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1001020101004 = 2271126912082027
BaseRepresentation
bin11101001000100010111…
…00101001000110001100
310112200210210220220222201
432210101130221012030
5112400042121213004
62043510130451244
7132215132316310
oct16442134510614
93480723826881
101001020101004
11356591828980
12142007733b24
137351b7230c1
1436641b07b40
151b08b0b86a4
hexe91172918c

1001020101004 has 48 divisors (see below), whose sum is σ = 2192163160320. Its totient is φ = 388557956160.

The previous prime is 1001020100999. The next prime is 1001020101013. The reversal of 1001020101004 is 4001010201001.

It is a super-2 number, since 2×10010201010042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5958162 + ... + 6123865.

It is an arithmetic number, because the mean of its divisors is an integer number (45670065840).

Almost surely, 21001020101004 is an apocalyptic number.

1001020101004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001020101004 is an abundant number, since it is smaller than the sum of its proper divisors (1191143059316).

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

1001020101004 is a wasteful number, since it uses less digits than its factorization.

1001020101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082318 (or 12082316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001020101004 its reverse (4001010201001), we get a palindrome (5002030302005).

The spelling of 1001020101004 in words is "one trillion, one billion, twenty million, one hundred one thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 269 308 538 1076 1883 2959 3766 5918 7532 11836 20713 41426 82852 12082027 24164054 48328108 84574189 132902297 169148378 265804594 338296756 531609188 930316079 1860632158 3250065263 3721264316 6500130526 13000261052 22750456841 35750717893 45500913682 71501435786 91001827364 143002871572 250255025251 500510050502 1001020101004