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103040400420 = 22325572446669
BaseRepresentation
bin101111111110110101…
…1111011110000100100
3100211222001200200112200
41133331223323300210
53142011320303140
6115200333214500
710305302644446
oct1377553736044
9324861620480
10103040400420
113a77668aa21
1217b78031430
13994169ab49
144db6b82496
152a3110e030
hex17fdafbc24

103040400420 has 36 divisors (see below), whose sum is σ = 312555881820. Its totient is φ = 27477440064.

The previous prime is 103040400413. The next prime is 103040400427. The reversal of 103040400420 is 24004040301.

It is an interprime number because it is at equal distance from previous prime (103040400413) and next prime (103040400427).

It can be written as a sum of positive squares in 2 ways, for example, as 44607974436 + 58432425984 = 211206^2 + 241728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103040400393 and 103040400402.

It is not an unprimeable number, because it can be changed into a prime (103040400427) 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, 286223155 + ... + 286223514.

Almost surely, 2103040400420 is an apocalyptic number.

103040400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040400420 is an abundant number, since it is smaller than the sum of its proper divisors (209515481400).

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

103040400420 is a wasteful number, since it uses less digits than its factorization.

103040400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572446684 (or 572446679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103040400420 its reverse (24004040301), we get a palindrome (127044440721).

The spelling of 103040400420 in words is "one hundred three billion, forty million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 572446669 1144893338 1717340007 2289786676 2862233345 3434680014 5152020021 5724466690 6869360028 8586700035 10304040042 11448933380 17173400070 20608080084 25760100105 34346800140 51520200210 103040400420