Search a number
-
+
1030030000032 = 253111019657497
BaseRepresentation
bin11101111110100101001…
…00100111111110100000
310122110200120011111011110
432333102210213332200
5113334000140000112
62105104513343320
7134263050353355
oct16772244477640
93573616144143
101030030000032
1136791909a440
12147762b67b40
1376192935927
1437bd486062c
151bbd7d1913c
hexefd2927fa0

1030030000032 has 96 divisors (see below), whose sum is σ = 2978835943104. Its totient is φ = 309039872000.

The previous prime is 1030029999913. The next prime is 1030030000037. The reversal of 1030030000032 is 2300000300301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1030029999972 and 1030030000017.

It is not an unprimeable number, because it can be changed into a prime (1030030000037) 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 15 ways as a sum of consecutive naturals, for example, 4722093 + ... + 4935404.

It is an arithmetic number, because the mean of its divisors is an integer number (31029541074).

Almost surely, 21030030000032 is an apocalyptic number.

1030030000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030030000032 is an abundant number, since it is smaller than the sum of its proper divisors (1948805943072).

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

1030030000032 is a wasteful number, since it uses less digits than its factorization.

1030030000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657622 (or 9657614 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1030030000032 its reverse (2300000300301), we get a palindrome (3330030300333).

The spelling of 1030030000032 in words is "one trillion, thirty billion, thirty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 106656 9657497 19314994 28972491 38629988 57944982 77259976 106232467 115889964 154519952 212464934 231779928 309039904 318697401 424929868 463559856 637394802 849859736 927119712 975407197 1274789604 1699719472 1950814394 2549579208 2926221591 3399438944 3901628788 5099158416 5852443182 7803257576 10198316832 10729479167 11704886364 15606515152 21458958334 23409772728 31213030304 32188437501 42917916668 46819545456 64376875002 85835833336 93639090912 128753750004 171671666672 257507500008 343343333344 515015000016 1030030000032