Search a number
-
+
30212121001200 = 2435225176767501
BaseRepresentation
bin1101101111010010011101…
…01111010111110011110000
310221222020202122210002202220
412313221032233113303300
512424443410434014300
6144131131244241040
76235516344221145
oct667511657276360
9127866678702686
1030212121001200
119698985749916
12347b38a240180
1313b1cb59aa788
147663bb1863cc
15375d47420da0
hex1b7a4ebd7cf0

30212121001200 has 60 divisors (see below), whose sum is σ = 96779494277688. Its totient is φ = 8056565600000.

The previous prime is 30212121001159. The next prime is 30212121001201. The reversal of 30212121001200 is 210012121203.

It is a tau number, because it is divible by the number of its divisors (60).

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 30212121001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30212121001201) 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, 12588382551 + ... + 12588384950.

Almost surely, 230212121001200 is an apocalyptic number.

30212121001200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30212121001200 is an abundant number, since it is smaller than the sum of its proper divisors (66567373276488).

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

30212121001200 is a wasteful number, since it uses less digits than its factorization.

30212121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25176767522 (or 25176767511 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30212121001200 its reverse (210012121203), we get a palindrome (30422133122403).

The spelling of 30212121001200 in words is "thirty trillion, two hundred twelve billion, one hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25176767501 50353535002 75530302503 100707070004 125883837505 151060605006 201414140008 251767675010 302121210012 377651512515 402828280016 503535350020 604242420024 629419187525 755303025030 1007070700040 1208484840048 1258838375050 1510606050060 1888257562575 2014141400080 2517676750100 3021212100120 3776515125150 5035353500200 6042424200240 7553030250300 10070707000400 15106060500600 30212121001200