is an abundant number, since it is smaller than the sum of its proper divisors (13815122883784).

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

10333521142100 is a wasteful number, since it uses less digits than its factorization.

10333521142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948862444 (or 7948862437 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 10333521142100 its reverse (124112533301), we get a palindrome (10457633675401).

The spelling of 10333521142100 in words is "ten trillion, three hundred thirty-three billion, five hundred twenty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7948862417 15897724834 31795449668 39744312085 79488624170 103335211421 158977248340 198721560425 206670422842 397443120850 413340845684 516676057105 794886241700 1033352114210 2066704228420 2583380285525 5166760571050 10333521142100