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106405353030 = 2353546845101
BaseRepresentation
bin110001100011001000…
…0001101011001000110
3101011122120102222202010
41203012100031121012
53220404232244110
6120514255555050
710454552402064
oct1430620153106
9334576388663
10106405353030
1141143058699
1218756b2ba86
13a059872472
145215a29034
152b7b742020
hex18c640d646

106405353030 has 16 divisors (see below), whose sum is σ = 255372847344. Its totient is φ = 28374760800.

The previous prime is 106405353023. The next prime is 106405353053. The reversal of 106405353030 is 30353504601.

It is a happy number.

It is a super-3 number, since 3×1064053530303 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3546845101 = 106405353030 / (1 + 0 + 6 + 4 + 0 + 5 + 3 + 5 + 3 + 0 + 3 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773422521 + ... + 1773422580.

It is an arithmetic number, because the mean of its divisors is an integer number (15960802959).

Almost surely, 2106405353030 is an apocalyptic number.

106405353030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106405353030 is an abundant number, since it is smaller than the sum of its proper divisors (148967494314).

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

106405353030 is a wasteful number, since it uses less digits than its factorization.

106405353030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546845111.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 106405353030 its reverse (30353504601), we get a palindrome (136758857631).

The spelling of 106405353030 in words is "one hundred six billion, four hundred five million, three hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 3546845101 7093690202 10640535303 17734225505 21281070606 35468451010 53202676515 106405353030