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101203313212332 = 223324671088934883
BaseRepresentation
bin10111000000101100111011…
…100010001011101110101100
3111021022221102220102021011000
4113000230323202023232230
5101231103341140243312
6555124054341000300
730213461305526412
oct2700547342135654
9437287386367130
10101203313212332
112a2790a1a41781
12b425a689b3090
13446157bc8aa06
141adc3a33952b2
15ba77e52bcadc
hex5c0b3b88bbac

101203313212332 has 96 divisors (see below), whose sum is σ = 262516946630400. Its totient is φ = 33716700095616.

The previous prime is 101203313212301. The next prime is 101203313212343. The reversal of 101203313212332 is 233212313302101.

101203313212332 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 3 + 3 + 1 + 321 + 2 + 332 = 666.

101203313212332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012033132123322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101203313212296 and 101203313212305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901204163 + ... + 2901239045.

It is an arithmetic number, because the mean of its divisors is an integer number (2734551527400).

Almost surely, 2101203313212332 is an apocalyptic number.

101203313212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101203313212332 is an abundant number, since it is smaller than the sum of its proper divisors (161313633418068).

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

101203313212332 is a wasteful number, since it uses less digits than its factorization.

101203313212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48252 (or 48244 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101203313212332 its reverse (233212313302101), we get a palindrome (334415626514433).

The spelling of 101203313212332 in words is "one hundred one trillion, two hundred three billion, three hundred thirteen million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2467 4934 7401 9868 10889 14802 21778 22203 29604 32667 34883 43556 44406 65334 66609 69766 88812 98001 104649 130668 133218 139532 196002 209298 266436 294003 313947 392004 418596 588006 627894 941841 1176012 1255788 1883682 3767364 26863163 53726326 80589489 86056361 107452652 161178978 172112722 241768467 258169083 322357956 344225444 379840987 483536934 516338166 725305401 759681974 774507249 967073868 1032676332 1139522961 1450610802 1519363948 1549014498 2279045922 2323521747 2901221604 3098028996 3418568883 4558091844 4647043494 6837137766 9294086988 10255706649 13674275532 20511413298 41022826596 937067714929 1874135429858 2811203144787 3748270859716 5622406289574 8433609434361 11244812579148 16867218868722 25300828303083 33734437737444 50601656606166 101203313212332