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223201103132020 = 22513266035829329
BaseRepresentation
bin110010110000000000001110…
…011101110011010101110100
31002021021211001122101102211011
4302300000032131303111310
5213223411324400211040
62110413100553122004
765004514260120046
oct6260001635632564
91067254048342734
10223201103132020
1165134068971712
1221049a519b9304
139770a09acb100
143d18dc3571a96
151ac0e8d8923ea
hexcb000e773574

223201103132020 has 36 divisors (see below), whose sum is σ = 507551384230380. Its totient is φ = 82412715001344.

The previous prime is 223201103131987. The next prime is 223201103132101. The reversal of 223201103132020 is 20231301102322.

It can be written as a sum of positive squares in 6 ways, for example, as 92013447108496 + 131187656023524 = 9592364^2 + 11453718^2 .

It is a super-3 number, since 3×2232011031320203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223201103131982 and 223201103132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33017911285 + ... + 33017918044.

It is an arithmetic number, because the mean of its divisors is an integer number (14098649561955).

Almost surely, 2223201103132020 is an apocalyptic number.

223201103132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223201103132020 is an abundant number, since it is smaller than the sum of its proper divisors (284350281098360).

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

223201103132020 is a wasteful number, since it uses less digits than its factorization.

223201103132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66035829364 (or 66035829349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223201103132020 its reverse (20231301102322), we get a palindrome (243432404234342).

The spelling of 223201103132020 in words is "two hundred twenty-three trillion, two hundred one billion, one hundred three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 66035829329 132071658658 264143317316 330179146645 660358293290 858465781277 1320716586580 1716931562554 3433863125108 4292328906385 8584657812770 11160055156601 17169315625540 22320110313202 44640220626404 55800275783005 111600551566010 223201103132020