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30121322100 = 22352234365409
BaseRepresentation
bin11100000011010111…
…101110011001110100
32212202012120201000020
4130003113232121310
5443142024301400
621500524245140
72114302004412
oct340327563164
985665521006
1030121322100
1111857779131
125a076a07b0
132ac0562a1c
14165a5ca2b2
15bb45e12a0
hex7035ee674

30121322100 has 72 divisors (see below), whose sum is σ = 90940221120. Its totient is φ = 7683118080.

The previous prime is 30121322089. The next prime is 30121322107. The reversal of 30121322100 is 122312103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30121322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121322107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175805 + ... + 2189604.

Almost surely, 230121322100 is an apocalyptic number.

30121322100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30121322100 is an abundant number, since it is smaller than the sum of its proper divisors (60818899020).

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

30121322100 is a wasteful number, since it uses less digits than its factorization.

30121322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365449 (or 4365442 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30121322100 its reverse (122312103), we get a palindrome (30243634203).

The spelling of 30121322100 in words is "thirty billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 4365409 8730818 13096227 17461636 21827045 26192454 43654090 52384908 65481135 87308180 100404407 109135225 130962270 200808814 218270450 261924540 301213221 327405675 401617628 436540900 502022035 602426442 654811350 1004044070 1204852884 1309622700 1506066105 2008088140 2510110175 3012132210 5020220350 6024264420 7530330525 10040440700 15060661050 30121322100