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1003321221132 = 2231163217932993
BaseRepresentation
bin11101001100110101001…
…10101110000000001100
310112220202011212221101010
432212122212232000030
5112414300213034012
62044530331445220
7132326143444326
oct16463246560014
93486664787333
101003321221132
1135756274454a
1214254a2b6810
13737c739b049
14367bd588616
151b17310bc3c
hexe99a9ae00c

1003321221132 has 48 divisors (see below), whose sum is σ = 2344242176640. Its totient is φ = 333989365248.

The previous prime is 1003321221109. The next prime is 1003321221151. The reversal of 1003321221132 is 2311221233001.

It is a super-2 number, since 2×10033212211322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003321221099 and 1003321221108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30393628 + ... + 30426620.

It is an arithmetic number, because the mean of its divisors is an integer number (48838378680).

Almost surely, 21003321221132 is an apocalyptic number.

1003321221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003321221132 is an abundant number, since it is smaller than the sum of its proper divisors (1340920955508).

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

1003321221132 is a wasteful number, since it uses less digits than its factorization.

1003321221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36342 (or 36340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1003321221132 its reverse (2311221233001), we get a palindrome (3314542454133).

The spelling of 1003321221132 in words is "one trillion, three billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1163 2179 2326 3489 4358 4652 6537 6978 8716 13074 13956 26148 32993 65986 98979 131972 197958 395916 2534177 5068354 7602531 10136708 15205062 30410124 38370859 71891747 76741718 115112577 143783494 153483436 215675241 230225154 287566988 431350482 460450308 862700964 83610101761 167220203522 250830305283 334440407044 501660610566 1003321221132