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1022021130330 = 232577571463941
BaseRepresentation
bin11101101111101010011…
…01001101100001011010
310121201000102001202022200
432313311031031201122
5113221044402132310
62101302055431030
7133560431162124
oct16676515154132
93551012052280
101022021130330
11364489314062
121460a8985476
13754b7608585
1437674d28214
151b8b9b6a9c0
hexedf534d85a

1022021130330 has 48 divisors (see below), whose sum is σ = 2657599316424. Its totient is φ = 272503647360.

The previous prime is 1022021130293. The next prime is 1022021130331. The reversal of 1022021130330 is 330311202201.

1022021130330 is a `hidden beast` number, since 1 + 0 + 2 + 202 + 1 + 130 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 627924701889 + 394096428441 = 792417^2 + 627771^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022021130331) 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 23 ways as a sum of consecutive naturals, for example, 33841 + ... + 1430100.

Almost surely, 21022021130330 is an apocalyptic number.

1022021130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022021130330 is an abundant number, since it is smaller than the sum of its proper divisors (1635578186094).

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

1022021130330 is a wasteful number, since it uses less digits than its factorization.

1022021130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471711 (or 1471708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022021130330 its reverse (330311202201), we get a palindrome (1352332332531).

The spelling of 1022021130330 in words is "one trillion, twenty-two billion, twenty-one million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7757 15514 23271 38785 46542 69813 77570 116355 139626 232710 349065 698130 1463941 2927882 4391823 7319705 8783646 13175469 14639410 21959115 26350938 43918230 65877345 131754690 11355790337 22711580674 34067371011 56778951685 68134742022 102202113033 113557903370 170336855055 204404226066 340673710110 511010565165 1022021130330