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120023400700 = 22527907189043
BaseRepresentation
bin110111111000111110…
…0111100000011111100
3102110210122012111020001
41233301330330003330
53431301442310300
6131045450004044
711446202034010
oct1576174740374
9373718174201
10120023400700
11469a1098445
121b317716624
13b419cbb638
145b484b8540
1531c707916a
hex1bf1f3c0fc

120023400700 has 72 divisors (see below), whose sum is σ = 297987788672. Its totient is φ = 41105292480.

The previous prime is 120023400667. The next prime is 120023400701. The reversal of 120023400700 is 7004320021.

It is a super-3 number, since 3×1200234007003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120023400701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 540379 + ... + 729421.

Almost surely, 2120023400700 is an apocalyptic number.

120023400700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120023400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148993894336).

120023400700 is an abundant number, since it is smaller than the sum of its proper divisors (177964387972).

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

120023400700 is a wasteful number, since it uses less digits than its factorization.

120023400700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189971 (or 189964 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

Adding to 120023400700 its reverse (7004320021), we get a palindrome (127027720721).

The spelling of 120023400700 in words is "one hundred twenty billion, twenty-three million, four hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 907 1814 3628 4535 6349 9070 12698 18140 22675 25396 31745 45350 63490 90700 126980 158725 189043 317450 378086 634900 756172 945215 1323301 1890430 2646602 3780860 4726075 5293204 6616505 9452150 13233010 18904300 26466020 33082525 66165050 132330100 171462001 342924002 685848004 857310005 1200234007 1714620010 2400468014 3429240020 4286550025 4800936028 6001170035 8573100050 12002340070 17146200100 24004680140 30005850175 60011700350 120023400700