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103000414032 = 2432715280653
BaseRepresentation
bin101111111101101001…
…1011001011101010000
3100211212021110011112100
41133323103121131100
53141421101222112
6115152344200400
710304306034165
oct1377323313520
9324767404470
10103000414032
113a75605961a
1217b66769100
13993630a569
144db173406c
152a2c8612dc
hex17fb4d9750

103000414032 has 30 divisors (see below), whose sum is σ = 288258103562. Its totient is φ = 34333471296.

The previous prime is 103000414009. The next prime is 103000414039. The reversal of 103000414032 is 230414000301.

It can be written as a sum of positive squares in only one way, i.e., 54654958656 + 48345455376 = 233784^2 + 219876^2 .

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 = 103000413996 and 103000414014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000414039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357640183 + ... + 357640470.

Almost surely, 2103000414032 is an apocalyptic number.

103000414032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103000414032 is an abundant number, since it is smaller than the sum of its proper divisors (185257689530).

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

103000414032 is a wasteful number, since it uses less digits than its factorization.

103000414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715280667 (or 715280658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103000414032 its reverse (230414000301), we get a palindrome (333414414333).

The spelling of 103000414032 in words is "one hundred three billion, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 715280653 1430561306 2145841959 2861122612 4291683918 5722245224 6437525877 8583367836 11444490448 12875051754 17166735672 25750103508 34333471344 51500207016 103000414032