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231545435103220 = 225743114577335693
BaseRepresentation
bin110100101001011011011111…
…011010001001111111110100
31010100211112020111010100020211
4310221123133122021333310
5220322120022341300340
62140242300542235204
766525414506444260
oct6451333732117764
91110745214110224
10231545435103220
116786095a814277
1221b77081885b04
139c27843c07b94
144126c049ab0a0
151bb8064e4a5ea
hexd296df689ff4

231545435103220 has 96 divisors (see below), whose sum is σ = 568639167199488. Its totient is φ = 77539889129472.

The previous prime is 231545435103211. The next prime is 231545435103221. The reversal of 231545435103220 is 22301534545132.

It is a super-2 number, since 2×2315454351032202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231545435103221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689585694 + ... + 689921386.

It is an arithmetic number, because the mean of its divisors is an integer number (5923324658328).

Almost surely, 2231545435103220 is an apocalyptic number.

231545435103220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231545435103220 is an abundant number, since it is smaller than the sum of its proper divisors (337093732096268).

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

231545435103220 is a wasteful number, since it uses less digits than its factorization.

231545435103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450329 (or 450327 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 231545435103220 its reverse (22301534545132), we get a palindrome (253846969648352).

The spelling of 231545435103220 in words is "two hundred thirty-one trillion, five hundred forty-five billion, four hundred thirty-five million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 114577 229154 335693 458308 572885 671386 802039 1145770 1342772 1604078 1678465 2291540 2349851 3208156 3356930 4010195 4699702 4926811 6713860 8020390 9399404 9853622 11749255 14434799 16040780 19707244 23498510 24634055 28869598 34487677 46997020 49268110 57739196 68975354 72173995 98536220 101043593 137950708 144347990 172438385 202087186 288695980 344876770 404174372 505217965 689753540 1010435930 2020871860 38462696861 76925393722 153850787444 192313484305 269238878027 384626968610 538477756054 769253937220 1076955512108 1346194390135 1653895965023 2692388780270 3307791930046 5384777560540 6615583860092 8269479825115 11577271755161 16538959650230 23154543510322 33077919300460 46309087020644 57886358775805 115772717551610 231545435103220