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231221202121120 = 2553146617177847
BaseRepresentation
bin110100100100101101100001…
…100111011111000110100000
31010022200112100010120021110011
4310210231201213133012200
5220301312010220333440
62135433315344214304
766463115636535211
oct6444554147370640
91108615303507404
10231221202121120
11677463a7744942
1221b2427490a394
139c030b1748513
144115247303408
151bae8da0c89ea
hexd24b619df1a0

231221202121120 has 48 divisors (see below), whose sum is σ = 563881383249408. Its totient is φ = 89504981464320.

The previous prime is 231221202121099. The next prime is 231221202121127. The reversal of 231221202121120 is 21121202122132.

It is a junction number, because it is equal to n+sod(n) for n = 231221202121091 and 231221202121100.

It is not an unprimeable number, because it can be changed into a prime (231221202121127) 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 7 ways as a sum of consecutive naturals, for example, 23308583964 + ... + 23308593883.

It is an arithmetic number, because the mean of its divisors is an integer number (11747528817696).

Almost surely, 2231221202121120 is an apocalyptic number.

231221202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231221202121120 is an abundant number, since it is smaller than the sum of its proper divisors (332660181128288).

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

231221202121120 is a wasteful number, since it uses less digits than its factorization.

231221202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46617177893 (or 46617177885 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 231221202121120 its reverse (21121202122132), we get a palindrome (252342404243252).

The spelling of 231221202121120 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 46617177847 93234355694 186468711388 233085889235 372937422776 466171778470 745874845552 932343556940 1445132513257 1491749691104 1864687113880 2890265026514 3729374227760 5780530053028 7225662566285 7458748455520 11561060106056 14451325132570 23122120212112 28902650265140 46244240424224 57805300530280 115610601060560 231221202121120