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223220121331031 = 11297379233520759
BaseRepresentation
bin110010110000010001111100…
…000010011110010101010111
31002021100122011001111001022022
4302300101330002132111113
5213224214302030043111
62110425524051123355
765006056461131306
oct6260217402362527
91067318131431268
10223220121331031
1165141138178060
122105167aba355b
13977274ac6b2c6
143d19ca92c643d
151ac17033242db
hexcb047c09e557

223220121331031 has 64 divisors (see below), whose sum is σ = 259703428608000. Its totient is φ = 189980517242880.

The previous prime is 223220121331019. The next prime is 223220121331037. The reversal of 223220121331031 is 130133121022322.

It is not a de Polignac number, because 223220121331031 - 226 = 223220054222167 is a prime.

It is a super-3 number, since 3×2232201213310313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223220121331037) 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 63 ways as a sum of consecutive naturals, for example, 428383430 + ... + 428904188.

It is an arithmetic number, because the mean of its divisors is an integer number (4057866072000).

Almost surely, 2223220121331031 is an apocalyptic number.

223220121331031 is a deficient number, since it is larger than the sum of its proper divisors (36483307276969).

223220121331031 is a wasteful number, since it uses less digits than its factorization.

223220121331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521184.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 223220121331031 its reverse (130133121022322), we get a palindrome (353353242353353).

The spelling of 223220121331031 in words is "two hundred twenty-three trillion, two hundred twenty billion, one hundred twenty-one million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 11 29 73 79 233 319 803 869 2117 2291 2563 5767 6757 17009 18407 23287 25201 63437 74327 167243 187099 202477 493261 520759 533803 1343711 1839673 5425871 5728349 5871833 14780821 15102011 38015407 38967619 41139961 121336847 166122121 418169477 428643809 452539571 1102446803 1193058869 1334705317 3003217153 3518768563 8857589831 9585610913 12126914833 13123647559 33035388683 38706454193 87093297437 97433488141 105441720043 256870105099 277982716477 699749596649 958026271807 2825571156089 3057809881247 7697245563139 20292738302821 223220121331031