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30120100020 = 2233555777963
BaseRepresentation
bin11100000011010011…
…000100000010110100
32212202010021121122000
4130003103010002310
5443141221200040
621500442135300
72114255424453
oct340323040264
985663247560
1030120100020
1111857013a4a
125a071b1530
132ac02256ba
14165a38cb9a
15bb444e130
hex7034c40b4

30120100020 has 48 divisors (see below), whose sum is σ = 93706979520. Its totient is φ = 8032026528.

The previous prime is 30120099983. The next prime is 30120100063. The reversal of 30120100020 is 2000102103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30120099975 and 30120100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27888442 + ... + 27889521.

It is an arithmetic number, because the mean of its divisors is an integer number (1952228740).

Almost surely, 230120100020 is an apocalyptic number.

30120100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30120100020 is an abundant number, since it is smaller than the sum of its proper divisors (63586879500).

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

30120100020 is a wasteful number, since it uses less digits than its factorization.

30120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55777981 (or 55777973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30120100020 its reverse (2000102103), we get a palindrome (32120202123).

The spelling of 30120100020 in words is "thirty billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 55777963 111555926 167333889 223111852 278889815 334667778 502001667 557779630 669335556 836669445 1004003334 1115559260 1506005001 1673338890 2008006668 2510008335 3012010002 3346677780 5020016670 6024020004 7530025005 10040033340 15060050010 30120100020