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1020300232332 = 2231926325436691
BaseRepresentation
bin11101101100011101010…
…00100000011010001100
310121112120110220002001210
432312032220200122030
5113204033324413312
62100415222534420
7133466663610603
oct16661650403214
93545513802053
101020300232332
11363785977a07
121458a8597410
13752a1c22c34
1437550562a3a
151b818a39e3c
hexed8ea2068c

1020300232332 has 96 divisors (see below), whose sum is σ = 2516894392320. Its totient is φ = 320800806720.

The previous prime is 1020300232321. The next prime is 1020300232373. The reversal of 1020300232332 is 2332320030201.

It is a junction number, because it is equal to n+sod(n) for n = 1020300232299 and 1020300232308.

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, 152485107 + ... + 152491797.

It is an arithmetic number, because the mean of its divisors is an integer number (26217649920).

Almost surely, 21020300232332 is an apocalyptic number.

1020300232332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020300232332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258447196160).

1020300232332 is an abundant number, since it is smaller than the sum of its proper divisors (1496594159988).

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

1020300232332 is a wasteful number, since it uses less digits than its factorization.

1020300232332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1020300232332 its reverse (2332320030201), we get a palindrome (3352620262533).

The spelling of 1020300232332 in words is "one trillion, twenty billion, three hundred million, two hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 263 526 789 1052 1578 2543 3156 4997 5086 6691 7629 9994 10172 13382 14991 15258 19988 20073 26764 29982 30516 40146 48317 59964 80292 96634 127129 144951 193268 254258 289902 381387 508516 579804 668809 762774 1337618 1525548 1759733 2006427 2675236 3519466 4012854 5279199 7038932 8025708 10558398 12707371 17015213 21116796 25414742 33434927 34030426 38122113 50829484 51045639 66869854 68060852 76244226 100304781 102091278 133739708 152488452 200609562 204182556 323289047 401219124 646578094 969867141 1293156188 1939734282 3879468564 4475001019 8950002038 13425003057 17900004076 26850006114 53700012228 85025019361 170050038722 255075058083 340100077444 510150116166 1020300232332