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203123120220 = 2232537183116657
BaseRepresentation
bin1011110100101100010…
…1001101100001011100
3201102021222222122000200
42331023011031201130
511311444004321340
6233151413223500
720450403014526
oct2751305154134
9642258878020
10203123120220
1179164784699
1233449631b90
13162013808c7
149b8cbb6a16
15543c738330
hex2f4b14d85c

203123120220 has 144 divisors (see below), whose sum is σ = 633176177088. Its totient is φ = 52670269440.

The previous prime is 203123120201. The next prime is 203123120261. The reversal of 203123120220 is 22021321302.

203123120220 is a `hidden beast` number, since 20 + 312 + 312 + 0 + 2 + 20 = 666.

203123120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 203123120193 and 203123120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12186132 + ... + 12202788.

Almost surely, 2203123120220 is an apocalyptic number.

203123120220 is a gapful number since it is divisible by the number (20) 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 203123120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316588088544).

203123120220 is an abundant number, since it is smaller than the sum of its proper divisors (430053056868).

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

203123120220 is a wasteful number, since it uses less digits than its factorization.

203123120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18540 (or 18535 counting only the distinct ones).

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

Adding to 203123120220 its reverse (22021321302), we get a palindrome (225144441522).

The spelling of 203123120220 in words is "two hundred three billion, one hundred twenty-three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1831 2220 3330 3662 5493 6660 7324 9155 10986 16479 16657 18310 21972 27465 32958 33314 36620 49971 54930 65916 66628 67747 82395 83285 99942 109860 135494 149913 164790 166570 199884 203241 249855 270988 299826 329580 333140 338735 406482 499710 599652 609723 616309 677470 749565 812964 999420 1016205 1219446 1232618 1354940 1499130 1848927 2032410 2438892 2465236 2998260 3048615 3081545 3697854 4064820 5546781 6097230 6163090 7395708 9244635 11093562 12194460 12326180 18489270 22187124 27733905 30498967 36978540 55467810 60997934 91496901 110935620 121995868 152494835 182993802 274490703 304989670 365987604 457484505 548981406 609979340 914969010 1097962812 1128461779 1372453515 1829938020 2256923558 2744907030 3385385337 4513847116 5489814060 5642308895 6770770674 10156156011 11284617790 13541541348 16926926685 20312312022 22569235580 33853853370 40624624044 50780780055 67707706740 101561560110 203123120220