Search a number
-
+
2300142313100 = 225243787679691
BaseRepresentation
bin100001011110001011001…
…010100101111010001100
322010220001212120010120202
4201132023022211322030
5300141142413004400
64520400520233032
7325115446033412
oct41361312457214
98126055503522
102300142313100
1180753740a015
1231194900b778
13138b96a000c8
147d4828792b2
153ec72ded4d5
hex2178b2a5e8c

2300142313100 has 72 divisors (see below), whose sum is σ = 5113882982208. Its totient is φ = 897517051200.

The previous prime is 2300142313099. The next prime is 2300142313103. The reversal of 2300142313100 is 13132410032.

It is a super-2 number, since 2×23001423131002 (a number of 26 digits) contains 22 as substring.

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 (2300142313103) 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, 3044255 + ... + 3723945.

Almost surely, 22300142313100 is an apocalyptic number.

2300142313100 is a gapful number since it is divisible by the number (20) 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 2300142313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556941491104).

2300142313100 is an abundant number, since it is smaller than the sum of its proper divisors (2813740669108).

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

2300142313100 is a wasteful number, since it uses less digits than its factorization.

2300142313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680535 (or 680528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2300142313100 its reverse (13132410032), we get a palindrome (2313274723132).

The spelling of 2300142313100 in words is "two trillion, three hundred billion, one hundred forty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 787 860 1075 1574 2150 3148 3935 4300 7870 15740 19675 33841 39350 67682 78700 135364 169205 338410 676820 679691 846025 1359382 1692050 2718764 3384100 3398455 6796910 13593820 16992275 29226713 33984550 58453426 67969100 116906852 146133565 292267130 534916817 584534260 730667825 1069833634 1461335650 2139667268 2674584085 2922671300 5349168170 10698336340 13372920425 23001423131 26745840850 46002846262 53491681700 92005692524 115007115655 230014231310 460028462620 575035578275 1150071156550 2300142313100