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30122032032 = 253335479829
BaseRepresentation
bin11100000011011010…
…011011101110100000
32212202020220202212000
4130003122123232200
5443142220011112
621500551404000
72114311022241
oct340332335640
985666822760
1030122032032
1111858113554
125a07983600
132ac0750bc1
14165a732cc8
15bb46d17dc
hex70369bba0

30122032032 has 96 divisors (see below), whose sum is σ = 87889636800. Its totient is φ = 10036825344.

The previous prime is 30122032021. The next prime is 30122032049. The reversal of 30122032032 is 23023022103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 30122031996 and 30122032014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059694 + ... + 3069522.

It is an arithmetic number, because the mean of its divisors is an integer number (915517050).

Almost surely, 230122032032 is an apocalyptic number.

30122032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30122032032 is an abundant number, since it is smaller than the sum of its proper divisors (57767604768).

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

30122032032 is a wasteful number, since it uses less digits than its factorization.

30122032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13395 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30122032032 its reverse (23023022103), we get a palindrome (53145054135).

The spelling of 30122032032 in words is "thirty billion, one hundred twenty-two million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3547 7094 9829 10641 14188 19658 21282 28376 29487 31923 39316 42564 56752 58974 63846 78632 85128 88461 95769 113504 117948 127692 157264 170256 176922 191538 235896 255384 265383 314528 340512 353844 383076 471792 510768 530766 707688 766152 943584 1021536 1061532 1415376 1532304 2123064 2830752 3064608 4246128 8492256 34863463 69726926 104590389 139453852 209180778 278907704 313771167 418361556 557815408 627542334 836723112 941313501 1115630816 1255084668 1673446224 1882627002 2510169336 3346892448 3765254004 5020338672 7530508008 10040677344 15061016016 30122032032