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30032201311224 = 23372197571227027
BaseRepresentation
bin1101101010000011010101…
…01100001110001111111000
310221100001100202010212011120
412311001222230032033320
512414021422013424344
6143512334113025240
76216516642125100
oct665015254161770
9127301322125146
1030032201311224
11962964877a862
123450537555220
13139b0418a4768
1475b7cdcd4200
15371316ccd219
hex1b506ab0e3f8

30032201311224 has 192 divisors, whose sum is σ = 87936008434560. Its totient is φ = 8522083825920.

The previous prime is 30032201311207. The next prime is 30032201311241. The reversal of 30032201311224 is 42211310223003.

It is an interprime number because it is at equal distance from previous prime (30032201311207) and next prime (30032201311241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30032201311194 and 30032201311203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132171199 + ... + 132398225.

It is an arithmetic number, because the mean of its divisors is an integer number (458000043930).

Almost surely, 230032201311224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032201311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968004217280).

30032201311224 is an abundant number, since it is smaller than the sum of its proper divisors (57903807123336).

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

30032201311224 is a wasteful number, since it uses less digits than its factorization.

30032201311224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227818 (or 227807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30032201311224 its reverse (42211310223003), we get a palindrome (72243511534227).

The spelling of 30032201311224 in words is "thirty trillion, thirty-two billion, two hundred one million, three hundred eleven thousand, two hundred twenty-four".