Search a number
-
+
30201031012122 = 2323929427038701
BaseRepresentation
bin1101101110111101110011…
…01110011010111100011010
310221221012010210000021201200
412313132321232122330122
512424303202414341442
6144122055003255030
76234644462656365
oct667367156327432
9127835123007650
1030201031012122
119694204737993
1234791b421a476
1313b0c39236169
14765a4836d0dc
153758e8a0834c
hex1b77b9b9af1a

30201031012122 has 24 divisors (see below), whose sum is σ = 65452221855540. Its totient is φ = 10064448081600.

The previous prime is 30201031012081. The next prime is 30201031012183. The reversal of 30201031012122 is 22121013010203.

30201031012122 is a `hidden beast` number, since 30 + 201 + 0 + 310 + 1 + 2 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30143492915481 + 57538096641 = 5490309^2 + 239871^2 .

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 = 30201031012095 and 30201031012104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213448629 + ... + 213590072.

Almost surely, 230201031012122 is an apocalyptic number.

30201031012122 is an abundant number, since it is smaller than the sum of its proper divisors (35251190843418).

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

30201031012122 is a wasteful number, since it uses less digits than its factorization.

30201031012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427042638 (or 427042635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30201031012122 its reverse (22121013010203), we get a palindrome (52322044022325).

The spelling of 30201031012122 in words is "thirty trillion, two hundred one billion, thirty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3929 7858 11787 23574 35361 70722 427038701 854077402 1281116103 2562232206 3843348309 7686696618 1677835056229 3355670112458 5033505168687 10067010337374 15100515506061 30201031012122