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112030223220 = 223251675576691
BaseRepresentation
bin110100001010110000…
…1011000101101110100
3101201011120122000001200
41220111201120231310
53313414214120340
6123244352252500
711044133120406
oct1502541305564
9351146560050
10112030223220
114356a15a943
1219866841130
13a744cc6a16
1455caaa8b76
152daa47a330
hex1a15858b74

112030223220 has 144 divisors (see below), whose sum is σ = 342524827008. Its totient is φ = 29638091520.

The previous prime is 112030223219. The next prime is 112030223243. The reversal of 112030223220 is 22322030211.

112030223220 is a `hidden beast` number, since 1 + 120 + 302 + 23 + 220 = 666.

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 = 112030223193 and 112030223202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16740075 + ... + 16746765.

It is an arithmetic number, because the mean of its divisors is an integer number (2378644632).

Almost surely, 2112030223220 is an apocalyptic number.

112030223220 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 112030223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171262413504).

112030223220 is an abundant number, since it is smaller than the sum of its proper divisors (230494603788).

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

112030223220 is a wasteful number, since it uses less digits than its factorization.

112030223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112030223220 its reverse (22322030211), we get a palindrome (134352253431).

The spelling of 112030223220 in words is "one hundred twelve billion, thirty million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 557 668 835 1002 1114 1503 1670 1671 2004 2228 2505 2785 3006 3340 3342 5010 5013 5570 6012 6684 6691 7515 8355 10020 10026 11140 13382 15030 16710 20052 20073 25065 26764 30060 33420 33455 40146 50130 60219 66910 80292 93019 100260 100365 120438 133820 186038 200730 240876 279057 301095 372076 401460 465095 558114 602190 837171 930190 1116228 1117397 1204380 1395285 1674342 1860380 2234794 2790570 3348684 3352191 3726887 4185855 4469588 5581140 5586985 6704382 7453774 8371710 10056573 11173970 11180661 13408764 14907548 16743420 16760955 18634435 20113146 22347940 22361322 33521910 33541983 37268870 40226292 44722644 50282865 55903305 67043820 67083966 74537740 100565730 111806610 134167932 167709915 201131460 223613220 335419830 622390129 670839660 1244780258 1867170387 2489560516 3111950645 3734340774 5601511161 6223901290 7468681548 9335851935 11203022322 12447802580 18671703870 22406044644 28007555805 37343407740 56015111610 112030223220